H∞ Tracking Control of Discrete-Time System With Delays via Data-Based Adaptive Dynamic Programming

摘要

In this article, the $H_{infty }$ tracking control problem for a class of discrete time-delay systems is studied using data-based adaptive dynamic programming (ADP) algorithm. First, the controlled system and the reference system are combined to form an augmented discrete time-delay system. Second, we transform it into a discrete time-delay system represented by system measured data, which allows the system state to be completely replaced by the data generated during system operation. Third, a novel data-based Bellman equation is derived according to the Bellman optimality principle. Then, an ADP-based $H_{infty }$ tracking control method is designed by means of the measured data. The simulation example demonstrates the effectiveness of the data-based ADP control method proposed in this article.