随机离散线性系统的满意鲁棒控制

Robust Satisfactory Control for Stochastic Discrete Linear Systems

将随机线性离散系统不同环节中出现的结构不确定性 ,描述成由不相关扰动参数矩阵决定的新形式。利用线性矩阵不等式 (LMI)方法 ,设计满意鲁棒控制器使闭环系统同时满足期望的扇形区域极点配置指标和稳态输出协方差指标。满意控制器设计可以完全转化为线性矩阵不等式的求解问题 ,不需要人工干预选择参数。用一个例子说明了该文方法的有效性。

The structural uncertainties in different system matrices of stochastic discrete linear systems are described in a new form, in which the uncertainty are determined by irrelated disturbance parameters.A method is proposed to design satisfactory robust controllers with the linear matrix inequality(LMI) technique so that the closed loop systems attain prescribed sector pole placement and steady output covariance specifications. The satisfactory controller design problem can be completely transformed to solution of the LMIs without manual intervening in choosing parameters. An example is taken to demonstrate its effectiveness.