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Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter

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4 Author(s)
Lin, Chai ; Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, School of Automation, Southeast Univ., Nanjing 210096, P. R. China; School of electrics, Southeast Univ., Nanjing 210096, P. R. China ; Ming, Cheng ; Shumi, Fei ; Junyonq, Zhai

The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:20 ,  Issue: 1 )