Adaptive Fuzzy Optimal Control for Switched Nonlinear Systems With Output Hysteresis

Licheng Zheng, Zhi Liu, C. L. Philip Chen, Yun Zhang, Zongze Wu, Shengli Xie

Abstract: This article investigates a class of switched nonlinear systems with output hysteresis, where the switching signal is arbitrary. The considered output hysteresis nonlinearity is captured by the Bouc-Wen model, which causes an uncertain gain that imposes a significant challenge on our control design. To overcome this problem, we propose an adaptive fuzzy optimal control scheme. In our scheme, the Nussbaum gain technique is used to compensate for output hysteresis, and, at each iteration, the actor-critic structure is progressively feedback and adjusted to design the optimal controller. Finally, our proposed design scheme can guarantee the stability of the nonlinear switched systems, which is demonstrated in the simulation results.