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

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．

This paper studies the problem of robust controller design for systems with integral quadratic constrained uncertainties. By combining the method of Youla parameterization with the criterion of robust stability, the problem of robust controller 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 interpolation on border.