Non-fragile observer-based H∞ control for stochastic time-delay systems

作者：Zhou, Jianping; Park, Ju H.^*; Ma, Qian

来源：Applied Mathematics and Computation, 2016, 291: 69-83.

DOI：10.1016/j.amc.2016.06.024

• Time-delay systems
• Stochastic disturbance
• Gain perturbation
• Observer-based control
• H-infinity control

This paper considers the problem of non-fragile observer-based H-infinity control for stochastic time-delay systems. The controller and observer to be designed are assumed to have norm-bounded gain perturbations. By choosing an appropriate Lyapunov-Krasovskii functional and introducing a slack matrix variable, a less conservative delay-dependent condition of exponential stability in mean square is presented in the form of linear matrix inequalities (LMIs). A stochastic bounded real lemma is then established. On the basis of this, a new LMI-based approach is developed for designing non-fragile observer-based H-infinity controllers without imposing any constraints on the system matrices. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism of the proposed design approach.

• 出版日期2016-12-1
• 单位南京理工大学; 安徽工业大学