时延控制系统的稳定性及其模型跟随的H_∞方法

The Stability of Time-delay System and Its Hoo Method for Model-matching Control

本文应用稳定因式分解理论研究时延控制系统的稳定性,讨论了三种不同情况的模型跟随问题,即完全模型跟随、不完全模型跟随和临界模型跟随。文中证明了后两类不完全模型跟随可以转化为H_∞范数空间的优化问题,并给出相应的算法和实例。

In this paper the stability of time-delay system is studied based on factorization approach. The model-matching control, including perfect, im-perfect and critical-imperfect model-matching cases, is also disscused. It is pro-ved that imperfect model-matching can be formulated as a optimization pro-blem in H∞norm space, the appropriate algorithm and examples are simultane-ously given.