Feedback Stabilization for Discrete-Time Singularly Perturbed Systems via Limited Information With Data Packet Dropout

Abstract

This paper is concerned with the feedback stabilization of discrete time singularly perturbed systems under information constraints. First, the designed coder and decoder are connected via a limited communication channel with data packet dropout, which is assumed to obey the independent and identically distributed Bernoulli processes. Under the above conditions, the transmission error between estimated state and input state will tend to zero exponentially. Meanwhile, the upper bound of the packet loss rate can also be obtained when the communication channel capacity is limited. Then, under the proposed coder-decoder pair, a sufficient condition for the asymptotic stability of the closed-loop system is given by linear matrix inequalities. Furthermore, the upper bound of the small perturbation parameter for the stability of systems can be explicitly estimated with a workable computational way. Finally, two examples are given to illustrate the effectiveness of the proposed method.