Robust finite-time bounded control for discrete-time stochastic systems with communication constraint

This study is concerned with the problem of finite-time stochastic bounded (FTSB) control for discrete-time stochastic system with communication constraint, in which there may exist external bounded disturbance and state-dependent noise. In particular, the state of system may loss when transmitted via communication networks. In this study, a compensating strategy is employed to cope with the packet dropout. Moreover, the concepts on FTSB are introduced and relevant issues are discussed. By constructing suitable Lyapunov-Krasovskii functional, sufficient conditions dependent on both dropout probability and specified work time are derived to ensure the FTSB of the closed-loop system. Meanwhile, a prescribed H_∞ performance is also achieved. Finally, an F-18 aircraft model is employed to illustrate the proposed approach.