Abstract
The scope of this book generally falls in event-based sampled-data systems and active disturbance rejection control (ADRC). In this introduction chapter, the background materials related to these topics will be discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Note that due to the existence of communication constraints, the problem of analyzing average sampling or communication rate is also necessary.
- 2.
The formulations of the high-gain observer and the LESO have the same theoretical meaning.
References
Abdelrahim, M., Postoyan, R., Daafouz, J.: Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics. Automatica 52, 15–22 (2015)
Akyildiz, I., Su, W., Sankarasubramaniam, Y., Cayirci, E.: Wireless sensor networks: a survey. Comput. Netw. 38, 393–422 (2002)
Alamo, T., Bravo, J., Camacho, E.: Guaranteed state estimation by zonotopes. Automatica 41(6), 1035–1043 (2005)
Al-Areqi, S., Gorges, D., Liu, S.: Event-based control and scheduling codesign: Stochastic and robust approaches. IEEE Trans. Autom. Control 60(99), 1291–1303 (2014)
Anta, A., Tabuada, P.: To sample or not to sample: self-triggered control for nonlinear systems. IEEE Trans. Autom. Control 55(9), 2030–2042 (2010)
Antunes, D., Heemels, W.: Rollout event-triggered control: beyond periodic control performance. IEEE Trans. Autom. Control 59(12), 3296–3311 (2014)
Arzén, K.E.: A simple event-based pid controller. In: Proceedings of the IFAC World Congress (1999)
Åström, K., Bernhardsson, B.: Comparison of periodic and event based sampling for first-order stochastic systems. In: Preprints 14th World Congress of IFAC (1999)
Åström, K., Bernhardsson, B.: Comparison of Riemann and Lebesgue sampling for first order stochastic systems. In: Proceedings of the 41st IEEE Conference on Decision and Control, vol. 2, pp. 2011–2016 (2002)
Åström, K.J., Wittenmark, B.: Computer-controlled systems: theory and design. Prentice-Hall, Upper Saddle River (1984)
Borgers, D., Heemels, W.: Event-separation properties of event-triggered control systems. IEEE Trans. Autom. Control 59(10), 2644–2656 (2014)
Cassandras, C.G.: The event-driven paradigm for control, communication and optimization. J. Control Decis. 1(1), 3–17 (2014)
Castaneda, L., Luviano-Juarez, A., Chairez, I.: Robust trajectory tracking of a delta robot through adaptive active disturbance rejection control. IEEE Trans. Control Syst. Technol. 23(4), 1387–1398 (2015)
Chen, T., Francis, B.: Optimal Sampled-Data Control Systems. Springer, Berlin (1995)
Chen, Z., Zheng, Q., Gao, Z.: Active disturbance rejection control of chemical processes. In: 2007 IEEE International Conference on Control Applications, pp. 855–861 (2007)
Chisci, L., Garulli, A., Zappa, G.: Recursive state bounding by parallelotopes. Automatica 32(7), 1049–1055 (1996)
Dong, L., Zheng, Q., Gao, Z.: A novel oscillation controller for vibrational mems gyroscopes. In: 2007 American Control Conference, pp. 3204–3209 (2007)
Dong, L., Avanesian, D.: Drive-mode control for vibrational mems gyroscopes. IEEE Trans. Ind. Electron. 56(4), 956–963 (2009)
Donkers, M., Heemels, W.: Output-based event-triggered control with guaranteed \(\cal{L}_{\infty }\)-gain and improved and decentralized event-triggering. IEEE Trans. Autom. Control 57(6), 1362–1376 (2012)
Erenturk, K.: Fractional-order \(\text{ PI}^{\lambda }\text{ D}^{\mu }\) and active disturbance rejection control of nonlinear two-mass drive system. IEEE Trans. Ind. Electron. 60(9), 3806–3813 (2013)
Forni, F., Galeani, S., Nesic, D., Zaccarian, L.: Event-triggered transmission for linear control over communication channels. Automatica 50(2), 490–498 (2014)
Francis, B., Wonham, W.: The internal model principle of control theory. Automatica 12(5), 457–465 (1976)
Fu, M.: Lack of separation principle for quantized linear quadratic gaussian control. IEEE Trans. Autom. Control 57(9), 2385–2390 (2012)
Fu, M., Xie, L.: The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)
Gao, Z., Hu, S., Jiang, F.: A novel motion control design approach based on active disturbance rejection. In: Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), vol. 5, pp. 4877–4882 (2001)
Gao, Z.: Scaling and bandwidth-parameterization based controller tuning. Am. Control Conf. 6, 4989–4996 (2003)
Girard, A.: Dynamic triggering mechanisms for event-triggered control. IEEE Trans. Autom. Control 60(99), 1992–1997 (2014)
Goebel, R., Sanfelice, R., Teel, A.: Hybrid dynamical systems. IEEE Control Syst. Mag. 29(2), 28–93 (2009)
Goforth, F.J.: On motion control design and tuning techniques. In: Proceedings of the 2004 American Control Conference, vol. 1, pp. 716–721 (2004)
Goforth, F., Gao, Z.: An active disturbance rejection control solution for hysteresis compensation. Am. Control Conf. 2008, 2202–2208 (2008)
Grüne, L., Hirche, S., Junge, O., Koltai, P., Lehmann, D., Lunze, J., Molin, A., Sailer, R., Sigurani, M., Stöcker, C., Wirth, F.: Event-based control. In: J. Lunze (ed.) Networked Control Systems, Control Theory of Digitally Networked Dynamic Systems, pp. 169–261. Springer, Berlin (2014)
Guo, B.Z., Jin, F.F.: Output feedback stabilization for one-dimensional wave equation subject to boundary disturbance. IEEE Trans. Autom. Control 60(99), 824–830 (2014)
Guo, B., Zhao, Z.: On convergence of nonlinear active disturbance rejection for SISO systems. In: 24th Chinese Control and Decision Conference (CCDC), 2012, pp. 3507–3512 (2012)
Guo, B., Jin, F.: Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input. IEEE Trans. Autom. Control 58(5), 1269–1274 (2013)
Guo, B.Z., Jin, F.F.: The active disturbance rejection and sliding mode control approach to the stabilization of the Euler–Bernoulli beam equation with boundary input disturbance. Automatica 49(9), 2911–2918 (2013)
Guo, B., Jin, F.: Output feedback stabilization for one-dimensional wave equation subject to boundary disturbance. IEEE Trans. Autom. Control 60(3), 824–830 (2015)
Guo, B., Zhao, Z.: On convergence of tracking differentiator. Int. J. Control 84(4), 693–701 (2011)
Guo, B.Z., Zhao, Z.L.: On the convergence of an extended state observer for nonlinear systems with uncertainty. Syst. Control Lett. 60(6), 420–430 (2011)
Guo, B.Z., Zhao, Z.L.: On convergence of non-linear extended state observer for multi-input multi-output systems with uncertainty. IET Control Theory Appl. 6(15), 2375–2386 (2012)
Guo, B., Zhao, Z.: On convergence of nonlinear active disturbance rejection for MIMO system. SIAM J. Control Optim. 51(2), 1727–1757 (2013)
Guo, B.Z., Zhao, Z.L.: Weak convergence of nonlinear high-gain tracking differentiator. IEEE Trans. Autom. Control 58(4), 1074–1080 (2013)
Guo, B.Z., Zhao, Z.: Active disturbance rejection control: theoretical perspectives. Commun. Inf. Syst. 15, 361–421 (2015). https://doi.org/10.4310/CIS.2015.v15.n3.a3
Han, J.: Active Disturbance Rejection Control Technique-the Technique for Estimating and Compensating the Uncertainties. National Defense Industry Press, Arlington (2008)
Han, J.: A class of extended state observers for uncertain systems. Control Decis. 10, 85–88 (1995)
Han, J.: Extended state observer for a class of uncertain plants. Control Decis. 10(1), 85–88 (1995)
Han, J.: Auto disturbances rejection controller and its applications. Control Decis. 13(1), 19–23 (1998)
Han, J.: From PID to active disturbance rejection control. IEEE Trans. Ind. Electron. 56(3), 900–906 (2009)
Han, J., Wang, W.: Nonlinear tracking-differentiator. Syst. Sci. Math. 14(2), 177–183 (1994)
Heemels, W., Johansson, K., Tabuada, P.: An introduction to event-triggered and self-triggered control. In: 2012 IEEE 51st Annual Conference on Decision and Control (CDC), pp. 3270–3285 (2012)
Heemels, W., Donkers, M.: Model-based periodic event-triggered control for linear systems. Automatica 49(3), 698–711 (2013)
Heemels, W., Donkers, M., Teel, A.: Periodic event-triggered control for linear systems. IEEE Trans. Autom. Control 58(4), 847–861 (2013)
Henningsson, T., Johannesson, E., Cervin, A.: Sporadic event-based control of first-order linear stochastic systems. Automatica 44(11), 2890–2895 (2008)
Hetel, L., Fridman, E.: Robust sampled-data control of switched affine systems. IEEE Trans. Autom. Control 58(11), 2922–2928 (2013)
Ho, Y.C., Cao, X.R.: Perturbation Analysis of Discrete-Event Dynamic Systems. Kluwer Academic Publisher, Amsterdam (1991)
Huang, Y., Xu, K., Han, J., Lam, J.: Flight control design using extended state observer and non-smooth feedback. In: Proceedings of the 40th IEEE Conference on Decision and Control, 2001, vol. 1, pp. 223–228 (2001)
Huang, Y., Xue, W.: Active disturbance rejection control: methodology and theoretical analysis. ISA Trans. 53(4), 963–976 (2014)
Huang, Y., Wang, J., Shi, D., Shi, L.: Toward event-triggered extended state observer. IEEE Trans. Autom. Control 63(6), 1842–1849 (2018)
Huang, Y., Wang, J., Shi, D., Wu, J., Shi, L.: Event-triggered sampled-data control: an active disturbance rejection approach. IEEE/ASME Trans. Mechatron. 24(5), 2052–2063 (2019)
Khalil, H.K.: High-gain observers in nonlinear feedback control. In: Nijmeijer, H., Fossen, T. (eds.) New Directions in nonlinear observer design. Lecture Notes in Control and Information Sciences, vol. 244, pp. 249–268. Springer, London (1999)
Kosut, R., Lau, M., Boyd, S.: Set-membership identification of systems with parametric and nonparametric uncertainty. IEEE Trans. Autom. Control 37(7), 929–941 (1992)
Lemmon, M.: Event-triggered feedback in control, estimation, and optimization. In: Bemporad, A., Heemels, M., Johansson, M. (eds.) Networked Control Systems. Lecture Notes in Control and Information Sciences, vol. 406, pp. 293–358. Springer, London (2010)
Li, H., Shi, Y.: Event-triggered robust model predictive control of continuous-time nonlinear systems. Automatica 50(5), 1507–1513 (2014)
Liberzon, D.: Switching in Systems and Control. Birkhauser, Basel(2003)
Liberzon, D., Nesic, D.: Input-to-state stabilization of linear systems with quantized state measurements. IEEE Trans. Autom. Control 52(5), 767–781 (2007)
Lili, D., Qing, Z., Avanesov, D.: The design and implementation of driving mode control for vibrational gyroscopes. In: 2008 American Control Conference, pp. 4419–4424 (2008)
Liu, T., Jiang, Z.P.: A small-gain approach to robust event-triggered control of nonlinear systems. IEEE Trans. Autom. Control 60(99), 2072–2085 (2015)
Liu, T., Jiang, Z.P.: Event-based control of nonlinear systems with partial state and output feedback. Automatica 53, 10–22 (2015)
Liu, Q., Wang, Z., He, X., Zhou, D.: A survey of event-based strategies on control and estimation. Syst. Sci. Control Eng. 2, 90–97 (2014)
Lunze, J., Lehmann, D.: A state-feedback approach to event-based control. Automatica 46(1), 211–215 (2010)
Maeder, U., Borrelli, F., Morari, M.: Linear offset-free model predictive control. Automatica 45(10), 2214–2222 (2009)
Marchand, N., Durand, S., Castellanos, J.: A general formula for event-based stabilization of nonlinear systems. IEEE Trans. Autom. Control 58(5), 1332–1337 (2013)
Mazo, M., Cao, M.: Asynchronous decentralized event-triggered control. Automatica 50(12), 3197–3203 (2014)
Mazo, M., Tabuada, P.: Decentralized event-triggered control over wireless sensor/actuator networks. IEEE Trans. Autom. Control 56(10), 2456–2461 (2011)
Meng, X., Chen, T.: Optimal sampling and performance comparison of periodic and event based impulse control. IEEE Trans. Autom. Control 57(12), 3252–3259 (2012)
Molin, A., Hirche, S.: On the optimality of certainty equivalence for event-triggered control systems. IEEE Trans. Autom. Control 58(2), 470–474 (2013)
Morari, M., Maeder, U.: Nonlinear offset-free model predictive control. Automatica 48(9), 2059–2067 (2012)
Mustafa, G., Chen, T.: \(h_\infty \) filtering for nonuniformly sampled systems: a Markovian jump systems approach. Syst. Control Lett. 60(10), 871–876 (2011)
Pannocchia, G., Rawlings, J.B.: Disturbance models for offset-free model-predictive control. AIChE J. 49(2), 426–437 (2003)
Peng, C., Yang, T.C.: Event-triggered communication and control co-design for networked control systems. Automatica 49(5), 1326–1332 (2013)
Postoyan, R., Bragagnolo, M.C., Galbrun, E., Daafouz, J., Nesic, D., Castelan, E.B.: Event-triggered tracking control of unicycle mobile robots. Automatica 52, 302–308 (2015)
Premaratne, U., Halgamuge, S., Mareels, I.: Event triggered adaptive differential modulation: a new method for traffic reduction in networked control systems. IEEE Trans. Autom. Control 58(7), 1696–1706 (2013)
Quevedo, D., Gupta, V., Ma, W.J., Yuksel, S.: Stochastic stability of event-triggered anytime control. IEEE Trans. Autom. Control 59(12), 3373–3379 (2014)
Ramirez-Neria, M., Garcia-Antonio, J., Sira-Ramirez, H., Velasco-Villa, M., Castro-Linares, R.: On the linear active rejection control of thomson’s jumping ring. Am. Control Conf. (ACC) 2013, 6643–6648 (2013)
Shi, D., Shi, L., Chen, T.: Event-based State Estimation: A Stochastic Perspective. Springer, Berlin (2016). https://doi.org/10.1007/978-3-319-26606-0
Shi, D., Xue, J., Zhao, L., Wang, J., Huang, Y.: Event-triggered active disturbance rejection control of dc torque motors. IEEE/ASME Trans. Mechatron. 22(5), 2277–2287 (2017)
Sira Ramirez, H., Linares Flores, J., Garcia Rodriguez, C., Contreras Ordaz, M.: On the control of the permanent magnet synchronous motor: an active disturbance rejection control approach. IEEE Trans. Control Syst. Technol. 22(5), 2056–2063 (2014)
Sontag, E.D.: Mathematical Control Theory Deterministic Finite Dimensional Systems. Springer, Berlin (1998)
Sun, Z., Ge, S.: Stability Theory of Switched Dynamical Systems. Springer, Berlin (2011)
Sun, B., Gao, Z.: A dsp-based active disturbance rejection control design for a 1-kw h-bridge dc-dc power converter. IEEE Trans. Ind. Electron. 52(5), 1271–1277 (2005)
Sun, B., Gao, Z.: A DSP-based active disturbance rejection control design for a 1-kw H-bridge DC-DC power converter. IEEE Trans. Ind. Electron. 52(5), 1271–1277 (2005)
Sun, J., Yang, J., Li, S., Zheng, W.X.: Sampled-data-based event-triggered active disturbance rejection control for disturbed systems in networked environment. IEEE Trans. Cybern. 49(2), 556–566 (2019)
Tabuada, P.: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Autom. Control 52(9), 1680–1685 (2007)
Tao, J., Sun, Q., Sun, H., Chen, Z., Dehmer, M., Sun, M.: Dynamic modeling and trajectory tracking control of parafoil system in wind environments. IEEE/ASME Trans. Mechatron. 22(6), 2736–2745 (2017). https://doi.org/10.1109/TMECH.2017.2766882
Wang, H., Huang, H.: Properties and applications of ESO. Control Decis. 28(7), 1078 (2013)
Wang, X., Lemmon, M.: On event design in event-triggered feedback systems. Automatica 47(10), 2319–2322 (2011)
Wang, B., Meng, X., Chen, T.: Event based pulse-modulated control of linear stochastic systems. IEEE Trans. Autom. Control 59(8), 2144–2150 (2014)
Wang, J., Tan, C., Wu, H.: Online shape modification of molecular weight distribution based on the principle of active disturbance rejection controller. IEEE Access 7, 53163–53171 (2019)
Xue, W., Huang, Y., Yang, X.: What kinds of system can be used as tracking-differentiator. In: 29th Chinese Control Conference (CCC), 2010, pp. 6113–6120 (2010)
Xue, W., Huang, Y.: Comparison of the DOB based control, a special kind of PID control and ADRC. In: American Control Conference (ACC), pp. 4373–4379 (2011)
Xue, W., Huang, Y.: On performance analysis of ADRC for a class of MIMO lower-triangular nonlinear uncertain systems. ISA Trans. 53(4), 955–962 (2014)
Yang, X., Huang, Y.: Capabilities of extended state observer for estimating uncertainties. In: American Control Conference, pp. 3700–3705 (2009)
Yang, J., Cui, H., Li, S., Zolotas, A.: Optimized active disturbance rejection control for dc-dc buck converters with uncertainties using a reduced-order gpi observer. IEEE Trans. Circuits Syst. I: Regul. Pap. 65(2), 832–841 (2018)
Yuksel, S.: Jointly optimal lqg quantization and control policies for multi-dimensional systems. IEEE Trans. Autom. Control 59(6), 1612–1617 (2014)
Zhang, J., Zheng, W.X., Xu, H., Xia, Y.: Observer-based event-driven control for discrete-time systems with disturbance rejection. IEEE Transactions on Cybernetics, pp. 1–11 (2019)
Zhao, C., Huang, Y.: ADRC based input disturbance rejection for minimum-phase plants with unknown orders and/or uncertain relative degrees. J. Syst. Sci. Complex 25, 625–640 (2012)
Zheng, Q., Chen, Z., Gao, Z.: A practical approach to disturbance decoupling control. Control Eng. Pract. 17(9), 1016–1025 (2009). https://doi.org/10.1016/j.conengprac.2009.03.005, http://www.sciencedirect.com/science/article/pii/S0967066109000550
Zheng, Q., Gao, L., Gao, Z.: On stability analysis of active disturbance rejection control for nonlinear time-varying plants with unknown dynamics. In: 46th IEEE Conference on Decision and Control, pp. 3501–3506 (2007)
Zheng, Q., Gao, Z.: Disturbance rejection in mems gyroscope: problems and solutions. In: Proceedings of the 30th Chinese Control Conference, pp. 6334–6339 (2011)
Zheng, Q., Gao, Z.: Motion control design optimization: problem and solutions. Int. J. Intell. Control Syst. 10 (2005)
Zheng, Q., Gao, Z.: On practical applications of active disturbance rejection control. In: 29th Chinese Control Conference (CCC), vol. 17, pp. 6095–6100 (2010)
Zheng, Q., Gao, Z.: On practical applications of active disturbance rejection control. In: Proceedings of the 29th Chinese Control Conference, pp. 6095–6100 (2010)
Zheng, Q., Dong, L., Lee, D.H., Gao, Z.: Active disturbance rejection control for MEMS gyroscopes. IEEE Trans. Control Syst. Technol. 17(6), 1432–1438 (2009)
Zhou, K., Doyle, J.C., Glover, K.: Robust and Optimal Control. Prentice Hall, Upper Saddle River (1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2021 Science Press
About this chapter
Cite this chapter
Shi, D., Huang, Y., Wang, J., Shi, L. (2021). Introduction. In: Event-Triggered Active Disturbance Rejection Control. Studies in Systems, Decision and Control, vol 356. Springer, Singapore. https://doi.org/10.1007/978-981-16-0293-1_1
Download citation
DOI: https://doi.org/10.1007/978-981-16-0293-1_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-0292-4
Online ISBN: 978-981-16-0293-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)