线性广义系统的输入-输出能量解耦

考虑线性广义系统的输入 输出能量解耦问题,即从输入 输出的能量关系上实现解耦,使得任何一个输入能量主要控制对应的一个输出的能量,对其他输出能量的影响尽可能小·利用线性矩阵不等式,给出线性广义系统能够输入 输出能量解耦的充分条件,使得闭环系统具有上述性能,同时也是容许(即正则,稳定,无脉冲)的,并且基于线性不等式的解提出了相应的控制器设计方法,最后利用结果提出线性广义系统输入 输出能量解耦的算法并给出一个数值算例·

Input-Output Energy Decoupling of Linear Singular Systems

The problem of input-output energy decoupling is considered for linear singular systems. It means an approximate decoupling process enabling the energy of every input controls mainly the energy of a corresponding output with minimized effect on the energy of other outputs. By means of linear matrix inequalities, sufficient conditions are presented to realize the input-output energy decoupling for a linear singular system so as to feature the closed-loop system with the performance above and admissibility (i.e. regular, stable and impulse-free), and the design methods for such controllers are provided in terms of the solution of linear matrix inequalities. Moreover, a computational method is presented with an example given to show how to solve the input-output energy decoupling problem for linear singular systems.