基于算子理论的非线性系统互质分解方法及其现状

摘要

主要介绍了基于算子理论的非线性系统互质分解方法及其理论。从互质分解的存在性，基于Youla参数的构造，系统的稳定鲁棒性及观测器的设计等各方面，讨论了非线性系统互质分解方法及理论在控制理论中的应用，并指出了未来该领域的研究方向。%In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced. The applications of the method and theory of nonlinear coprime factorizations in the control theory are discussed from all aspects, such as from the existence of the coprime factorizations, the construction of the Youla parameterization, the robust stability, the identification and the design of the observers. The research direction of the coprime factorizations in nonlinear systems in the future is proposed at the end of this paper.