H∞ state feedback control design of discrete-time switched linear systems

被引：0

作者：

Daiha, Helder R. ^{[1
]}

Egidio, Lucas N. ^{[1
]}

Deaecto, Grace S. ^{[1
]}

Geromel, Jose C. ^{[2
]}

机构：

[1] Univ Estadual Campinas, Sch Mech Engn, BR-13083860 Campinas, SP, Brazil

[2] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil

来源：

2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年

关键词：

switched linear systems; stability analysis; H-infinity control design; STABILIZABILITY; STABILITY; STABILIZATION;

D O I：

暂无

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 deals with the co-design of a state dependent switching function and a set of state feedback gains for discrete-time switched linear systems. The results are based on a new sufficient condition for exponential stabilizability described in terms of linear matrix inequalities (LMIs) and take into account an H-infinity performance index. Whenever the external input is available, a novel state-input dependent switching rule is proposed. Compared to other available design procedures, the present one is more amenable for control synthesis purposes and simpler from both theoretical and numerical viewpoints. Some examples borrowed from the recent literature are used for comparisons and illustration.

引用

页数：6

共 19 条

[1]

[Anonymous], 2005, COMM CONT E

[2] Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions [J].

Blanchini, Franco ;

Savorgnan, Carlo .

AUTOMATICA, 2008, 44 (04) :1166-1170

[3]

Boyd S., 1994, SIAM STUDIES APPL MA

[4] A new discrete-time robust stability conditions [J].

de Oliveira, MC ;

Bernussou, J ;

Geromel, JC .

SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :261-265

[5]

Deaecto G. S., STABILITY PERF UNPUB

[6] Dynamic output feedback H∞ control of continuous-time switched affine systems [J].

Deaecto, Grace S. .

AUTOMATICA, 2016, 71 :44-49

[7] State feedback Script capital H∞ control design of continuous-time switched affine systems [J].

Deaecto, Grace S. ;

Santos, Guilherme C. .

IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (10) :1511-1516

[8] Discrete-Time Switched Linear Systems State Feedback Design With Application to Networked Control [J].

Deaecto, Grace S. ;

Souza, Matheus ;

Geromel, Jose C. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) :877-881

[9] Dynamic output feedback H∞ control of switched linear systems [J].

Deaecto, Grace S. ;

Geromel, Jose C. ;

Daafouz, Jamal .

AUTOMATICA, 2011, 47 (08) :1713-1720

[10] On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons [J].

Fiacchini, Mirko ;

Girard, Antoine ;

Jungers, Marc .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (05) :1181-1193

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