State Feedback Controller Design for Affine Parameter-Dependent LPV Systems*. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Liu, Zhong; Theilliol, Didier; Gu, Feng; He, Yuqing; Yang, Liying; Han, Jianda
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 9760
• Page End: 9765
• Publication Date: 2017-07
• Subjects: Linear parameter-varying -- affine parameter-dependence -- Lyapunov stability -- guaranteed cost control -- linear quadratic regulator -- linear matrix inequality; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.2181
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Affine quadratic stability (AQS) is usually devoted to stability analysis of the linear parameter-varying (LPV) system. In this paper, the main contribution is to put forward state feedback control methods for the affine parameter-dependent LPV system based on AQS, guaranteed cost control and LPV linear quadratic regulator (LQR) included for good control performance, and test their conservatism. The parameter-dependent Lyapunov function from AQS could be transformed to linear matrix inequality (LMI) problems for tractability, and the convexity would ensure avoidance of solving infinite LMIs. In this way, parameter-dependent state feedback controllers could be gotten, and comparison between them is applied to analyze the admitted conservatism numerically by simulation results.