observer–controller synthesis approach in low frequency for T–S fuzzy systems

作     者：Wen-Bo Xie Zhao-Kun Han Fen Wu Song Zhu 

作者机构：College of Automation Harbin University of Science and Technology Harbin 150080 People's Republic of China Shanghai Key Laboratory of Power Station Automation Technology School of Mechatronic Engineering and Automation Shanghai University Shanghai 200444 People's Republic of China Department of Mechanical and Aerospace Engineering North Carolina State University Raleigh NC 27695 USA School of Mathematics China University of Mining and Technology Xuzhou 221116 People's Republic of China 

出 版 物：《IET Control Theory & Applications》 

年 卷 期：2020年第14卷第5期

页      面：738-749页

学科分类：0808[工学-电气工程] 08[工学] 

主　　题：convex programming observers linear matrix inequalities robust control feedback fuzzy systems eigenvalues and eigenfunctions control system synthesis fuzzy control continuous time systems Lipschitz conditions system stability conditions eigenvalues generalised Kalman–Yakubovich–Popov lemma robustness conditions output feedback control problem continuous-time T–S fuzzy systems H∞ observer–controller design method H∞ observer–controller synthesis approach linear matrix inequality forms convex optimisation technique 

摘      要：For the output feedback control problem of continuous-time T–S fuzzy systems with unknown premise variables, an observer–controller design method in the low-frequency domain is proposed. First, an observer–controller structure is given, the unknown premise variables are limited by Lipschitz conditions. Then, the system stability conditions are obtained by the negativeness of eigenvalues real parts. To achieve better control performance of the system in low frequency, the index for attenuating the unknown low-frequency disturbance is guaranteed by generalised Kalman–Yakubovich–Popov lemma. Then, the stability and robustness conditions are converted into linear matrix inequality forms, which can be solved directly by a convex optimisation technique. Finally, several simulation examples carried out to show the effectiveness of the proposed method.