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积分二次约束下系统鲁棒镇定的凸参数化方法
Convex Parameterization Approach for Robust Stabilization of Systems with Integral Quadratic Constrained Uncertainties
【摘要】 研究了积分二次约束下不确定系统的鲁棒控制器设计问题.通过将控制器的Youla参数化方法与鲁棒稳定性频域判据相结合,将鲁棒控制器设计问题转化为RH~∞空间的凸可行性问题,进而将该问题转化为求解频域线性矩阵不等式的可行解问题.在此基础上,利用有理函数矩阵边界插值方法求得鲁棒控制器.
【Abstract】 This paper studies the problem of robust controller design for systems with integral quadratic constrained uncer- tainties.By combining the method of Youla parameterization with the criterion of robust stability,the problem of robust con- troller design is converted into that of convex feasibility in RH~∞space,and is further converted into that of finding solutions for a frequency dependent linear matrix inequality.Thus,the robust controller can be achieved by the method of rational matrix in- terpolation on border.
【关键词】 积分二次约束;
鲁棒镇定;
凸参数化;
线性矩阵不等式;
【Key words】 Integral quadratic constraint; robust stabilization; convex parameterization; linear matrix inequalities;
【Key words】 Integral quadratic constraint; robust stabilization; convex parameterization; linear matrix inequalities;
【基金】 国家自然科学基金(60374039,60334030,60204007)资助~~
- 【文献出处】 自动化学报 ,Acta Automatica Sinica , 编辑部邮箱 ,2007年04期
- 【分类号】TP18
- 【被引频次】1
- 【下载频次】155