Premium
Passivity, Feedback Equivalence and Global Stabilization of Nonlinear Markovian Jump Systems
Author(s) -
Lin Zhongwei,
Liu Jizhen,
Niu Yuguang
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.929
Subject(s) - passivity , control theory (sociology) , nonlinear system , equivalence (formal languages) , jump , markov process , mathematics , computer science , control (management) , engineering , physics , statistics , discrete mathematics , quantum mechanics , artificial intelligence , electrical engineering
This paper combines the passivity theory with geometric control theory for nonlinear Markovian jump systems. The key point concentrates 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 under a proposed strongly minimum‐phase condition, the nonlinear Markovian jump system is feedback equivalent to a passive system. A numerical example is presented to illustrate the effectiveness of our results.