A variable memory state feedback and its application to robust control of uncertain singular time-delay systems

Author(s):  
Ya-Li Zhi
2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Lin Chai ◽  
Shumin Fei

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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