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Reliable Dissipative Control for Singular Markovian Systems
Author(s) -
Feng Zhiguang,
Lam James
Publication year - 2013
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.591
Subject(s) - dissipative system , control theory (sociology) , linear matrix inequality , controller (irrigation) , mathematics , control (management) , actuator , state (computer science) , matrix (chemical analysis) , computer science , mathematical optimization , physics , algorithm , quantum mechanics , artificial intelligence , agronomy , biology , materials science , composite material
In this paper, the problem of reliable dissipative control is investigated for a continuous‐time singular M arkovian system with actuator failure. First, a sufficient condition is established in terms of linear matrix inequalities ( LMI s), which guarantees a singular M arkovian system to be stochastically admissible and strictly ( Q , S , R )‐dissipative. Based on this criterion, a state feedback controller design method is given in terms of strict LMI s. Moreover, the dissipative control results include the results of H ∞ control and passive control as special cases. The effectiveness of the controller designed method in this paper is illustrated by a numerical example.