Impulsive observer-based stabilisation of uncertain linear systems

被引:56
作者
Chen, Wu-Hua [1 ,2 ]
Yang, Wu [1 ]
Lu, Xiaomei [1 ]
机构
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Peoples R China
[2] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL; EXPONENTIAL STABILITY; DELAY SYSTEMS; LMI APPROACH; ROBUST;
D O I
10.1049/iet-cta.2012.0998
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This study considers impulsive observer-based control of uncertain linear systems. A novel time-varying Lyapunov function is introduced to explore the hybrid characteristic of the impulsive observed-based control systems. By applying the time-varying Lyapunov function method combined with convex combination technique, sufficient conditions for the existence of the impulsive observer-based controller is derived in terms of linear matrix inequalities (LMIs). The control and observer gains can be obtained from the feasible solutions of the newly-obtained LMI-based conditions. Two numerical examples are presented to show the efficiency of the proposed design method. © The Institution of Engineering and Technology 2014.
引用
收藏
页码:149 / 159
页数:11
相关论文
共 21 条
[1]   Robust Observer-based H∞ Control of a Markovian Jump System with Different Delay and System Modes [J].
Abolmasoumi, Amir Hossein ;
Momeni, Hamid Reza .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (04) :768-776
[2]   Volterra Integral Approach to Impulsive Renewal Systems: Application to Networked Control [J].
Antunes, Duarte J. ;
Hespanha, Joao P. ;
Silvestre, Carlos J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (03) :607-619
[3]   Robust H∞ control of uncertain linear impulsive stochastic systems [J].
Chen, Wu-Hua ;
Wang, Jun-Ge ;
Tang, You-Jian ;
Lu, Xiaomei .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (13) :1348-1371
[4]   Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems [J].
Chen, Wu-Hua ;
Li, Dan-Xia ;
Lu, Xiaomei .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (10) :1934-1947
[5]   Exponential stability of nonlinear time-delay systems with delayed impulse effects [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2011, 47 (05) :1075-1083
[6]   Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods [J].
Dashkovskiy, Sergey ;
Kosmykov, Michael ;
Mironchenko, Andrii ;
Naujok, Lars .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2012, 6 (03) :899-915
[7]   A refined input delay approach to sampled-data control [J].
Fridman, Emilia .
AUTOMATICA, 2010, 46 (02) :421-427
[8]   On hybrid impulsive and switching systems and application to nonlinear control [J].
Guan, ZH ;
Hill, DJ ;
Shen, XM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (07) :1058-1062
[9]   Lyapunov conditions for input-to-state stability of impulsive systems [J].
Hespanha, Joao P. ;
Liberzon, Daniel ;
Teel, Andrew R. .
AUTOMATICA, 2008, 44 (11) :2735-2744
[10]   Stabilization of linear impulsive systems through a nearly-periodic reset [J].
Hetel, Laurentiu ;
Daafouz, Jamal ;
Tarbouriech, Sophie ;
Prieur, Christophe .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2013, 7 (01) :4-15