Zero-Sum Games for Discrete-Time Systems Based on Model-Free ADP
In this chapter, zero-sum games are investigated for discrete-time systems based on the model-free ADP method. First, an effective data-based optimal control scheme is developed via the iterative ADP algorithm to find the optimal controller of a class of discrete-time zero-sum games for Roesser type 2-D systems. Since the exact models of many 2-D systems cannot be obtained inherently, the iterative ADP method is expected to avoid the requirement of exact system models. Second, a data-based optimal output feedback controller is developed for solving the zero-sum games of a class of discrete-time systems, whose merit is that not only knowledge of the system model is not required, but neither is information of the system states. Theoretical analysis and a simulation study show the validity of the methods presented.