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CLC number: TP273

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2020-11-16

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Yonghao Jiang

https://orcid.org/0000-0002-4772-0115

Wei Wu

https://orcid.org/0000-0001-8283-0654

Xuyang Lou

https://orcid.org/0000-0002-7499-1308

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Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.5 P.720-731

http://doi.org/10.1631/FITEE.1900601


Event-based H control for piecewise-affine systems subject to actuator saturation


Author(s):  Yonghao Jiang, Wei Wu, Xuyang Lou, Zhengxian Jiang, Baotong Cui

Affiliation(s):  MOE Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi 214122, China

Corresponding email(s):   y.h.jiang@foxmail.com, weiwu@jiangnan.edu.cn, Louxy@jiangnan.edu.cn

Key Words:  Event-triggered control, Piecewise-affine system, Linear matrix inequality, Actuator saturation, H performance


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.

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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"
}

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%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
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%@ 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
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Y1 - 2021
PB - Zhejiang University Press & Springer
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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.

具有执行器饱和的分段仿射系统基于事件的H控制

蒋永豪,吴炜,楼旭阳,江正仙,崔宝同
江南大学轻工过程先进控制教育部重点实验室,中国无锡市,214122

摘要:针对具有执行器饱和的离散时间分段仿射系统,提出一种事件触发控制器设计方法。考虑饱和信息,提出一种新的事件触发策略,该策略能节省通信资源。基于分段李雅普诺夫函数,推导出基于线性矩阵不等式的可行性条件。该条件不仅能保证闭环系统在一定H性能指标下的稳定性,还能减少信号传输数量。最后,利用仿真实例验证该方法的有效性。

关键词:事件触发控制;分段仿射系统;线性矩阵不等式;执行器饱和;H性能

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[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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