Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6560911
