Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy | Zendy

Lin Chai | Zendy; Shumin Fei | Zendy

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Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy

Author(s) -

Lin Chai,

Shumin Fei

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/319415

Subject(s) - control theory (sociology) , controller (irrigation) , full state feedback , state (computer science) , linear matrix inequality , stability (learning theory) , class (philosophy) , type (biology) , computer science , mathematics , adaptive control , control (management) , mathematical optimization , algorithm , artificial intelligence , machine learning , agronomy , biology , ecology

Stabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality (LMI) design approach. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations

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