Mode-dependent sampled control of linear systems

The problem of mode-dependent sampled control of linear systems is investigated in this paper. Based on Markov jumping theory, the delays from sensor to controller and sample period were combined and were modeled as humongous Markov jumping process with finite states. Then, based on input-delay approach, a kind of new stochastic Lyapunov-Krasovskii function dependent on sample period was introduced to give the sufficient condition in linear matrix inequality (LMI) from for stochastic stability by the method of free matrices. Then, the method for design of sampled controller for such system is also presented in LMI form. An illustrative example is included to demonstrate the effectiveness of the proposed techniques.