Passivity and feedback design of nonlinear Markovian jump systems

Author

Zhongwei Lin ; Jizhen Liu ; Weihai Zhang ; Yuguang Niu

Author_Institution

State Key Lab. for Alternate Electr. Power Syst. with Renewable Energy Sources, North China Electr. Power Univ., Beijing, China

fYear

2013

fDate

25-27 May 2013

Firstpage

154

Lastpage

158

Abstract

This paper is an attempt to combine the passivity theory with geometric control theory for nonlinear Markovian jump systems. The key-point concretes on taking the appropriate coordinate changes following with the Markovian switchings. Based on this concept, we investigate the passivity, feedback equivalence and global stabilization problems, which implies that feedback equivalence to a passive Markovian jump system requires a strongly minimum-phase condition.

Keywords

Markov processes; control system synthesis; feedback; nonlinear control systems; stability; time-varying systems; Markovian switchings; feedback design; feedback equivalence; geometric control theory; global stabilization problems; minimum-phase condition; nonlinear Markovian jump systems; passive Markovian jump system; passivity design; passivity equivalence; passivity theory; Control theory; Educational institutions; Markov processes; Nonlinear systems; Stability analysis; Switches; Markovian jump system; Nonlinear system; Passive system; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6560911

Filename

6560911