离散时间菱形不确定系统的鲁棒控制器设计

Robust Control for Discrete-time Degenerate Diamond Uncertain Systems

对一类MIMO的菱形不确定离散时间线性系统,利用有限端点检验结果,提出一种输出反馈控制器的设计方法,导出了输出反馈增益矩阵K所满足的一组特殊非线性方程,通过求解该方程组,使有限个线性系统输出反馈LQ问题同时达到最优,从而保证菱形闭环系统是鲁棒渐近稳定的。数值例子说明了该方法的正确性。

An output feedback control for discrete-time diamond uncertainty MIMO systems is presented by the results of finite extreme point testing. By means of the finite LQ problems simultaneously obtaining optimization, a group of special nonlinear equations are derived, and the method of determining the static output feedback gain matrix K is also given to guarantee the stability of the uncertain systems. Numerical example shows the efficiency of the method.