Abstract
This Chapter presents an overview of the TP/TS Fuzzy model transformation theories discussed in the book from mathematical, Fuzzy modelling and System design perspectives.
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References
Beltrami E (1873) Sulle funzioni bilineari. Giornale di Matematiche ad Uso degli Studenti Delle Universita 11(4):98–106
Jordan C (1874) Mémoire sur les formes bilinéaires. J de Mathématiques Pures et Appliquées 19(4):35–54
Jordan C (1874) Surla réduction des formes bilinéaires. Compt Rendus de l’Academie Sci 78(4):614–617
Stewart G (1993) On the early history of the singular value decomposition. SIAM Rev 35:551–556
Tucker L (1966) Some mathematical notes on three-mode factor analysis. Psychometrika 31(3):279–311
Kolda T, Bader B (2009) Tensor decompositions and applications. SIAM Rev 51(3):455–500
Kruskal J (1989) Rank, decomposition, and uniqueness for 3-way and n-way arrays. Multiway Data Anal 52:7–18
De Lathauwer L, De Moor B, Vandewalle J (2000) A multilinear singular value decomposition. SIAM J Matrix Anal 21(4):1253–1278
Yam Y (1997) Fuzzy approximation via grid point sampling and singular value decomposition. IEEE Trans Syst Man Cybernet 27(6):933–951
Yam Y, Baranyi P, Yang C (1999) Reduction of fuzzy rule base via singular value decomposition. IEEE Trans Fuzzy Syst 7(2):120–132
Baranyi P, Yam Y (1997) Singular value-based approximation with Takagi-Sugeno type fuzzy rule base. In: Proceedings of 6th international fuzzy systems conference, vol 1, pp 265–270
Baranyi P (2004) TP model transformation as a way to LMI-based controller design. IEEE Trans Ind Electron 51(2):387–400
Baranyi P (2014) The generalized TP model transformation for T-S fuzzy model manipulation and generalized stability verification. IEEE Trans Fuzzy Syst 22(4):934–948
Baranyi P, Szeidl L, Várlaki P, Yam Y (2006) Definition of the HOSVD based canonical form of polytopic dynamic models. In: Proceedings of the 2006 IEEE international conference on mechatronics, pp 660–665
Baranyi P, Szeidl L, Várlaki P (2006) Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In: Proceedings of the 10th international conference on intelligent engineering systems, pp 196–201
Szeidl L, Varlaki P (2009) HOSVD based canonical form for polytopic models of dynamic systems. J Adv Comput Intell Intell Inf 13(1):52–60
Baranyi P, Yam Y, Várlaki P (2017) Tensor product model transformation in polytpic model based control, ser. Automation and Control Engineering. CRC Press, Taylor & Frances Group, March 2017, ISBN 9781138077782 - CAT K34341
Várkonyi P, Tikk D, Korondi P, Baranyi P (2005) A new algorithm for RNO-INO type tensor product model representation. In Proceedings of the 9th IEEE international conference on intelligent engineering systems, pp 263–266 (2005)
Kuti J, Galambos P, Baranyi P (2017) Minimal volume simplex (MVS) polytopic model generation and manipulation methodology for TP model transformation. Asian J Cont 19(1):289–301
Baranyi P, TP-Model transformation based control design frameworks, ser. Control Engineering. Springer book, July 2016, ISBN 978-3-319-19605-3
Baranyi P, Petres Z, VPL KP Yam Y, (2006) Determination of different polytopic models of the prototypical aeroelastic wing section by TP model transformation. J Adv Comput Intell Intell Inf 10(4):486–493
Baranyi P (2022) How to vary the input space of a T-S fuzzy model: a TP model transformation-based approach. IEEE Trans on Fuzzy Syst 30(2):345–356
Baranyi P (2018) Extension of the multi-TP model transformation to functions with different numbers of variables. Complexity (2018)
Tikk D, Baranyi P, Patton R (2008) Approximation properties of TP model forms and its consequences to TPDC design framework. Asian J Cont 9(3):221–231
Tikk D, Baranyi P, Patton R (2002) Polytopic and TS models are nowhere dense in the approximation model space. In: IEEE International conference on systems, man and cybernetics, pp 150–153
Baranyi P, Yam Y, Varkonyi-Koczy A, Patton R (2003) SVD-based reduction to MISO TS models. IEEE Trans Ind Electron 50(1):232–242
Baranyi P, Korondi P, Patton R, Hashimoto H (2004) Trade-off between approximation accuracy and complexity for TS fuzzy models. Asian J Cont 6(1):21–33
Tikk D, Baranyi P, Patton R, Tar J (2004) Approximation capability of TP model forms. Australian J Intell Inf Proc Syst 8:155–163
Baranyi P, Lei K, Yam Y (2000) Complexity reduction of singleton based neuro-fuzzy algorithm. In: IEEE international conference on systems, man and cybernetics, pp 2503–2508
Petres Z, Baranyi P, Hashimoto H (2010) Approximation and complexity trade-off by TP model transformation in controller design: a case study of the TORA system. Asian J Cont 12(5):575–585
Baranyi P, Koczy L (1996) A general and specialised solid cutting method for fuzzy rule interpolation. Université Paul Sabatier, J BUSEFAL. URA-CNRS, pp 13–22
Varkonyi-Koczy A, Ruano A, Baranyi P, Takacs O (2001) Anytime information processing based on fuzzy and neural network models. In: 18th IEEE instrumentation and measurement technology conference, pp 1247–1252 (2001)
Baranyi P, Yam D, Tikk D, Patton R (2003) Trade-off between approximation accuracy and complexity: TS controller design via HOSVD based complexity minimization. In: Casillas J, Cordón O, Herrera F, Magdalena L (eds) Studies in fuzziness and soft computing, vol 128. Springer-Verlag, Interpretability Issues in Fuzzy Modeling, pp 249–277
Wang Y, Hua C, Park P (2023) A generalized reciprocally convex inequality on stability and stabilization for t-s fuzzy systems with time-varying delay. IEEE Trans Fuzzy Syst 31(3):722–733
Yu Y, Li Z, Liu X, Hirota K, Chen X, Fernando T, Iu HHC (2019) A nested tensor product model transformation. IEEE Trans Fuzzy Syst 27(1):1–15
Ren Y, Li Q, Ding D-W, Xie X (2019) Dissipativity-preserving model reduction for takagi-sugeno fuzzy systems. IEEE Trans Fuzzy Syst 27(4):659–670
Xie X, Yang F, Wan L, Xia J, Shi K (2023) Enhanced local stabilization of constrained n-TS fuzzy systems with lighter computational burden. IEEE Trans Fuzzy Syst 31(3):1064–1070
Zhang H, Liu J (2021) Event-triggered fuzzy flight control of a two-degree-of-freedom helicopter system. IEEE Trans Fuzzy Syst 29(10):2949–2962
Wang Y, Xu S, Ahn CK (2022) Finite-time composite antidisturbance control for t-s fuzzy nonhomogeneous markovian jump systems via asynchronous disturbance observer. IEEE Trans Fuzzy Syst 30(11):5051–5057
Chang X-H, Liu Q, Wang Y-M, Xiong J (2019) Fuzzy peak-to-peak filtering for networked nonlinear systems with multipath data packet dropouts. IEEE Trans Fuzzy Syst 27(3):436–446
Chen W, Fei Z, Zhao X, Basin MV (2022) Generic stability criteria for switched nonlinear systems with switching-signal-based lyapunov functions using takagi-sugeno fuzzy model. IEEE Trans Fuzzy Syst 30(10):4239–4248
Song J, Chang X-H (2023) Induced \(\cal{L} _\infty \) quantized sampled-data control for t-s fuzzy system with bandwidth constraint. IEEE Trans Fuzzy Syst 31(3):1031–1040
Ait Ladel A, Benzaouia A, Outbib R, Ouladsine M (2022) Integrated state/fault estimation and fault-tolerant control design for switched t-s fuzzy systems with sensor and actuator faults. IEEE Trans Fuzzy Syst 30(8):3211–3223
Kang Y, Yao L, Wang H (2022) Fault isolation and fault-tolerant control for takagi-sugeno fuzzy time-varying delay stochastic distribution systems. IEEE Trans Fuzzy Syst 30(4):1185–1195
Ji W, Qiu J, Karimi HR, Fu Y (2021) New results on fuzzy integral sliding mode control of nonlinear singularly perturbed systems. IEEE Trans Fuzzy Syst 29(7):2062–2067
Qiu Y, Hua C, Wang Y (2022) Nonfragile sampled-data control of t-s fuzzy systems with time delay. IEEE Trans Fuzzy Sys 30(8):3202–3210
Xie X, Wei C, Gu Z, Shi K (2022) Relaxed resilient fuzzy stabilization of discrete-time takagi-sugeno systems via a higher order time-variant balanced matrix method. IEEE Trans Fuzzy Syst 30(11):5044–5050
Xue Y, Zheng B-C, Yu X (2018) Robust sliding mode control for t-s fuzzy systems via quantized state feedback. IEEE Trans Fuzzy Syst 26(4):2261–2272
Sun H-Y, Han H-G, Sun J, Yang H-Y, Qiao J-F (2023) Security control of sampled-data t-s fuzzy systems subject to cyberattacks and successive packet losses. IEEE Trans Fuzzy Syst 31(4):1178–1188
Vu V-P, Wang W-J (2018) State/disturbance observer and controller synthesis for the t-s fuzzy system with an enlarged class of disturbances. IEEE Trans Fuzzy Syst 26(6):3645–3659
Ren Y, Ding D-W, Li Q, Xie X (2022) Static output feedback control for t-s fuzzy systems via a successive convex optimization algorithm. IEEE Trans Fuzzy Syst 30(10):4298–4309
Du H, Zhang N (2009) Fuzzy control for nonlinear uncertain electrohydraulic active suspensions with input constraint. IEEE Trans Fuzzy Syst 17(2):343–356
Campos VCS, Souza FO, Tôrres LAB, Palhares RM (2013) New stability conditions based on piecewise fuzzy lyapunov functions and tensor product transformations. IEEE Trans Fuzzy Syst 21(4):748–760
Liu X, Yu Y, Li Z, Iu HHC, Fernando T (2017) An efficient algorithm for optimally reshaping the TP model transformation. IEEE Trans Circ Syst II: Express Briefs 64(10):1187–1191
Zhou Y, Liu J, Li Y, Gan C, Li H, Liu Y (2019) A gain scheduling wide-area damping controller for the efficient integration of photovoltaic plant. IEEE Trans Power Syst 34(3):1703–1715
Hajiloo A, Keshmiri M, Xie W-F, Wang T-T (2016) Robust online model predictive control for a constrained image-based visual servoing. IEEE Trans Ind Electron 63(4):2242–2250
Aslam MS, Tiwari P, Pandey HM, Band SS (2022) Observer-based control for a new stochastic maximum power point tracking for photovoltaic systems with networked control system. IEEE Trans Fuzzy Syst pp 1–14
Wang H, Kang Y, Yao L, Wang H, Gao Z (2021) Fault diagnosis and fault tolerant control for t-s fuzzy stochastic distribution systems subject to sensor and actuator faults. IEEE Trans Fuzzy Syst 29(11):3561–3569
Sabbghian-Bidgoli F, Farrokhi M (2022) Polynomial fuzzy observer-based integrated fault estimation and fault-tolerant control with uncertainty and disturbance. IEEE Trans Fuzzy Syst 30(3):741–754
Hu J, Li X, Xu Z, Pan H (2022) Co-design of quantized dynamic output feedback MPC for Takagi-Sugeno model. IEEE Trans Ind Inf 1–11
Hu J, Lv X, Pan H, Zhang M (2022) Handling the constraints in min-max MPC. IEEE Trans Automat Sci Eng 1–9
Chen B-S, Tsai Y-Y, Lee M-Y (2021) Robust decentralized formation tracking control for stochastic large-scale biped robot team system under external disturbance and communication requirements. IEEE Trans Cont Netw Syst 8(2):654–666
Tiko S, Mesquine F (2023) Constrained control for a class of TS fuzzy systems. IEEE Trans Fuzzy Syst 31(1):348–353
Ijaz S, Yan L, Hamayun MT, Baig WM, Shi C (2018) An adaptive LPV integral sliding mode FTC of dissimilar redundant actuation system for civil aircraft. IEEE Access 6:65960–65973
Zaqueros-Martinez J, Rodriguez-Gomez G, Tlelo-Cuautle E, Orihuela-Espina F (2023) Fuzzy synchronization of chaotic systems with hidden attractors. Entropy 25(3):495–65973
Zhang J, Xu X, Yang L, Yang X (2019) LPV model-based multivariable indirect adaptive control of damaged asymmetric aircraft. Aerospace Eng 32(6):1–16
Ma F, Li J, Wu L (2022) Yuan D (2022) Tensor product based polytopic lpv system design of a 6-dof multi-strut platform. Int J Cont Automat Syst 20:137–146
Huang Y, Sun C, Qian C, Wang L (2015) Linear parameter varying switching attitude control for a near space hypersonic vehicle with parametric uncertainties. Int J Syst Sci 46(16):3019–3031. [Online]. Available: https://doi.org/10.1080/00207721.2014.886743
Nie L, Cai B, Zhu Y, Yang J, Zhang L (2021) Switched linear parameter-varying tracking control for quadrotors with large attitude angles and time-varying inertia. Opt Cont Appl Methods 42:1320–1336
Chang F, Shi B, Li X, Zhao G, Huan S (2021) Local extrema refinement-based tensor product model transformation controller with problem independent sampling methods. Asian J Cont 23(3):1352–1366
Hedrea E, Precup R, Petriu E, Bojan-Dragos C, Hedrea C (2021) Tensor product-based model transformation approach to cart position modeling and control in pendulum-cart systems. Asian J Cont 23(3):1238–1248
Kuczmann M (2020) Study of tensor product model alternatives. Asian J Cont 23(3):1249–1261
Varlaki P, Palkovics L, Rövid A (2020) On modeling and identification of empirical partially intelligible white noise processes. Asian J Cont 23(3):1262–1279
Németh Z, Kuczmann M (2020) Tensor product transformation-based modeling of an induction machine. Asian J Cont 23(3):1280–1289
Takarics B, Vanek B (2020) Robust control design for the FLEXOP demonstrator aircraft via tensor product models. Asian J Cont 23(3):1290–1300
Csapo A (2020) Cyclical inverse interpolation: an approach for the inverse interpolation of black-box models using tensor product representations. Asian J Cont 23(3):1301–1312
Hedrea E, Precup R, Roman R, Petriu E (2020) Tensor product-based model transformation approach to tower crane systems modeling. Asian J Cont 23(3):1313–1323
Ile S, Matusko J, Lazar M (2020) Piece-wise ellipsoidal set-based model predictive control of linear parameter varying systems with application to a tower crane. Asian J Cont 23(3):1324–1339
Boonyaprapasorn A, Kuntanapreeda S, Ngiamsunthorn P, Pengwang E, Sangpet T (2020) Tensor product model transformation-based control for fractional-order biological pest control systems. Asian J Cont 23(3):1340–1351
Kuntanapreeda S (2014) Tensor product model transformation based control and synchronization of a class of fractional-order chaotic systems. Asian J Cont 17(2):371–380
Precup E, Petriu E, Rădac M, Preitl S, Fedorovici L, Dragoş C (2014) Cascade control system-based cost effective combination of tensor product model transformation and fuzzy control. Asian J Cont 17(2):381–391
Campos V, Tôrres L, Palhares R (2014) Revisiting the TP model transformation: interpolation and rule reduction. Asian J Cont 17(2):392–401
Wang T, Xie W, Liu G, Zhao Y (2014) Quasi-min-max model predictive control for image-based visual servoing with tensor product model transformation. Asian J Cont 17(2):402–416
Chumalee S, Whidborne J (2014) Gain-scheduled \(h_\infty \) control for tensor product type polytopic plants. Asian J Cont 17(2):417–431
Kuti J, Galambos P, Miklós A (2014) Output feedback control of a dual-excenter vibration actuator via qLPV model and tp model transformation. Asian J Cont 17(2):432–442
Matuško J, Ileš S, Kolonić F, Lešić V (2014) Control of 3d tower crane based on tensor product model transformation with neural friction compensation. Asian J Cont 17(2):443–458
Rövid A, Szeidl L, Várlaki P (2014) Integral operators in relation to the HOSVD-based canonical form. Asian J Cont 17(2):459–466
Pan J, Lu L (2014) TP model transformation via sequentially truncated higher-order singular value decomposition. Asian J Cont 17(2):467–475
Hajiloo A, Xie W (2014) The stochastic robust model predictive control of shimmy vibration in aircraft landing gears. Asian J Cont 17(2):476–485
Qin W, Liu J, Liu G, He B, Wang L (2014) Robust parameter dependent receding horizon \(h_\infty \) control of flexible air-breathing hypersonic vehicles with input constraints. Asian J Cont 17(2):508–522
Huang Y, Sun C, Qian C (2014) Linear parameter varying switching attitude tracking control for a near space hypersonic vehicle via multiple lyapunov functions. Asian J Cont 17(2):523–534
Boonyaprapasorn A, Kuntanapreeda S, Sangpet T, Ngiamsunthorn P, Pengwang E (2020) Biological pest control based on tensor product transformation method. Acta Polytechnica Hungarica 17(6):25–40
Campos V, Braga M, Frezzatto L (2020) Analytical upper bound for the error on the discretization of uncertain linear systems by using the tensor product model transformation. Acta Polytechnica Hungarica 17(6):61–74
Pereira A, Vianna L, Keles N, Campos V (2018) Tensor product model transformation simplification of Takagi-Sugeno control and estimation laws - an application to a thermoelectric controlled chamber. Acta Polytechnica Hungarica 15(3):13–29
Campos VL, Braga VCS, M (2018) A tensor product model transformation approach to the discretization of uncertain linear systems. Acta Polytechnica Hungarica 15(3):31–43
Kan Y, He Z, Zhao J (2018) Tensor product model-based control design with relaxed stability conditions for perching maneuvers. Acta Polytech Hungar 15(3):45–61
Gong H, Sun H, Wang B, Yu Y, Li Z, Liao X, Liu X (2018) Tensor product model-based control for space-craft with fuel slosh dynamics. Acta Polytech Hungar 15(3):63–80
Du H, Yan J, Fan F (2018) A state and input constrained control method for air-breathing hypersonic vehicles. Acta Polytech Hungar 15(3):81–99
Kovács L, Eigner G (2018) Tensor product model transformation-based parallel distributed control of tumor growth. Acta Polytech Hungar 15(3):101–123
Hedrea E, Precup R, Bojan-Dragos C (2019) Results on tensor product-based model transformation of magnetic levitation systems. Acta Polytech Hungar 16(9):93–111
Korondi P (2006) Tensor product model transformation-based sliding surface design. Acta Polytechnica Hungarica 3(4):23–35
FKolonic F, Poljugan A, Petrović I (2006) Tensor product model transformation-based controller design for gantry crane control system–an application approach. Acta Polytech Hungar 3:95–112
Zhao G, Li H, Song Z (2016) Tensor product model transformation based decoupled terminal sliding mode control. Int J Syst Sci 47(8):1791–1803
Zhao G, Sun K, Li H (2013) Tensor product model transformation based adaptive integral-sliding mode controller: equivalent control method. The Sci World J
Ma F, Li J, Wu L (2022) Tensor product model HOSVD based polytopic LPV controller for suspension anti-vibration system. J Vib Cont 29(1–2):5–20
Xing H, Wei J, Caisheng J (2021) Robust controller designing for an air-breathing hypersonic vehicle with an HOSVD-based LPV model. Int J Aeros Eng pp 1–12
Korondi P, Budai C, Hashimoto H, Harashima F (2015) Tensor product model transformation based sliding mode design for LPV systems. Springer International Publishing, pp 277–298
Carlos A, Antonio S (2007) Relaxed LMI conditions for closed-loop fuzzy systems with tensor-product structure. Eng Appl Artif Intell 20(8):1036–1046
Precup R, Dragos C, Preitl S, Radac M, Petriu E (2012) Novel tensor product models for automatic transmission system control. IEEE Syst J 6(3):488–498
Liu X, Xin X, Li Z, Chen Z (2017) Near optimal control based on the tensor-product technique. IEEE Trans Circ Syst II: Express Briefs 64(5):560–564
Kuti J, GP, Baranyi P, (2017) Control analysis and synthesis through polytopic tensor product model: a general concept. IFAC-PapersOnLine 50(1):6558–6563
Baranyi P (2015) TP model transformation as a manipulation tool for qLPV analysis and design. Asian J Cont 17(2):497–507
Galambos P, Baranyi P (2014) TP\(^\tau \) model transformation: a systematic modelling framework to handle internal time delays in control systems. Asian J Cont 17(2):486–496
Pereire AMF, Vianna LMS, Keles NA, Campos VCS (2018) Tensor product model transformation simplification of Takagi-Sugeno control and estimation laws–an application to a thermoelectric controlled chamber. Acta Polytech Hungar 15(3):13–29
Takarics B, Baranyi P, Varlaki P (2015) TP model-based robust stabilization of the 3 degrees-of-freedom aeroelastic wing section. Acta Polytech Hungar 12(1):209–228
Takarics B, Baranyi P (2015) Friction compensation in TP model form–aeroelastic wing as an example system. Acta Polytech Hungar 12(4):127–145
Galambos P, Baranyi P, Arz G (2014) Tensor product model transformation-based control design for force reflecting tele-grasping under time delay. Proceedings of the Institution of Mechanical Engineers, Part C: J Mech Eng Sci 228(4):765–777
Takarics B, Baranyi P (2013) Tensor-product-model-based control of a three degrees-of-freedom aeroelastic model. J Guidance, Cont Dynam 36(5):1527–1533
Galambos P, Baranyi P (2013) Representing the model of impedance controlled robot interaction with feedback delay in polytopic lpv form: Tp model transformation based approach. Acta Poltech Hungar 10(1):139–157
Takarics B, Baranyi P (2013) Robust control for the 3 dof aeroelastic wing via TP model representation. Acta Polytech Hungar 6(5):77–97
Galambos P, Baranyi P, KP (2010) Extended TP model transformation for polytopic representation of impedance model with feedback delay. WSEAS Trans Syst Cont 5(9):701–710
Grof P, Baranyi P, KP, (2010) Convex hull manipulation based control performance optimisation. WSEAS Trans Syst Cont 5(8):691–700
Baranyi P, Takarics B (2014) Aeroelastic wing section control via relaxed tensor product model transformation framework. J Guid Cont Dynam 37(5):1671–1678
Baranyi P (2006) Tensor product model based control of two dimensional aeroelastic system. J Guid Cont Dynam 29(2):391–400
Baranyi P (2006) Output feedback control of 2-d aeroelastic system. J Guid Cont Dynam 29(3):762–767
Nagy S, Petres Z, Baranyi P, Hashimoto H (2009) Computational relaxed TP model transformation: restricting the computation to subspaces of the dynamic model. Asian J Cont 11(5):461–475
Szabo Z, Gaspar P, Nagy S, Baranyi P (2008) TP model transformation for control-oriented qLPV modeling. Australian J Intell Inf Proc Syst 10(2):36–53
Matszangosz K, Baranyi P, Nagy S (2008) Nonlinear control of a parallel type double inverted pendulum system via TP decomposition and LMI control design. Austral J Intell Inf Proc Syst 10(1):28–49
Baranyi P, Petres Z, Varlkai P, Michelberger P (2006) Observer and control law design to the TORA system via TPDC framework. WSEAS Trans Syst Cont 5(1):156–163
Baranyi P, Yam Y (2006) Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity. IEEE Trans Ind Electron 53(3):895–904
Baranyi P, Varkonyi-Koczy A (2005) TP transformation based dynamic system modeling for nonlinear control. IEEE Trans Inst Measur 54(6):2191–2203
Baranyi P, Varkonyi-Koczy A, Yam Y, Patton R (2005) Adaptation of TS fuzzy models without complexity expansion: HOSVD-based approach. IEEE Trans Instr Measur 54(1):52–60
Baranyi P, Korondi H, Hashimotot P (2005) Global asymptotic stabilisation of the prototypical aeroelastic wing section via TP model transformation. Asian J Cont 7(2):99–111
Baranyi P, Petres ZK, Yam Y, Hashomoto H (2007) Complexity relaxation of the tensor product model transformation for higher dimensional problems. Asian J Cont 9(2):195–200
Petres Z, Baranyi P, Korondi P, Hashimoto H (2007) Trajectory tracking by TP model transformation: case study of a benchmark problem. IEEE Trans Ind Electron 54(3):1654–1663
Baranyi P, Tikk D, Yam Y, Patton R (2003) From differential equations to PDC controller design via numerical transformation. Comput Ind 51:281–297
Baranyi P, Varkonyi-Koczy A (2002) Adaptation of SVD-based fuzzy reduction via minimal expansion. IEEE Trans Instr Measur 51(2):222–226
Baranyi P, Yam Y, Varkonyi-Koczy A, Patton R, Michelberger P, Sugiyama M (2002) SVD-based complexity reduction to TS fuzzy models. IEEE Trans Ind Electron 49(2):433–443
Baranyi P, Yam Y, Yang C, Varlaki P, Michelberger P (2001) Inference algorithm independent SVD fuzzy rule base complexity reduction. Int J Adv Comput Intell 5(1):22–30
Baranyi P, Yam Y, Varlaki P, Michelberger P (2000) Singular value decomposition of linguistically defined relations. Int J Fuzzy Syst 2(2):108–116
Lei K, Baranyi P, Yam Y (2000) Complexity minimalisation of non-singleton based fuzzy-neural network. Int J Adv Comput Intell 4(4):1–7
Baranyi P, Korondi P, Tanaka K (2009) Parallel distributed compensation based stabilization of a 3-DOF RC helicopter: a tensor product transformation based approach. J Adv Comput Intell Intell Inf 13(1):25–34
Baranyi P (2020) Extracting LPV and qLPV structures from state-space functions: a TP model transformation based framework. IEEE Trans Fuzzy Syst 28(3):499–509
Szollosi A, Baranyi P (2015) Influence of the tensor product model representation of qLPV models on the feasibility of linear matrix inequality. Asian J Cont 18(4):1328–1342
Szollosi A, Baranyi P (2016) Improved control performance of the 3-dof aeroelastic wing section: a TP model based 2d parametric control performance optimization. Asian J Cont 19(2):450–466
Szollosi A, Baranyi P (2017) Influence of the tensor product model representation of qLPV models on the feasibility of linear matrix inequality based stability analysis. Asian J Cont 10(1):531–547
Tanaka K, Wang H (2001) Fuzzy control systems design and analysis: a linear matrix inequality approach. John Wiley and Sons Inc, U.S.A
Scherer C, Weiland S (2000) Linear matrix inequalities in control. Lecture Notes, Dutch Institute for Systems and Control, Delft, The Netherlands. http://www.cs.ele.tue.nl/sweiland/lmi.htm
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Baranyi, P. (2023). Key Messages of the Book. In: Dual-Control-Design. Topics in Intelligent Engineering and Informatics, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-031-44575-0_1
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