Switching Output Feedback Control of LTI Systems

被引：0

作者：

Xiao, Minqing ^{[1
]}

Zhai, Guisheng ^{[2
]}

Yu, Qiang ^{[3
]}

Lian, Jie ^{[4
]}

机构：

[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou, Peoples R China

[2] Shibaura Inst Technol, Dept Math Sci, Saitama, Japan

[3] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen, Shanxi, Peoples R China

[4] Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China

来源：

2020 IEEE 16TH INTERNATIONAL CONFERENCE ON CONTROL & AUTOMATION (ICCA) | 2020年

基金：

美国国家科学基金会;

关键词：

Linear time-invariant (LTI) system; norm bounded uncertainty; static output feedback; switched system; switching law; multiple Lyapunov functions; piecewise observer; LINEAR-SYSTEMS; QUADRATIC STABILIZABILITY; STABILIZATION; STABILITY;

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：

For linear time-invariant (LTI) systems, we consider a switching control composed of a collection of static output feedback controllers and an output dependent switching law so that the closed-loop system is asymptotically stable when the controllers are switched under the switching law. Both certain and uncertain LTI systems are dealt with. Multiple Lyapunov functions and a piecewise observer are proposed to implement the switching law, and sufficient conditions are derived for the existence condition and the computation of multiple Lyapunov functions and static output feedback gains.

引用

页码：1032 / 1037

页数：6

共 30 条

[21]

Skelton R. E., 1998, UNIFIED ALGEBRAIC AP

[22] Static output feedback - A survey [J].

Syrmos, VL ;

Abdallah, CT ;

Dorato, P ;

Grigoriadis, K .

AUTOMATICA, 1997, 33 (02) :125-137

[23] Switched Controller Synthesis for the Quadratic Stabilisation of a Pair of Unstable Linear Systems [J].

Wicks, M. ;

Peleties, P. ;

DeCarlo, R. .

EUROPEAN JOURNAL OF CONTROL, 1998, 4 (02) :140-147

[24] Stability Analysis for LTI Control Systems With Controller Failures and Its Application in Failure Tolerant Control [J].

Xiang, Weiming ;

Zhai, Guisheng ;

Briat, Corentin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (03) :811-816

[25] Stability analysis and failure tolerant control for discrete-time linear systems with controller failure [J].

Xiang, Weiming ;

Zhai, Guisheng ;

Xiao, Jian .

INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (03) :559-570

[26] Quadratic stabilisation of switched affine systems [J].

Xiao, Minqing ;

Zhai, Guisheng ;

Huang, Chi .

JOURNAL OF CONTROL AND DECISION, 2020, 7 (01) :1-23

[27] Stabilization of second-order LTI switched systems [J].

Xu, XP ;

Antsaklis, PJ .

INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (14) :1261-1279

[28] Hybrid static output feedback stabilization of two-dimensional LTI systems: a geometric method [J].

Zhai, G. ;

Kondo, H. ;

Imae, J. ;

Kobayashi, T. .

INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (08) :982-990

[29] Quadratic stabilizability of switched linear systems with polytopic uncertainties [J].

Zhai, GS ;

Lin, H ;

Antsaklis, PJ .

INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (07) :747-753

[30] Disturbance attenuation properties of time-controlled switched systems [J].

Zhai, GS ;

Hu, B ;

Yasuda, K ;

Michel, AN .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (07) :765-779

← 1 2 3 →