Inverse Optimal Design of Direct Adaptive Fuzzy Controllers for Uncertain Nonlinear Systems
Kaixin Lu, Zhi Liu, C. L. Philip Chen, Yaonan Wang, Yun Zhang
Abstract
Optimized performance obtained from existing adaptive fuzzy optimal control methods comes at the cost of a intricate design procedure and a heavy computation of online parameter learning, and it is an under-explored problem on how to remove such a restriction. In this article, we tackle this problem and ensure the optimized performance using only one adaptive parameter. To this end, a direct adaptive fuzzy inverse approach is first proposed to design a switching-type inverse optimal controller and a one-parameter learning mechanism. It is proved that the proposed approach ensures the input-to-state stability of the control system and besides, the inverse optimality in regard to a meaningful cost functional is achieved. Illustrative examples verify the approach developed.