Four nonlinear multi-input multi-output ADHDP constructions and algorithms based on topology principle

Abstract

In this paper, Four action-dependent heuristic dynamic programming control methods are presented for nonlinear multi-input-multi-output system with different characters based on the topology principle. These four methods are the action-network extension method, the sub-network method, the cascaded action-network method and the combined method. The derivation procedure and computing formulas of these methods are also derived. In it, the action-network extension method is mainly used for the conditions where the multi-output variables have the same orders of magnitude and a naturally coupled relationship. The sub-network method can nearly be applied in all cases and can solve the problem that the multi-output variables have different orders of magnitude. The cascaded action-network method is utilized when the multiple input variables have explicit cascaded relationships. The combined method can be used to control some highly regarded systems. Thus, these four methods can almost be used to satisfy all the design requirements of the nonlinear multi-input-multi-output control systems. The latter can refer to and select these methods as well as formulas for their control systems according to the research results to achieve a better control effect.