State feedback control for networked systems with mixed delays subject to quantization and dropout compensation

Abstract

This paper deals with the state feedback control problem for networked systems with discrete and infinite distributed delays subject to quantization and packet dropout. The infinite distributed delay is introduced in the discrete networked domain. Also, it is assumed that system state is quantized before being communicated and the quantization error is described as sector bounded uncertainty. Moreover, a compensation scheme is proposed to deal with the effect of random packet dropout through communication network. Then, by constructing a novel Lyapunov-Krasovskii functional that accounts for mixed time delays, sufficient conditions for the existence of an admissible controller are established to ensure the asymptotical stability of the resulting closed loop system. Especially, the cone complementary linearization approach is exploited to solve the nonconvex feasibility problem. Finally, a numerical example is given to illustrate the proposed design method in this paper.