On a Convex Characterisation of Stability and Performance for Hybrid Linear Systems

被引：0

作者：

Souza, Matheus ^{[1
]}

Geromel, Jose C. ^{[2
]}

机构：

[1] Univ Coll Dublin, Sch Elect Elect & Commun Engn, Dublin, Ireland

[2] Univ Campinas UNICAMP, Sch Elect & Comp Engn, Campinas, SP, Brazil

来源：

2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年

关键词：

Hybrid systems; Linear systems; LMI;

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：

Hybrid linear systems stability and performance are analysed in the context of semidefinite programming with conditions expressed by LMIs. First, new convex conditions for the global asymptotic stability of the origin are presented. These conditions are then generalised to provide a unified convex characterisation of performance for stable hybrid linear systems involving measures similar to H-2 and H-infinity norms. Academic examples illustrate the developed theory.

引用

页码：6623 / 6628

页数：6

共 14 条

[1]

Abou-Kandil H., 2003, Matrix Riccati Equations in Control and System Theory, V1st

[2]

Boyd S., 2004, CONVEX OPTIMIZATION

[3]

Boyd S., 1994, Linear matrix inequalities in system and control theory, V15

[4]

Costa O. L. V., 2013, PROBABILTY ITS APPL

[5] On an LMI approach to optimal sampled-data state feedback control design [J].

Geromel, Jose C. ;

Souza, Matheus .

INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (11) :2369-2379

[6] Hybrid Dynamical Systems [J].

Goebel, Rafal ;

Sanfelice, Ricardo G. ;

Teel, Andrew R. .

IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02) :28-93

[7] A HYBRID STATE-SPACE APPROACH TO SAMPLED-DATA FEEDBACK-CONTROL [J].

HARA, S ;

FUJIOKA, H ;

KABAMBA, PT .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 206 :675-712

[8]

Ichicawa A., 2001, LINEAR TIME VARYING

[9] WORST-CASE ANALYSIS AND DESIGN OF SAMPLED-DATA CONTROL-SYSTEMS [J].

KABAMBA, PT ;

HARA, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (09) :1337-1357

[10]

Khalil H.K., 2002, Nonlinear systems, V3rd

← 1 2 →