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Event-triggered and guaranteed cost finite-time H∞ control for uncertain switched linear systems
Qi YW(齐义文); Liu, Yanhui; Bao, Wen; Li, Xianling; Cui JG(崔建国); Zhu LL(朱琳琳)
Department机器人学研究室
Source PublicationOptimal Control Applications and Methods
ISSN0143-2087
2018
Volume39Issue:4Pages:1337-1353
Indexed BySCI ; EI
EI Accession number20180804819435
WOS IDWOS:000438514000005
Contribution Rank4
Funding OrganizationNational Natural Science Foundation of China (grants numbers 61403261 and 51676053), the Aeronautical Science Foundation of China (grants numbers 2014ZC54014 and 2016ZC54008), the Scientific Research Fund of Liaoning Provincial Education Department (grant number L201709), the 2015 State Key Laboratory of Robotics Open Project (grant number 2015-022), and the SAU Young and Middle-aged Top-notch Talent Support Program (grant number 04160105)
KeywordEvent-triggered Control Finite-time Boundedness Guaranteed Cost Switched Linear Systems H∞ Performance Uncertain
Abstract

This paper is concerned with the event-triggered and guaranteed cost finite-time H∞control problem for uncertain switched linear systems with exogenous disturbance. Instead of one common strategy, multiple event-triggering strategies are first proposed, ie, each subsystem possesses its own corresponding event-triggering substrategy. Then, by utilizing the multiple Lyapunov functions and average dwell-time method, sufficient conditions for the finite-time boundedness with an H∞performance level of the resulting event-triggered switched closed-loop system are derived. Meanwhile, a certain upper bound of the guaranteed cost function with respect to the system uncertainties is obtained. Subsequently, a set of sufficient conditions in terms of linear matrix inequalities is given for solving the event-triggered and guaranteed cost finite-time H∞state feedback controllers. Furthermore, the Zeno sampling behavior is excluded by presenting a positive lower bound estimation on the interexecution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.

Language英语
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/21575
Collection机器人学研究室
Corresponding AuthorQi YW(齐义文)
Affiliation1.School of Automation Shenyang Aerospace University Shenyang China
2.School of Energy Science and Engineering Harbin Institute of Technology Harbin China
3.Wuhan Second Ship Design and Research Institute Wuhan China
4.State Key Laboratory of Robotics Shenyang Institute of Automation Shenyang China
Recommended Citation
GB/T 7714
Qi YW,Liu, Yanhui,Bao, Wen,et al. Event-triggered and guaranteed cost finite-time H∞ control for uncertain switched linear systems[J]. Optimal Control Applications and Methods,2018,39(4):1337-1353.
APA Qi YW,Liu, Yanhui,Bao, Wen,Li, Xianling,Cui JG,&Zhu LL.(2018).Event-triggered and guaranteed cost finite-time H∞ control for uncertain switched linear systems.Optimal Control Applications and Methods,39(4),1337-1353.
MLA Qi YW,et al."Event-triggered and guaranteed cost finite-time H∞ control for uncertain switched linear systems".Optimal Control Applications and Methods 39.4(2018):1337-1353.
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