Robust H2 /H∞ Control fo r Delta Operator Uncertain Sy stem

Journal of Petrochemical Universities ›› 2007, Vol. 20 ›› Issue (3): 29-32.

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Robust H2 /H∞ Control fo r Delta Operator Uncertain Sy stem

1 .College of Electrical Engineering and Automation of Xuzhou Normal University,Xuzhou Jiangsu 221116,P.R.China;

2.College of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, P.R.China

Received:2007-02-05 Online:2007-09-20 Published:2017-07-05

Delta 算子不确定系统的鲁棒H2 /H ∞控制

闫俊荣¹, 郭西进²

1.徐州师范大学电气工程及自动化学院, 江苏徐州221116 ;
2.中国矿业大学信电学院, 江苏徐州221008

作者简介:闫俊荣(1972 -), 女, 河北万全县, 硕士, 讲师
基金资助:
国家自然科学基金项目(60304016)

Abstract

Abstract:

The problem of H₂/ H _∞ robust control for delta operator formulated a kind of linear systems with norm-bounded model parameter uncertainty and exterior disturbance was considered. A sufficient and necessary conditions and the corresponding state feedback control law were derived in terms of linear matrix inequality. It is showed that this condition is equivalent to the feasible solutions problem of a linear matrix inequality and its solutions provide a parameterized representation of the controller. Furthermore, the design problem of optimal robustH₂/ H _∞controller was given by solving a corresponding convex optimization problem. Finally, an example was given to illustrate the feasibility of the presented method.

Key words:

Delta operator, , Robust H₂/H_∞ control, , Linear matrix inequality

摘要： 研究了De lta 算子描述的同时具有模型范数有界参数不确定性和外部扰动的一类系统的鲁棒H₂/ H _∞控制问题。运用线性矩阵不等式(LMI)方法, 证明了鲁棒H₂/ H _∞控制律存在的充分必要条件, 然后用一个线性矩阵不等式的可行解给出所有这一控制律的一个参数化表示, 进一步通过建立和求解一个凸优化问题, 给出了最优鲁棒H₂/ H _∞控制律的设计。最后, 用一个例子验证了给出方法的可行性。

关键词: Delta 算子 , 鲁棒H₂/ H _∞控制 , 线性矩阵不等式

YAN Jun-rong,GUO Xi-jin. Robust H2 /H∞ Control fo r Delta Operator Uncertain Sy stem[J]. Journal of Petrochemical Universities, 2007, 20(3): 29-32.

闫俊荣, 郭西进. Delta 算子不确定系统的鲁棒H2 /H ∞控制[J]. 石油化工高等学校学报, 2007, 20(3): 29-32.

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Robust H2 /H∞ Control fo r Delta Operator Uncertain Sy stem

Delta 算子不确定系统的鲁棒H2 /H ∞控制

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