H∞ control for uncertain switched nonlinear singular systems with time delay

被引：19
|
作者：
Zhao, Yangyang [1 ]
Yang, Jianying [1 ]
Wen, Guanghui [1 ]
机构：
[1] Peking Univ, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China
来源：
NONLINEAR DYNAMICS | 2013年 / 74卷 / 03期
关键词：
Switched nonlinear singular system; Time delay; Lyapunov-Metzler inequality; H-infinity control; MULTIPLE LYAPUNOV FUNCTIONS; MARKOVIAN JUMP SYSTEMS; LINEAR-SYSTEMS; STABILITY ANALYSIS; NEURAL-NETWORKS; STABILIZATION; STABILIZABILITY; PROBABILITIES; DESIGN;
D O I：
10.1007/s11071-013-0995-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper investigates the H (a) control problem for a class of uncertain switched nonlinear singular systems with time delay. By appropriately introducing some auxiliary variables and using a Lyapunov-Metzler inequality approach, some sufficient conditions for finding a suitable state-dependent switching law guaranteeing the switched system meets the desired control objective are firstly given. Then, these results are extended to construct a state feedback controller. Based on the derived results, the existence conditions of an observer-based output feedback H (a) controller for the switched system are provided and formulated by using a combination of a linear matrix inequality (LMI) approach and a linear search algorithm. Finally, some numerical examples are performed to show the effectiveness and superiority of the proposed methods.
引用
收藏
页码：649 / 665
页数：17
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