Robust H_∞ controller design for sampled-data systems with parametric uncertainties  

作　　者：Liu Fuchun Yao Yu He Fenahua 

机构地区：[1]Control and Simulation Center, Harbin Inst. of Technology, Harbin 150001, P. R. China [2]Coll. of Automation Science and Engineering, South China Univ. of Technology, Guangzhou 510640, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2009年第2期371-378,共8页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (60574004; 60736024; 60674043) ;the Key Project of Science and Technology Research of the Ministry of Education of China (708069).

摘　　要：This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities （LMIs）. It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities （LMIs）. It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.

关 键 词：H∞ control sampled-data systems uncertain systems linear matrix inequality 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP274.2[自动化与计算机技术—控制科学与工程]