摘要
对同时具有加型参数不确定性以及积分二次约束 ( IQC,integral quadratic constraint)不确定性环节的一类线性系统 ,给出设计其鲁棒 H∞ 状态反馈控制器和动态输出反馈降阶控制器的设计方法 .在具体推导过程中 ,首先基于动态耗散理论 ,考虑了无输入情况下系统只具不确定性闭环环节时的鲁棒 H∞ 稳定性问题 .然后基于这一条件 ,针对典型的无源类和有限增益类不确定性 ,推出了系统同时具有多不确定性时进行鲁棒 H∞ 状态反馈控制器和动态输出反馈降阶控制器设计的充分条件 .所有可解条件都可化为标准的 LMI( linear matrix inequality)
This paper considers the designs of static state feedback controller and dynamical reduced-order output feedback controller for a class of systems simultaneously with matrix parameter uncertainty and independent uncertainty structure which is described in the form of integral quadratic constraint. Then three problems are considered: The robust H∞ stability problem for systems only with IQC uncertainty structure based on dissipative dynamical system theory, the robust H∞ disturbance attenuation problem with static state feedback controller, and the robust H∞ disturbance attenuation problem with dynamical reduced-order output feedback for systems simultaneously with parameter uncertainty and IQC uncertainty structure. All the solvable sufficient conditions can be transformed into the form of LMI.
出处
《自动化学报》
EI
CSCD
北大核心
2002年第2期192-200,共9页
Acta Automatica Sinica
基金
国家自然科学基金 (60 0 0 40 0 5 )资助
关键词
鲁棒H^∞控制器
LMI
不确定性系统
线性矩阵不等式
Constraint theory
Design
Feedback
Linear algebra
Matrix algebra
Robustness (control systems)
