Robust model reference control for uncertain second-order system subject to parameter uncertainties

作     者：Tian, Guang-Tai Duan, Guang-Ren 

作者机构：Harbin Inst Technol Ctr Control Theory & Guidance Technol POB 416 Harbin 150001 Peoples R China 

出 版 物：《TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL》 (计量与控制学会汇刊)

年 卷 期：2022年第44卷第1期

页      面：88-104页

核心收录：

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 081102[工学-检测技术与自动化装置] 

基　　金：Major Program of National Natural Science Foundation of China [61690210, 61690212] National Natural Science Foundation of China 

主　　题：Robust control model reference control second-order systems parameter uncertainties robust stabilization robust compensation 

摘      要：This paper is devoted to designing a robust model reference controller for uncertain second-order systems subject to parameter uncertainties. The system matrix of the first-order reference model is more general and the parameter uncertainties are assumed to be norm-bounded. The design of robust controller can be devided into two separate problems: problem robust stabilization and problem robust compensation. Based on the solution of generalized Sylvester matrix equations, we obtain some sufficient conditions to guarantee the complete parameterization of the controller. Then, the problem robust compensation of the closed-loop system is estimated by solving a convex optimisation problem with a set of linear matrix equations constraints. Two simulation examples are provided to illustrate the effectiveness of the proposed technique.