不确定连续系统非脆弱H_2/H_∞状态反馈控制  

Non-Fragile H_2/H_∞ Controlling Via State Feedback for Uncertain Continuous-Time System

作　　者：高振斌[1] 

机构地区：[1]西安财经学院统计学院,陕西西安710100

出　　处：《控制工程》2010年第S3期29-32,51,共5页Control Engineering of China

摘　　要：针对用多胞型模型表示的不确定连续系统,研究了非脆弱H_2/H_∞状态反馈控制器设计方法。根据H_∞控制理论的有界实引理及H_2优化控制理论,给出了具有加性扰动(扰动满足多胞型不确定模型)的非脆弱H_2/H_∞状态反馈控制器的设计方法;运用线性矩阵不等式(LMI)凸优化方法,得到不确定连续系统的非脆弱H_2/H_∞状态反馈控制器存在的充要条件。采用倒立摆模型进行仿真,结果表明该算法有效和可行。The non-fragile H_2/H_∞controller via state feedback is studied for continuous-time systems with the polytopic parameter uncertainty. In term of bound real lemma of H_2/H_∞control theory and H_2 optimal control theory,the approach of non-fragile H_2/H_∞state feedback controller with polytopic uncertainty which has the additive perturbation is given.Using linear mtrix inequality(LMI) convex optimal technique,the condition with sufficiency and necessity of non-fragile H_2/H_∞controller via state feedback is obtained.The invert pendulum model is selected for simulating.It shows that the presented method is feasible and effective.

关 键 词：H₂/H_∞控制 非脆弱 状态反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]