Abstract
Predicting complex structures’ dynamic behavior is challenging, especially since full-scale testing of structures subjected to natural hazards is not always possible. Testing individual systems is insufficient, and consequently, engineering experimentation requires refinement. Hybrid simulation (HS) is a cost-effective and efficient dynamic testing technique that evaluates a systems’ performance with rate-dependent behavior. HS is also known as cyber-physical testing, dynamic virtualization, pseudo-dynamic testing, dynamic sub-structuring, and hardware-in-the-loop. In structural engineering, it consists of combining experimental-analytic simulations of structures subjected to dynamic loading. It seeks to: (1) leverage established understandings about the physical world to gain insight into the behavior of physical systems that have limited prior knowledge, and (2) study the coupling of physical and computational models to realistically include their dynamic interactions. The cyber-physical setup consists of dividing a structure into numerical and physical substructures and using actuators to achieve the coupling. The actuator dynamics generate a time delay in the overall system that affects the simulation’s accuracy and stability. Hence, tracking control methodologies strive to mitigate these adverse effects. Cyber-physical testing with linear, pre-determined models has been studied and established. Thus, recent studies seek to enable the most realistic conditions for such engineering experimentation through robust, nonlinear and adaptive control methodologies to address challenging cases involving damage, failures, or sharply changing dynamics. This paper presents a state-of-the-art review of recent tracking control methodologies for real-time hybrid simulation (RTHS), including identifying the limitations and challenges of modern implementations. Furthermore, this paper presents a comparative study evaluating control methodologies using a benchmark problem.
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References
Shao X, Reinhorn AM, Sivaselvan MV (2010) Real-time hybrid simulation using shake tables and dynamic actuators. J Struct Eng 137(7):748–760
Bas E, Moustafa M (2020) Performance and limitations of real-time hybrid simulation with nonlinear computational substructures. Exp Tech 44(6):715–734
Hakuno M, Shidawara M, Hara T (1969) Dynamic destructive test of a cantilever beam, controlled by an analog-computer. Proc Jpn Soc Civ Eng 1969:1–9
Andreev MV, Gusev AS, Ruban NY, Suvorov AA, Ufa RA, Askarov AB, Bemš J, Králík T (2019) Hybrid real-time simulator of large-scale power systems. IEEE Trans Power Syst 34(2):1404–1415
Joshi A (2019) A novel approach for validating adaptive cruise control (ACC) using two hardware-in-the-loop (HIL) simulation benches. In: SAE Technical Paper. https://doi.org/10.4271/2019-01-1038
Nakashima M, Kato H, Takaoka E (1992) Development of real-time pseudo dynamic testing. Earthq Eng Struct Dyn 21(1):79–92
Christenson R, Lin YZ, Emmons A, Bass B (2008) Large-scale experimental verification of semiactive control through real-time hybrid simulation. J Struct Eng 134(4):522–534
Chen C, Ricles JM (2012) Large-scale real-time hybrid simulation involving multiple experimental substructures and adaptive actuator delay compensation. Earthq Eng Struct Dyn 41(3):549–569
Chae Y, Ricles JM, Sause R (2012) Large-scale experimental studies of structural control algorithms for structures with magnetorheological dampers using real-time hybrid simulation. J Struct Eng 139(7):1215–1226
Chae Y, Kazemibidokhti K, Ricles JM (2013) Adaptive time series compensator for delay compensation of servo-hydraulic actuator systems for real-time hybrid simulation. Earthq Eng Struct Dyn 42(11):1697–1715
Mercan O, Ricles JM (2009) Experimental studies on real-time testing of structures with elastomeric dampers. J Struct Eng 135(9):1124–1133
Wu T, Song W (2019) Real-time aerodynamics hybrid simulation: wind-induced effects on a reduced-scale building equipped with full-scale dampers. J Wind Eng Ind Aerodyn 190:1–9
Zhang Z, Basu B, Nielsen SR (2019) Real-time hybrid aeroelastic simulation of wind turbines with various types of full-scale tuned liquid dampers. Wind Energy 22(2):239–256
Sauder T, Chabaud V, Thys M, Bachynski EE, Sæther LO (2016) Real-time hybrid model testing of a braceless semi-submersible wind turbine: Part i–the hybrid approach. In: ASME 2016 35th international conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers, New York, p 006-0903900609039
Vilsen SA, Sauder T, Sørensen AJ, Føre M (2019) Method for real-time hybrid model testing of ocean structures: case study on horizontal mooring systems. Ocean Eng 172:46–58
Isermann R, Schaffnit J, Sinsel S (1999) Hardware-in-the-loop simulation for the design and testing of engine-control systems. Control Eng Pract 7(5):643–653
Anderson O (1962) A design tool (research and development) simulator survey report. Technical Report. SAE Technical Paper
Drosdol J, Panik F (1985) The Daimler–Benz driving simulator a tool for vehicle development. SAE Trans 94:981–997
Kempf DJ, Bonderson LS, Slafer LI (1987) Real time simulation for application to ABS development. Technical report, SAE Technical Paper
Bouscayrol A (2008) Different types of hardware-in-the-loop simulation for electric drives. In: IEEE international symposium on industrial electronics, 2008 (ISIE 2008). IEEE, Piscataway, pp 2146–2151
Fathy HK, Filipi ZS, Hagena J, Stein JL (2006) Review of hardware-in-the-loop simulation and its prospects in the automotive area. In: Modeling and simulation for military applications, vol 6228. International Society for Optics and Photonics, Bellingham, p 62280
Bacic M (2005) On hardware-in-the-loop simulation. In: 44th IEEE conference on decision and control and the European control conference (CDC-ECC'05). IEEE, Piscataway, pp 3194–3198
Luo K, Shi W, Chi Y, Wu Q, Wang W (2017) Stability and accuracy considerations in the design and implementation of wind turbine power hardware in the loop platform. CSEE J Power Energy Syst 3(2):167–175
Aziz S, Wang H, Liu Y, Peng J, Jiang H (2019) Variable universe fuzzy logic-based hybrid LFC control with real-time implementation. IEEE Access 7:25535–25546
Cale J, Johnson B, Dall’Anese E, Young P, Duggan G, Bedge P, Zimmerle D, Holton L (2018) Mitigating communication delays in remotely connected hardware-in-the-loop experiments. IEEE Trans Ind Electron. https://doi.org/10.1109/TIE.2018.2821618
Yu S, Han J, Qu Z, Yang Y (2018) A force and displacement compensation method towards divergence and accuracy of hardware-in-the-loop simulation system for manipulator docking. IEEE Access. https://doi.org/10.1109/ACCESS.2018.2842106
Joshi A (2017) Hardware-in-the-loop (hil) implementation and validation of sae level 2 autonomous vehicle with subsystem fault tolerant fallback performance for takeover scenarios. Technical report, SAE Technical Paper
Takanashi K, Udagawa K, Seki M, Okada T, Tanaka H (1975) Nonlinear earthquake response analysis of structures by a computer-actuator on-line system. Bull Earthq Resist Struct Res Center 8:1–17
Mahin SA, Shing PB (1985) Pseudodynamic method for seismic testing. J Struct Eng 111(7):1482–1503
Takanashi K, Ohi K (1983) Earthquake response analysis of steel structures by rapid computer-actuator on-line system, (1) a progress report, trial system and dynamic response of steel beams. Bull. Earthq Resist Struct Res Center (ERS) 16:103–109
Dermitzakis SN, Mahin SA (1985) Development of substructuring techniques for on-line computer controlled seismic performance testing. PhD thesis, University of California, Berkeley
Dhakal R, Mander J, Mashiko N (2007) Bidirectional pseudodynamic tests of bridge piers designed to different standards. J Bridge Eng 12(3):284–295
Obata M, Goto Y (2007) Development of multidirectional structural testing system applicable to pseudodynamic test. J Struct Eng 133(5):638–645
Nakata N, Spencer BF Jr, Elnashai AS (2007) Multi-dimensional mixed-mode hybrid simulation control and applications. Technical report. Newmark Structural Engineering Laboratory, University of Illinois at Urbana Champaigne
Mahmoud HN, Elnashai AS, Spencer BF Jr, Kwon O-S, Bennier DJ (2013) Hybrid simulation for earthquake response of semirigid partial-strength steel frames. J Struct Eng 139(7):1134–1148
Nakashima M, Masaoka N (1999) Real-time on-line test for mdof systems. Earthq Eng Struct Dyn 28(4):393–420
Iemura H, Igarashi A, Takahashi Y (1999) Substructured hybrid techniques for actuator loading and shaking table tests. In: Proceedings of the first international conference on advances in structural engineering and mechanics, pp 821–826
Igarashi A, Iemura H, Suwa T (2000) Development of substructured shaking table test method. In: Proceedings of the 12th world conference on earthquake engineering
Fermandois GA, Spencer BF (2017) Model-based framework for multi-axial real-time hybrid simulation testing. Earthq Eng Eng Vib 16(4):671–691
Colletti J (2019) Enabling full-scale soil–structure interaction modeling through analysis of a geotechnical laminar box and real-time dynamic hybrid simulation. PhD thesis, State University of New York at Buffalo
Sauder T (2018) Fidelity of cyber-physical empirical methods application to the active truncation of slender marine structures. PhD thesis, Norwegian University of Science and Technology
Ozdagli AI (2015) Distributed real-time hybrid simulation: modeling, development and experimental validation. PhD thesis, Purdue University
Li X, Ozdagli AI, Dyke SJ, Lu X, Christenson R (2017) Development and verification of distributed real-time hybrid simulation methods. J Comput Civ Eng 31(4):04017014
Lu L-Q, Wang J-T, Zhu F (2018) Improvement of real-time hybrid simulation using parallel finite-element program. J Earthq Eng 24(10):1–19
Shao X, Mueller A, Mohammed BA (2016) Real-time hybrid simulation with online model updating: methodology and implementation. J Eng Mech 142(2):04015074
Zhang R, Phillips BM, Fernández-Cabán PL, Masters FJ (2019) Cyber-physical structural optimization using real-time hybrid simulation. Eng Struct 195:113–124
Silva CE, Gomez D, Maghareh A, Dyke SJ, Spencer BF Jr (2020) Benchmark control problem for real-time hybrid simulation. Mech Syst Signal Process 135:106381
Gutierrez Soto M, Adeli H (2013) Tuned mass dampers. Arch Comput Methods Eng 20(4):419–431
Elias S, Matsagar V (2017) Research developments in vibration control of structures using passive tuned mass dampers. Annu Rev Control 44:129–156
Schellenberg AH, Becker TC, Mahin SA (2017) Hybrid shake table testing method: theory, implementation and application to midlevel isolation. Struct Control Health Monit 24(5):1915
Najafi A, Fermandois GA, Spencer BF Jr (2020) Decoupled model-based real-time hybrid simulation with multi-axial load and boundary condition boxes. Eng Struct 219:110868
Condori J, Maghareh A, Orr J, Li H-W, Montoya H, Dyke S, Gill C, Prakash A (2020) Exploiting parallel computing to control uncertain nonlinear systems in real-time. Exp Tech 44:735–749
Dyke S, Spencer B Jr, Quast P, Sain M (1995) Role of control-structure interaction in protective system design. J Eng Mech 121(2):322–338
Maghareh A, Silva CE, Dyke SJ (2018) Servo-hydraulic actuator in controllable canonical form: identification and experimental validation. Mech Syst Signal Process 100:398–414
Kim SJ, Christenson RE, Wojtkiewicz SF, Johnson EA (2011) Real-time hybrid simulation using the convolution integral method. Smart Mater Struct 20(2):025024
Bonnet P, Williams M, Blakeborough A (2008) Evaluation of numerical time-integration schemes for real-time hybrid testing. Earthq Eng Struct Dyn 37(13):1467–1490
Wang J, Lu L, Zhu F (2018) Efficiency analysis of numerical integrations for finite element substructure in real-time hybrid simulation. Earthq Eng Eng Vib 17(1):73–86
Horiuchi T, Konno T (2001) A new method for compensating actuator delay in real-time hybrid experiments. Philos Trans R Soc Lond A Math Phys Eng Sci 359(1786):1893–1909
Chang S-Y (2002) Explicit pseudodynamic algorithm with unconditional stability. J Eng Mech 128(9):935–947
Chen C, Ricles JM (2008) Stability analysis of sdof real-time hybrid testing systems with explicit integration algorithms and actuator delay. Earthq Eng Struct Dyn 37(4):597–613
Kolay C, Ricles JM (2014) Development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation. Earthq Eng Struct Dyn 43(9):1361–1380
Tang Y, Lou M (2017) New unconditionally stable explicit integration algorithm for real-time hybrid testing. J Eng Mech 143(7):04017029
Palacio-Betancur A, Gutierrez Soto M (2019) Adaptive tracking control for real-time hybrid simulation of structures subjected to seismic loading. Mech Syst Signal Process 134:106345
Carrion JE, Spencer BF Jr (2007) Model-based strategies for real-time hybrid testing. Technical report, Newmark Structural Engineering Laboratory, University of Illinois at Urbana
Zhao J, French C, Shield C, Posbergh T (2003) Considerations for the development of real-time dynamic testing using servo-hydraulic actuation. Earthq Eng Struct Dyn 32(11):1773–1794
Horiuchi T, Nakagawa M, Sugano M, Konno T (1996) Development of a real-time hybrid experimental system with actuator delay compensation. In: Proceedings of 11th world conference in earthquake engineering, No. 660, Acapulco, Mexico
Maghareh A (2017) Nonlinear robust framework for real-time hybrid simulation of structural systems: design, implementation, and validation. PhD thesis, Purdue University
Maghareh A, Dyke SJ, Prakash A, Rhoads JF (2014) Establishing a stability switch criterion for effective implementation of real-time hybrid simulation. Smart Struct Syst 14(6):1221–1245
Gao X, Castaneda N, Dyke SJ (2013) Real time hybrid simulation: from dynamic system, motion control to experimental error. Earthq Eng Struct Dyn 42(6):815–832
Gao XS, You S (2019) Dynamical stability analysis of mdof real-time hybrid system. Mech Syst Signal Process 133:106261
Maghareh A, Dyke SJ, Prakash A, Rhoads JF (2013) Establishing predictive indicators for stability and performance of SDOF real-time hybrid simulations. Technical report
Maghareh A, Dyke SJ, Prakash A, Bunting GB (2014) Establishing a predictive performance indicator for real-time hybrid simulation. Earthq Eng Struct Dyn 43(15):2299–2318
Maghareh A, Dyke S, Rabieniaharatbar S, Prakash A (2017) Predictive stability indicator: a novel approach to configuring a real-time hybrid simulation. Earthq Eng Struct Dyn 46(1):95–116
Christenson R, Dyke S, Zhang J, Mosqueda G, Chen C, Nakata N, Laplace P, Song W, Chae Y, Marshall G et al (2014) Hybrid simulation: a discussion of current assessment measures. Purdue University, West Lafayette
Huang L, Chen C, Guo T, Chen M (2019) Stability analysis of real-time hybrid simulation for time-varying actuator delay using the Lyapunov–Krasovskii functional approach. J Eng Mech 145(1):04018124
Gálmez C, Fermandois G (2020) Online stability analysis for real-time hybrid simulation testing. Front Built Environ 6:134
Carrion JE, Spencer B (2006) Real-time hybrid testing using model-based delay compensation. In: Proceedings of the 4th international conference on earthquake engineering, vol 299
Chen C (2007) Development and numerical simulation of hybrid effective force testing method. PhD Dissertation, Lehigh University
Chen C, Ricles JM, Marullo TM, Mercan O (2009) Real-time hybrid testing using the unconditionally stable explicit CR integration algorithm. Earthq Eng Struct Dyn 38(1):23–44
Darby A, Blakeborough A, Williams M (1999) Real-time substructure tests using hydraulic actuator. J Eng Mech 125(10):1133–1139
Horiuchi T, Inoue M, Konno T, Namita Y (1999) Real-time hybrid experimental system with actuator delay compensation and its application to a piping system with energy absorber. Earthq Eng Struct Dyn 28(10):1121–1141
Darby A, Blakeborough A, Williams M (2001) Improved control algorithm for real-time substructure testing. Earthq Eng Struct Dyn 30(3):431–448
Wu B, Wang Z, Bursi OS (2013) Actuator dynamics compensation based on upper bound delay for real-time hybrid simulation. Earthq Eng Struct Dyn 42(12):1749–1765
Zhu F, Wang J-T, Jin F, Gui Y, Zhou M-X (2014) Analysis of delay compensation in real-time dynamic hybrid testing with large integration time-step. Smart Struct Syst 14(6):1269–1289
Gui Y, Wang J-T, Jin F, Chen C, Zhou M-X (2014) Development of a family of explicit algorithms for structural dynamics with unconditional stability. Nonlinear Dyn 77(4):1157–1170
Ning X, Wang Z, Zhou H, Wu B, Ding Y, Xu B (2019) Robust actuator dynamics compensation method for real-time hybrid simulation. Mech Syst Signal Process 131:49–70
Zhou H, Xu D, Shao X, Ning X, Wang T (2019) A robust linear-quadratic-Gaussian controller for the real-time hybrid simulation on a benchmark problem. Mech Syst Signal Process 133:106260
Jung R-Y, Benson Shing P, Stauffer E, Thoen B (2007) Performance of a real-time pseudodynamic test system considering nonlinear structural response. Earthq Eng Struct Dyn 36(12):1785–1809
Phillips BM, Spencer BF Jr (2011) Model-based feedforward-feedback tracking control for real-time hybrid simulation. Newmark Structural Engineering Laboratory. Technical report, University of Illinois at Urbana
Phillips BM, Takada S, Spencer B Jr, Fujino Y (2014) Feedforward actuator controller development using the backward-difference method for real-time hybrid simulation. Smart Struct Syst 14(6):1081–1103
Nakata N, Stehman M (2014) Compensation techniques for experimental errors in real-time hybrid simulation using shake tables. Smart Struct Syst 14(6):1055–1079
Hayati S, Song W (2017) Design and performance evaluation of an optimal discrete-time feedforward controller for servo-hydraulic compensation. J Eng Mech 144(2):04017163
Ou G, Ozdagli AI, Dyke SJ, Wu B (2015) Robust integrated actuator control: experimental verification and real-time hybrid-simulation implementation. Earthq Eng Struct Dyn 44(3):441–460
Jung R-Y, Benson Shing P (2006) Performance evaluation of a real-time pseudodynamic test system. Earthq Eng Struct Dyn 35(7):789–810
Bonnet P, Lim C, Williams M, Blakeborough A, Neild S, Stoten D, Taylor C (2007) Real-time hybrid experiments with newmark integration, mcsmd outer-loop control and multi-tasking strategies. Earthq Eng Struct Dyn 36(1):119–141
Chen C, Ricles JM (2009) Improving the inverse compensation method for real-time hybrid simulation through a dual compensation scheme. Earthq Eng Struct Dyn 38(10):1237–1255
Shao X, Reinhorn A (2012) Development of a controller platform for force-based real-time hybrid simulation. J Earthq Eng 16(2):274–295
Verma M, Rajasankar J, Iyer NR (2014) Fuzzy logic controller for real-time substructuring applications. J Vib Control 20(8):1103–1118
Günay S, Mosalam KM (2015) Enhancement of real-time hybrid simulation on a shaking table configuration with implementation of an advanced control method. Earthq Eng Struct Dyn 44(5):657–675
Stehman M, Nakata N (2016) Iir compensation in real-time hybrid simulation using shake tables with complex control–structure–interaction. J Earthq Eng 20(4):633–653
Verma M, Sivaselvan M (2019) Impedance matching control design for the benchmark problem in real-time hybrid simulation. Mech Syst Signal Process 134:106343
Peiris LH, Plummer AR, du Bois JL (2021) Passivity control for nonlinear real-time hybrid tests. Proc Inst Mech Eng Part I J Syst Control Eng 235(6):914–928
Peiris LDH, Plummer AR, du Bois JL (2022) Normalized passivity control for robust tuning in real-time hybrid tests. Int J Robust Nonlinear Control 32(7):4355–4375
Neild S, Drury D, Stoten D (2005) An improved substructuring control strategy based on the adaptive minimal control synthesis control algorithm. Proc Inst Mech Eng Part I J Syst Control Eng 219(5):305–317
Neild S, Stoten D, Drury D, Wagg D (2005) Control issues relating to real-time substructuring experiments using a shaking table. Earthq Eng Struct Dyn 34(9):1171–1192
Lim C, Neild S, Stoten D, Taylor C, Drury D (2004) Using adaptive control for dynamic substructuring tests. In: Proceedings of the 3rd European conference on structural control
Lim C, Neild S, Stoten D, Drury D, Taylor C (2007) Adaptive control strategy for dynamic substructuring tests. J Eng Mech 133(8):864–873
Darby A, Williams M, Blakeborough A (2002) Stability and delay compensation for real-time substructure testing. J Eng Mech 128(12):1276–1284
Ahmadizadeh M, Mosqueda G, Reinhorn A (2008) Compensation of actuator delay and dynamics for real-time hybrid structural simulation. Earthq Eng Struct Dyn 37(1):21–42
Wallace M, Wagg D, Neild S (2005) An adaptive polynomial based forward prediction algorithm for multi-actuator real-time dynamic substructuring. Proc R Soc A Math Phys Eng Sci 461(2064):3807–3826
Tu J-Y, Hsiao W-D, Chen C-Y (2014) Modelling and control issues of dynamically substructured systems: adaptive forward prediction taken as an example. Proc R Soc A Math Phys Eng Sci 470(2168):20130773
Zhou H, Wagg DJ, Li M (2017) Equivalent force control combined with adaptive polynomial-based forward prediction for real-time hybrid simulation. Struct Control Health Monit 24(11):e2018
Wu B, Wang Q, Benson Shing P, Ou J (2007) Equivalent force control method for generalized real-time substructure testing with implicit integration. Earthq Eng Struct Dyn 36(9):1127–1149
Xu D, Zhou H, Shao X, Wang T (2019) Performance study of sliding mode controller with improved adaptive polynomial-based forward prediction. Mech Syst Signal Process 133:106263
Wang Z, Ning X, Xu G, Zhou H, Wu B (2019) High performance compensation using an adaptive strategy for real-time hybrid simulation. Mech Syst Signal Process 133:106262
Chen P-C, Tsai K-C (2013) Dual compensation strategy for real-time hybrid testing. Earthq Eng Struct Dyna 42(1):1–23
Tao J, Mercan O (2019) A study on a benchmark control problem for real-time hybrid simulation with a tracking error-based adaptive compensator combined with a supplementary proportional-integral-derivative controller. Mech Syst Signal Process 134:106346
Chen C, Ricles JM (2010) Tracking error-based servohydraulic actuator adaptive compensation for real-time hybrid simulation. J Struct Eng 136(4):432–440
Mercan O (2007) Analytical and experimental studies on large scale, real-time pseudodynamic testing. Lehigh University, Lehigh
Chen C, Ricles JM, Guo T (2012) Improved adaptive inverse compensation technique for real-time hybrid simulation. J Eng Mech 138(12):1432–1446
Xu W, Chen C, Guo T, Chen M (2019) Evaluation of frequency evaluation index based compensation for benchmark study in real-time hybrid simulation. Mech Syst Signal Process 130:649–663
Chae Y, Rabiee R, Dursun A, Kim C-Y (2018) Real-time force control for servo-hydraulic actuator systems using adaptive time series compensator and compliance springs. Earthq Eng Struct Dyn 47(4):854–871
Chen P-C, Chang C-M, Spencer BF, Tsai K-C (2015) Adaptive model-based tracking control for real-time hybrid simulation. Bull Earthq Eng 13(6):1633–1653
Gálmez C, Fermandois G (2022) Robust adaptive model-based compensator for the real-time hybrid simulation benchmark. Struct Control Health Monit 29(7):2962
Najafi A, Spencer BF Jr (2019) Adaptive model reference control method for real-time hybrid simulation. Mech Syst Signal Process 132:183–193
Ouyang Y, Shi W, Shan J, Spencer BF (2019) Backstepping adaptive control for real-time hybrid simulation including servo-hydraulic dynamics. Mech Syst Signal Process 130:732–754
Maghareh A, Dyke SJ, Silva CE (2020) A self-tuning robust control system for nonlinear real-time hybrid simulation. Earthq Eng Struct Dyn 49(7):695–715
Silva CE, Gomez D, Maghareh A, Dyke SJ, Spencer Jr BF (2020) RTHS code RT V24. Benchmark control problem for real-time hybrid simulation. Mech Syst Signal Process 135:106381. https://doi.org/10.17632/j4mnhgncf7.2
Fermandois GA (2019) Application of model-based compensation methods to real-time hybrid simulation benchmark. Mech Syst Signal Process 131:394–416
Palacio-Betancur A, Gutierrez Soto M (2022) Recent advances in computational methodologies for real-time hybrid simulation of engineering structures. Comparison of numerical integration methods using a vRTHS of a 3 story steel frame—DesignSafe-CI v1. https://doi.org/10.17603/ds2-9nqb-b991
MECHS (2019) MECHS research agenda. Technical report, Multi-hazard Engineering Collaboratory on Hybrid Simulation, June 2019
Gutierrez Soto M, Adeli H (2017) Recent advances in control algorithms for smart structures and machines. Expert Syst 34(2):12205
Cao L, Laflamme S (2018) Real-time variable multidelay controller for multihazard mitigation. J Eng Mech 144(2):04017174
Micheli L, Hong J, Laflamme S, Alipour A (2020) Surrogate models for high performance control systems in wind-excited tall buildings. Appl Soft Comput 90:106133
Downey A, Hong J, Dodson J, Carroll M, Scheppegrell J (2020) Millisecond model updating for structures experiencing unmodeled high-rate dynamic events. Mech Syst Signal Process 138:106551
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Palacio-Betancur, A., Gutierrez Soto, M. Recent Advances in Computational Methodologies for Real-Time Hybrid Simulation of Engineering Structures. Arch Computat Methods Eng 30, 1637–1662 (2023). https://doi.org/10.1007/s11831-022-09848-y
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DOI: https://doi.org/10.1007/s11831-022-09848-y