Fuzzy energy-to-peak control for nonlinear Markovian jump systems

Author

Hao Shen ; Jing Wang ; Handong Zhang ; Jianping Zhou

Author_Institution

Sch. of Electr. Eng. & Inf., Anhui Univ. of Technol., Ma´anshan, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1518

Lastpage

1523

Abstract

This paper deals with the problem of the energy-to-peak control for nonlinear Markovian jump systems via Takagi-Sugeno fuzzy model approach. Our purpose is to design retarded feedback controller such that the resulting closed-loop system is stochastically stable with a prescribed energy-to-peak performance. By using a novel augmented Lyapunov functional method and the LMI relaxation technique, a sufficient condition is proposed for the solvability of the energy-to-peak control problem.

Keywords

Lyapunov methods; Markov processes; closed loop systems; computability; control system synthesis; feedback; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; LMI relaxation technique; Takagi-Sugeno fuzzy model approach; augmented Lyapunov functional method; closed-loop system; energy-to-peak performance; fuzzy energy-to-peak control; nonlinear Markovian jump systems; retarded feedback controller design; solvability; stochastically stable; sufficient condition; Adaptive control; Analytical models; Closed loop systems; Educational institutions; Manganese; Switches; Symmetric matrices; Fuzzy energy-to-peak control; augmented Lyapunov functional method; nonlinear Markovian jump systems; retarded feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358119

Filename

6358119