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A Convex Method of Robust Controller Design for Markovian Jump Systems with Uncertain Transition Rates
Author(s) -
Guo Yafeng
Publication year - 2014
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.756
Subject(s) - control theory (sociology) , linear matrix inequality , convexity , controller (irrigation) , convex optimization , jump , mathematics , regular polygon , convex combination , transition rate matrix , mathematical optimization , computer science , control (management) , statistics , quantum mechanics , artificial intelligence , financial economics , agronomy , economics , biology , physics , geometry
This paper is concerned with exploring a convex controller design method for a class of M arkovian jump systems with uncertain transition rates. First, a new stability criterion of such systems is established by applying the slack‐matrix technique. Then, a totally convex method for the state‐feedback controller design is derived in terms of linear matrix inequalities. The proposed design method has the merits of convexity and low conservativeness, while in the previous methods the two merits cannot coexist. Finally, a numerical example is given to illustrate the effectiveness and merits of the proposed method.