Observer-based approximate design of optimal output-tracking controller for linear systems with time-delay
线性时滞系统基于观测器的最优输出跟踪控制器近似设计

An approximate design procedure of optimal output-tracking controller is considered for linear systems with time-delay. First, based on the optimal output-tracking control problem of the original system, two iterative sequences of differential equations with known initial and terminal conditions are constructed and proved to be convergent uniformly to the optimal solution of the original problem. Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained. Furthermore, an algorithm is given to calculate the approximate optimal output-tracking control law. Finally, a reduced-order reference input observer is designed to make the feedforward term in the optimal output-tracking controller physically realizable. Simulation results illustrate that the presented approach is effective and simple to implement.