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线性时变不确定时滞系统的鲁棒H_∞控制
Robust H_∞ Controller Design for Linear Time-Varying Uncertain Systems with Delayed State and Control
【摘要】 本文主要研究了状态和控制同时存在滞后的线性时变不确定时滞系统的鲁棒H∞控制.问题,给出了对所有容许不确定性,被控对象可二次镇定和满足从于扰输入到控制输出的H∞范数界约束的无记忆状态反馈鲁棒H∞控制分析结果,得到了确保鲁棒H∞控制器存在的充分条件.文中进一步把不确定系统的鲁棒H∞控制器设计问题等价为线性时不变系统的状态反馈标准H∞控制问题,并由此得到鲁棒H∞控制器综合设计方法.
【Abstract】 This paper focuses on analysis and synthesis of robust H. control for linear time-varying uncertain dynamic systems with delayed state and control. The paper presents a static state feedback controllerwhich quadratically stabilizes the plant and reduces the effect of the disturbance input on the controlled output to a prescribed levels for all admissible uncertainties. The sufficient conditions for robust Hoe controllerdesign are derived. An equivalent linear time-invariant structural description for the time-varying uncertainsystems with delayed state and control is obtained.
【Key words】 robust H_∞ control; time-delay systems; uncertainty; modified Riccati equation;
- 【文献出处】 控制理论与应用 ,CONTROL THEORY & APPLICATIONS , 编辑部邮箱 ,1998年02期
- 【分类号】TP13
- 【被引频次】42
- 【下载频次】460