A New Robust Nonfragile Controller Design Scheme for a Class of Hybrid Systems through Piecewise Affine Models

作者：Chen, Yunsai^*; Pang, Yongjie; Yang, Zhao; Ma, Liang

来源：Mathematical Problems in Engineering, 2018, 2018: 1875610.

DOI：10.1155/2018/1875610

• H-INFINITY CONTROL
• OUTPUT-FEEDBACK CONTROL
• NON-FRAGILE CONTROL
• LINEAR-SYSTEMS
• STABILIZATION

This paper investigates the robust H-infinity nonfragile control problem for a class of discrete-time hybrid systems based on piecewise affine models. The objective is to develop an admissible piecewise affine nonfragile controller such that the resulting closed-loop system is asymptotically stable with robust H-infinity performance gamma. By employing a state-control augmentation methodology, some new sufficient conditions for the controller synthesis are formulated based on piecewise Lyapunov functions (PLFs). The controller gains can be obtained via solving a set of linear matrix inequalities. Simulation examples are finally presented to demonstrate the feasibility and effectiveness of the proposed approaches.

• 出版日期2018
• 单位哈尔滨工程大学