具有H_(2)/H_(∞)混合性能约束的离散系统的极点配置

POLES ASSIGNMENT CONSTRAINED BY MIXED H_(2)/H_(∞) PERFORMANCE FOR DISCRETE SYSTEMS

本文主要研究具有H_2/H_∞混合性能约束的线性离散系统的极点配置问题,首先将这一问题转化为一个具有H_∞性能和系统闭环极点位置约束的系统H_2性能优化问题,进而通过引入一个辅助性能函数,进一步将其转化成有一个矩阵方程约束的辅助性能函数的最小化优化问题,并给出这个问题静态输出反馈和状态反馈控制器的解的表达式。

This paper studies the problem of poles assignment constrained by mixed H_2/H_∞ performances for discrete systems. First, this problem is converted into the problem of H_2 optimization constrained by H_∞ performance and poles' location. Then an auxiliary performnce function is introduced to replace the former problem by the problem of minimization of the auxiliary performance. At last this problem is solved by Lagrange multipliers, and the static output feedback and state feedback controllers are desisned.