Output-Feedback Stabilization Control of Linear Systems with Random Switchings and State Jumps

被引：0

作者：

Cong Shen ^{[1
]}

Sheng Zunbine ^{[1
]}

Chen Jiaqi ^{[2
]}

Wang Shigane ^{[1
]}

Bi Yongli ^{[1
]}

机构：

[1] Heilongjiang Univ, Sch Mech & Elect Engn, Harbin 150080, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

switching systems; Poisson processes; almost sure stability; output-feedback stabilization; CONTINUOUS-TIME; STABILITY; NOISE;

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：

We are concerned with the stabilization control problem for a class of systems with random switchings and state jumps. We suppose the random switching signal to obey Poisson distribution and intend to use output-feedback control to achieve stabilization. Firstly, based on the statistic property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities.

引用

页码：4090 / 4093

页数：4

共 10 条

[1] On almost sure stability of continuous-time Markov jump linear systems [J].

Bolzern, P. ;

Colaneri, P. ;

De Nicolao, G. .

AUTOMATICA, 2006, 42 (06) :983-988

[2]

Cetinkaya A, 2010, P AMER CONTR CONF, P4046

[3] Stability analysis of deterministic and Stochastic switched systems via a comparison principle and multiple Lyapunov functions [J].

Chatterjee, D ;

Liberzon, D .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :174-206

[4] STABILIZING RANDOMLY SWITCHED SYSTEMS [J].

Chatterjee, Debasish ;

Liberzon, Daniel .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (05) :2008-2031

[5] Output feedback control of Markov jump linear systems in continuous-time [J].

de Farias, DP ;

Geromel, JC ;

do Val, JBR ;

Costa, OLV .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (05) :944-949

[6] Noise suppresses or expresses exponential growth [J].

Deng, Feiqi ;

Luo, Qi ;

Mao, Xuerong ;

Pang, Sulin .

SYSTEMS & CONTROL LETTERS, 2008, 57 (03) :262-270

[7] Stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].

Deng, H. ;

Krstić, M. ;

Williams, R.J. .

1600, Institute of Electrical and Electronics Engineers Inc. (46)

[8]

Durrett R, 1999, Essentials of Stochastic Processes

[9]

Feng X., 1992, AUTOMATIC CONTROL IE, V37, P38

[10] Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems [J].

Tanelli, Mara ;

Picasso, Bruno ;

Bolzern, Paolo ;

Colaneri, Patrizio .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) :195-201

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