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提出一种有限时间离散线性最优跟踪控制问题的新解法——信息融合估计解法.基于信息融合估计理论,推导出协状态融合滤波方程和控制量融合估计值,由此获得最优融合控制律及二次性能指标最小值.从理论上证明了信息融合估计解法与传统解法的等同性.从信息融合的角度建立了有限时间离散线性最优跟踪控制系统,从而统一了最优控制问题和最优估计问题.电机系统的控制仿真结果验证了该解法的有效性以及与传统解法的等同性.
A new solution to the discrete-time linear optimal tracking control problem with finite time-information fusion estimation is proposed. Based on the information fusion estimation theory, the co-state fusion filtering equation and the control amount fusion estimation are derived, and the optimal fusion control law And the minimum value of quadratic performance index.It is proved theoretically that the information fusion estimation method is equivalent to the traditional solution method.Finally, a finite-time discrete linear optimal tracking control system is established from the perspective of information fusion, which unifies the optimal control problem Optimal estimation problem.The simulation results of the motor system verify the validity of the solution and its equivalence with the traditional solution.