Reliable Dissipative Control for Singular Markovian Systems | Zendy

Feng Zhiguang | Zendy; Lam James | Zendy

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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.

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