H∞ output tracking control for discrete-time switched systems via output feedback

被引：11

作者：

Li, Jiao ^{[1
,2
]}

Zhao, Jun ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[2] Hebei North Univ, Coll Sci, Beijing 075000, Hebei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 03期

基金：

中国国家自然科学基金;

关键词：

discrete-time switched systems; H output tracking control; output tracking error-dependent switching law; multiple Lyapunov functions; STABILITY ANALYSIS; ROBUST TRACKING; LINEAR-SYSTEMS; DESIGN;

D O I：

10.1002/rnc.3095

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 paper studies the problem of H output tracking control for a class of discrete-time switched systems. Neither the measurability of the system state nor the solvability of the output tracking control problem for each individual subsystem is required. We design controllers for subsystems and a switching law to solve the H output tracking problem for the switched system. The designed controllers use only the measured output feedback, and the switching law is based on the measured output tracking error. In addition, the quadratic function corresponding to each subsystem is not required to be positive definite. A numerical example is provided to demonstrate the feasibility and validity of the proposed design method. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：430 / 442

页数：13

共 34 条

[1] On the design of robust H∞ memory and memoryless tracking controllers for a class of linear time delay systems with time-varying uncertainties [J].

Alif, A. ;

Boutayeb, M. ;

Darouach, M. .

2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 :3867-+

[2] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[3] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

[4] Dynamic output feedback control of switched linear systems [J].

Geromel, Jose C. ;

Colaneri, Patrizio ;

Bolzern, Paolo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) :720-733

[5] Passivity of switched linear systems: Analysis and control design [J].

Geromel, Jose C. ;

Colaneri, Patrizio ;

Bolzern, Paolo .

SYSTEMS & CONTROL LETTERS, 2012, 61 (04) :549-554

[6] Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].

Hespanha, JP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482

[7] DESIGN OF A LINEAR CONTROLLER FOR ROBUST TRACKING AND MODEL FOLLOWING [J].

HOPP, TH ;

SCHMITENDORF, WE .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1990, 112 (04) :552-558

[8] Exponential l2-l8 output tracking control for discrete-time switched system with time-varying delay [J].

Hou, Linlin ;

Zong, Guangdeng ;

Wu, Yuqiang ;

Cao, Yongcan .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (11) :1175-1194

[9] Improved robust H∞ filtering for uncertain discrete-time switched systems [J].

Hu, K. ;

Yuan, J. .

IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (03) :315-324

[10]

Huangs J., 2004, NONLINEAR OUTPUT REG

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