Non-fragile robust exponential stabilisation and H∞ control for uncertain stochastic systems with non-linearity and mixed delays

摘要

This study focuses on the delay-dependent robust exponential stabilisation and H-infinity control for uncertain stochastic time-delay systems with non-linear terms. Uncertain parameters are assumed to be time-varying norm bounded, while timevarying delay terms include both discrete and distributed delays. Firstly, by choosing an appropriate Lyapunov-Krasovskii functional, a sufficient condition for the robust exponential stabilisation is obtained. Secondly, the H-infinity control is also discussed. All criteria are presented in the form of linear matrix inequalities with less conservatism. Finally, an example verifies the validity of the proposed method.

关键词

delays robust control linear matrix inequalities Lyapunov methods asymptotic stability control system synthesis stochastic systems uncertain systems delay systems nonlinear control systems discrete time systems distributed control nonfragile robust exponential stabilisation nonlinearity mixed delays delay-dependent robust exponential stabilisation uncertain stochastic time-delay systems nonlinear terms uncertain parameters time-varying delay discrete distributed delays