时滞现象是自然界中广泛存在的一种物理现象,时滞的存在使得被控量不能及时反映系统的变化,从而使控制系统的稳定性变差,给时滞系统控制器的设计带来很大困难。针对一类状态和控制输入均含有时滞的离散仿射系统的跟踪控制进行研究,采用自适应动态规划迭代算法求解时滞系统的跟踪控制,在自适应动态规划的基础上,建立系统性能指标函数,通过系统变换将跟踪问题转化成为最优调节问题,并采用自适应动态规划迭代算法对性能指标函数进行迭代求解,得到最优控制策略。并给出了一个仿真算例,结果证明了所提出的跟踪控制方案是有效的。
The phenomenon of time delay is widely exists and will make the controlled states not reflect the system changes timely.So the stability of the control system turns out poor,and then brings great trouble for the controller design.This paper provides an adaptive dynamic iterative algorithm to solve the optimal tracking problems for a class of nonlinear discrete systems with time-delay in state and control input.The tracking problems are transformed into the optimal regulation problems via the system transforms.In order to solve the optimal regulation of the new system an adaptive dynamic programming iterative algorithm is used and then the optimal control strategy is obtained.Two simulation examples show that the optimal tracking control algorithm proposed is valid.