Dynamic Output Feedback Control of a Sampled-Data System Under Stochastic Sampling

Haoyuan Sun, Honggui Han, Jian Sun, Jie Chen

Abstract: In this paper, we study the problem of stability and stabilization of a sampled-data system under stochastic sampling. A dynamic output feedback control method is proposed in which it is assumed that the sampling interval is disturbed by noisy perturbations obeying a certain probability density. A stochastic stability condition is derived and presented in terms of a linear matrix inequality (LMI) using the Kronecker product operation and the Vandermonde matrix. On the basis of the obtained stochastic stability condition, a new approach to obtain the controller gain matrices is developed. The effectiveness of the proposed method is demonstrated by two examples.