中文摘要：

针对线性多变量系统,将前馈解耦控制与有限时间最优跟踪控制相结合,提出一种新的最优解耦控制方法.首先,将关于状态的微分方程转化成关于输出的微分方程,将系统内部矩阵和控制输入矩阵分别分解成对角矩阵和对角元为零的矩阵;然后,通过引入中间虚拟变量,采用前馈和输出反馈的方法对系统进行解耦;最后,采用有限时间最优跟踪控制方法实现系统对任意参考输入的跟踪.仿真结果表明了所提出方法的有效性和优越性.

英文摘要：

A new optimal decoupling control method is proposed for linear multi-variable systems, by combining feedforward decoupling control with finite-time optimal tracking control. Firstly, the differential equation on outputs is derived, and then the internal matrix and control input matrix are respectively decomposed into a diagonal matrix and the one whose diagonal elements are zeros. Then, an intermediate virtual variable is introduced, and the feedforward and output feedback methods are used to decouple the system. Finally, the finite-time optimal tracking control method is adopted to realize the tracking of the outputs of the closed-loop system to arbitrary reference inputs. Simulation results show the effectiveness and superiority of the proposed method.