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能控性和能观测性是从控制系统状态的受控能力、被观测能力这两方面来反映系统的内在性质。能控性和能观测性这两个基本概念在现代控制理论中具有一定的重要性,它们不仅在理论上贯穿着线性系统理论,而且可用来指导实践,作为选择控制量和观测量的依据。在研究线性系统的最优控制和最佳估计问题时,都要以系统的能控性和能观测性做为前提条
Controllability and observability reflect the intrinsic properties of the system from both the controlled capacity of the control system and the observed capacity. The two basic concepts of controllability and observability are of some importance in modern control theory. They not only theoretically run through the linear system theory, but also can be used to guide practice as the basis for selecting control variables and observational variables. In the study of optimal control of linear systems and the best estimation problems, we must take the system controllability and observability as a precondition