Mode-dependent sampled control of linear systems

Author

Liu, Hongliang ; Zhou, Huibo ; Wang, Peichen

fYear

2012

fDate

23-25 May 2012

Firstpage

4036

Lastpage

4040

Abstract

The problem of mode-dependent sampled control of linear systems is investigated in this paper. Based on Markov jumping theory, the delays from sensor to controller and sample period were combined and were modeled as humongous Markov jumping process with finite states. Then, based on input-delay approach, a kind of new stochastic Lyapunov-Krasovskii function dependent on sample period was introduced to give the sufficient condition in linear matrix inequality (LMI) from for stochastic stability by the method of free matrices. Then, the method for design of sampled controller for such system is also presented in LMI form. An illustrative example is included to demonstrate the effectiveness of the proposed techniques.

Keywords

Lyapunov methods; Markov processes; control system synthesis; delays; linear matrix inequalities; linear systems; sampled data systems; stability; stochastic systems; LMI form; Markov jumping theory; delays; free matrices; input-delay approach; linear matrix inequality; linear system; mode-dependent sampled control; sampled controller design; stochastic Lyapunov-Krasovskii function; stochastic stability; sufficient condition; Closed loop systems; Delay; Linear matrix inequalities; Linear systems; Markov processes; LMI; Markov process; Mode-dependent; Stochastic Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244644

Filename

6244644