基于强传递性的线性时不变系统同时稳定化的充分条件

Sufficient condition for simultaneous stabilization of linear time-invariant systems using strong transitivity approach

本文考虑了离散线性时不变系统的同时稳定化问题.基于强传递性的方法,本文利用互素因子分解法建立了同时存在多个稳定控制器的充分条件.此外,在这个条件下,本文提出了同时稳定3个系统的控制器的设计方法.最后,给出了一个例子验证结果的有效性.

The problem of the simultaneous stabilization of linear,time-invariant,discrete-time systems is addressed.Using the strong transitivity approach,we establish sufficient condition for the existence of simultaneously stabilizing controllers based on the coprime factorization.Additionally,this paper presents a new methodology for the design of simultaneously stabilizing controllers for three plants that satisfy a sufficient condition.Finally,a simple example is presented to show the effectiveness of the result.