Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays

被引:0
作者
Mai Viet Thuan
机构
[1] Thainguyen University of Science,Department of Mathematics and Informatics
来源
Journal of Systems Science and Complexity | 2019年 / 32卷
关键词
Finite-time guaranteed cost control; linear matrix inequalities; Lyapunov-Krasovskii functional; multiple time delays; positive systems;
D O I
暂无
中图分类号
学科分类号
摘要
This paper deals with the finite-time guaranteed cost control problem for positive system with multiple time delays and bounded disturbance. By using Lyapunov-Krasovskii functional method, some new sufficient conditions for the design of a state feedback controller which makes the closedloop system finite-time stable and guarantees an adequate cost level of performance are derived. Two numerical examples are also given to show the effectiveness of the proposed method.
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页码:496 / 509
页数:13
相关论文
共 105 条
[1]  
Zhang J S(2016)Robust reliable guaranteed cost control of positive interval systems with multiple time delays and actuator failure International Journal of System Science 47 946-955
[2]  
Wang YW(2007)Controller synthesis for positive linear systems with bounded controls IEEE Transactions on Circuits and Systems II: Express Briefs 54 151-155
[3]  
Xiao JW(2008)Positive observers and dynamic output feedback controllers for interval positive linear systems IEEE Transactions on Circuits and Systems I: Regular Papers 55 3209-3222
[4]  
Rami M A(2012)Exponential stability analysis for positive systems with delays IET Control Theory & Applications 6 761-767
[5]  
Tadeo F(2013)Exponential stability for positive systems with bounded timevarying delays and static output feedback stabilization Journal of the Franklin Institute 350 617-636
[6]  
Shu Z(2014)On exponential stability of linear singular positive delayed systems Applied Mathematics Letters 38 67-42
[7]  
Lam J(2015)Static state-feedback controller and observer design for interval positive systems with time delay IEEE Transactions on Circuits and Systems II: Express Briefs 62 506-510
[8]  
Gao H(2015)L1-gain analysis and control synthesis of positive switched systems International Journal of Systems Sciences 46 2111-2121
[9]  
Zhu S(2016)Guaranteed cost control for switched LPV systems via parameter and state-dependent switching with dwell time and its application Optimal Control Applications and Methods 38 601-617
[10]  
Li Z(2016)On reachable sets for positive linear systems under constrained exogenous inputs Automatica 74 230-237