Title
Robust H∞switching control of polytopic parameter-varying systems via dynamic output feedback
Document Type
Article
Publication Date
1-1-2016
Abstract
The problem of designing a globally optimal robust output-feedback controller for time-varying polytopic uncertain systems is a well-known non-convex optimization problem. In this paper, new sufficient conditions for robust H∞outputfeedback control synthesis are proposed in terms of a special type of bilinear matrix inequalities (BMIs), which can be solved effectively using linear matrix inequality (LMI) optimization plus a line search. In order to reduce the conservatism of robust output-feedback control methods based on single quadratic Lyapunov function, we utilize multiple Lyapunov functions. The associated robust output-feedback controller is constructed as a switching-type full-order dynamic output-feedback controller, consisting of a family of linear subcontrollers and a min-switching logic. The proposed approach features the important property of computational efficiency with stringent performance. Its effectiveness and advantages have been demonstrated through numerical studies.
Recommended Citation
Yuan, C., Duan, C., & Wu, F. (2016). Robust H∞switching control of polytopic parameter-varying systems via dynamic output feedback. Retrieved from https://digitalcommons.pvamu.edu/mechanical-engineering-facpubs/13