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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
A novel discrete time model is proposed for networked control system (NCS) which converts the uncertainty of time-delay into the uncertainty of the parameter matrix. Based on Lyapunov stability theory and LMI approach, we provide a sufficient condition to the asymptotical stability of NCS without disturbance and design a state feedback controller which stabilizes the system. For the NCS with disturbance, we point out a sufficient condition ensuring the system meeting prescribed H∞ performance gamma and a state feedback controller ensuring the system meeting optimal performance index. Numerical examples are given to illustrate the effectiveness of our results via TrueTime toolbox.
Keywords:networked control system;time-delay;asymptotical stability;state feedback;H∞ performance