CLC number: TP273
On-line Access: 2021-05-17
Received: 2019-11-06
Revision Accepted: 2020-06-09
Crosschecked: 2020-11-16
Cited: 0
Clicked: 4730
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0002-4772-0115
Yonghao Jiang, Wei Wu, Xuyang Lou, Zhengxian Jiang, Baotong Cui. Event-based H∞ control for piecewise-affine systems subject to actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(5): 720-731.
@article{title="Event-based H∞ control for piecewise-affine systems subject to actuator saturation",
author="Yonghao Jiang, Wei Wu, Xuyang Lou, Zhengxian Jiang, Baotong Cui",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="22",
number="5",
pages="720-731",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900601"
}
%0 Journal Article
%T Event-based H∞ control for piecewise-affine systems subject to actuator saturation
%A Yonghao Jiang
%A Wei Wu
%A Xuyang Lou
%A Zhengxian Jiang
%A Baotong Cui
%J Frontiers of Information Technology & Electronic Engineering
%V 22
%N 5
%P 720-731
%@ 2095-9184
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900601
TY - JOUR
T1 - Event-based H∞ control for piecewise-affine systems subject to actuator saturation
A1 - Yonghao Jiang
A1 - Wei Wu
A1 - Xuyang Lou
A1 - Zhengxian Jiang
A1 - Baotong Cui
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 22
IS - 5
SP - 720
EP - 731
%@ 2095-9184
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1900601
Abstract: We deal with event-triggered H∞ controller design for discrete-time piecewise-affine systems subject to actuator saturation. By considering saturation information, a novel event-triggered strategy is proposed to conserve communication resources. A linear matrix inequality based condition is derived based on a piecewise Lyapunov function. This condition guarantees the stability of the closed-loop system with a certain H∞ performance index and reduces the number of transmitted signals. Numerical examples are given to show the efficiency of our method.
[1]Åarzén KE, 1999. A simple event-based PID controller. IFAC Proc Vol, 32(2):8687-8692.
[2]Aranda-Escolástico E, Abdelrahim M, Guinaldo M, et al., 2017. Design of periodic event-triggered control for polynomial systems: a delay system approach. IFAC-PapersOnLine, 50(1):7887-7892.
[3]Åström KJ, Bernhardsson B, 1999. Comparison of periodic and event based sampling for first-order stochastic systems. IFAC Proc Vol, 32(2):5006-5011.
[4]Boyd S, Vandenberghe L, 2004. Convex Optimization. Cambridge University Press, Cambridge, UK.
[5]Chen CL, Feng G, Guan XP, 2005. H∞ discrete time fuzzy control with application to chaos control based on piecewise Lyapunov functions. IFAC Proc Vol, 38(1):449-454.
[6]Chen YG, Zhou Q, Fei SM, 2014. Robust stabilization and l2-gain control of uncertain discrete-time constrained piecewise-affine systems. Nonl Dynam, 75(1-2):127-140.
[7]Eqtami A, Dimarogonas DV, Kyriakopoulos KJ, 2010. Event-triggered control for discrete-time systems. Proc American Control Conf, p.4719-4724.
[8]Esfahani PS, Pieper JK, 2017. H∞ model predictive control for constrained discrete-time piecewise affine systems. Int J Rob Nonl Contr, 28(6):1973-1995.
[9]Gao Y, Liu Z, Chen H, 2009. Robust H∞ control for constrained discrete-time piecewise affine systems with time-varying parametric uncertainties. IET Contr Theory Appl, 3(8):1132-1144.
[10]Grant M, Boyd S, 2014. CVX: Matlab Software for Disciplined Convex Programming. Version 2.2. http://cvxr.com/cvx
[11]Heemels WPMH, de Schutter B, Bemporad A, 2001. Equivalence of hybrid dynamical models. Automatica, 37(7):1085-1091.
[12]Heemels WPMH, Donkers MCF, Teel AR, 2013. Periodic event-triggered control for linear systems. IEEE Trans Autom Contr, 58(4):847-861.
[13]Hespanha JP, Naghshtabrizi P, Xu YG, 2007. A survey of recent results in networked control systems. Proc IEEE, 95(1):138-162.
[14]Hu TS, Lin ZL, Chen BM, 2002. Analysis and design for discrete-time linear systems subject to actuator saturation. Syst Contr Lett, 45(2):97-112.
[15]Kailath T, 1980. Linear Systems. Prentice-Hall, Englewood Cliffs, USA.
[16]LeBel S, Rodrigues L, 2009. PWL and PWA H∞ controller synthesis for uncertain PWA slab systems: LMI approach. Int J Contr, 82(3):482-492.
[17]Lei Y, Wang YW, Guan ZH, et al., 2018. Event-triggered adaptive output regulation for a class of nonlinear systems with unknown control direction. IEEE Trans Syst Man Cybern Syst, in press.
[18]Li HC, Zuo ZQ, Wang YJ, 2018. Dynamic output feedback control for systems subject to actuator saturation via event-triggered scheme. Asian J Contr, 20(1):207-215.
[19]Liu JL, Yin TT, Yue D, et al., 2020a. Event-based secure leader-following consensus control for multiagent systems with multiple cyber attacks. IEEE Trans Cybern, in press.
[20]Liu JL, Yang M, Xie XP, et al., 2020b. Finite-time H∞ filtering for state-dependent uncertain systems with event-triggered mechanism and multiple attacks. IEEE Trans Circ Syst I, 67(3):1021-1034.
[21]Liu JL, Suo W, Zha LJ, et al., 2020c. Security distributed state estimation for nonlinear networked systems against DoS attacks. Int J Rob Nonl Contr, 30(3):1156-1180.
[22]Liu Y, Yang GH, Li XJ, 2017. Event-triggered fault detection observer design for affine fuzzy systems. Neurocomputing, 267:564-571.
[23]Ma YF, Wu W, Cui BT, 2018. Event-triggered feedback control for discrete-time piecewise-affine systems. Int J Syst Sci, 49(16):3377-3389.
[24]Ma YF, Wu W, Görges D, et al., 2019. Event-triggered feedback control for discrete-time piecewise affine systems subject to input saturation. Nonl Dynam, 95(3):2353-2365.
[25]Postoyan R, Tabuada P, Nešić D, et al., 2015. A framework for the event-triggered stabilization of nonlinear systems. IEEE Trans Autom Contr, 60(4):982-996.
[26]Qiu JB, Feng G, Gao HJ, 2011. Approaches to robust H∞ static output feedback control of discrete-time piecewise-affine systems with norm-bounded uncertainties. Int J Rob Nonl Contr, 21(7):790-814.
[27]Qiu JB, Wei YL, Wu LG, 2017. A novel approach to reliable control of piecewise affine systems with actuator faults. IEEE Trans Circ Syst II, 64(8):957-961.
[28]Qiu JB, Wei YL, Karimi HR, et al., 2018. Reliable control of discrete-time piecewise-affine time-delay systems via output feedback. IEEE Trans Reliab, 67(1):79-91.
[29]Rodrigues L, Boukas EK, 2006. Piecewise-linear H∞ controller synthesis with applications to inventory control of switched production systems. Automatica, 42(8):1245-1254.
[30]Rodrigues L, Boyd S, 2005. Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization. Syst Contr Lett, 54(9):835-853.
[31]Saito T, Jinąŕno K, Torikai H, 1995. Chaotic artificial neural system and its control. Int J Electron, 79(6):797-806.
[32]Sontag E, 1981. Nonlinear regulation: the piecewise linear approach. IEEE Trans Autom Contr, 26(2):346-358.
[33]Sturm JF, 1999. Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones. Optim Method Softw, 11(1-4):625-653.
[34]Tabuada P, 2007. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans Autom Contr, 52(9):1680-1685.
[35]Tarbouriech S, Garcia G, da Silva JMGJr, et al., 2011. Stability and Stabilization of Linear Systems with Saturating Actuators. Springer, London, UK.
[36]Toh KC, Todd MJ, Tütüncü RH, 1999. SDPT3—a Matlab software package for semidefinite programming. Version 1.3. Optim Method Softw, 11(1-4):545-581.
[37]Wu W, Reimann S, Liu S, 2014. Event-triggered control for linear systems subject to actuator saturation. IFAC Proc Vol, 47(3):9492-9497.
[38]Wu W, Reimann S, Görges D, et al., 2015. Suboptimal event-triggered control for time-delayed linear systems. IEEE Trans Autom Contr, 60(5):1386-1391.
[39]Wu W, Reimann S, Görges D, et al., 2016. Event-triggered control for discrete-time linear systems subject to bounded disturbance. Int J Rob Nonl Contr, 26(9):1902-1918.
[40]Zhang LX, Ning ZP, Zhang WX, 2017. Observer-based control for piecewise-affine systems with both input and output quantization. IEEE Trans Autom Contr, 62(11):5858-5865.
[41]Zuo ZQ, Li QS, Li HC, et al., 2016. Co-design of event-triggered control for discrete-time systems with actuator saturation. Proc 12th World Congress on Intelligent Control and Automation, p.170-175.
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