Stabilization with Optimal Performance for Dissipative Discrete-Time Impulsive Hybrid Systems

被引：4
|
作者：
Yan, Lamei [3 ]
Liu, Bin [1 ,2 ]
机构：
[1] Australian Natl Univ, Dept Informat Engn, Canberra, ACT 0200, Australia
[2] Hunan Univ Technol, Coll Sci, Zhuzhou 412008, Peoples R China
[3] Hangzhou Dianzi Univ, Sch Printing Engn, Hangzhou 310018, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2010年
基金：
澳大利亚研究理事会;
关键词：
H-INFINITY-CONTROL; DYNAMICAL-SYSTEMS; ROBUST STABILITY; BASIC INPUT; OUTPUT; STATE;
D O I：
10.1155/2010/278240
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the problem of stabilization with optimal performance for dissipative DIHS (discrete-time impulsive hybrid systems). By using Lyapunov function method, conditions are derived under which the DIHS with zero inputs is GUAS (globally uniformly asymptotically stable). These GUAS results are used to design feedback control law such that a dissipative DIHS is asymptotically stabilized and the value of a hybrid performance functional can be minimized. For the case of linear DIHS with a quadratic supply rate and a quadratic storage function, sufficient and necessary conditions of dissipativity are expressed in matrix inequalities. And the corresponding conditions of optimal quadratic hybrid performance are established. Finally, one example is given to illustrate the results.
引用
收藏
页码：1 / 14
页数：14
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