Logic-based switching adaptive control for chaotic system with unknown parameters

Abstract

In this paper, the problem of adaptive controller for Lorenz system with unknown parameters is studied. Based on Lyapunov theory, the novel adaptive controller with logic-based switching mechanism is established. In the process of design, all uncertain parameters are estimated centralized via logic-based switching mechanism to avoid the deterioration of the system performance caused by the successive estimates of several unknown parameters. The novel design can improve the dynamic performance of the system and increase the robustness of the system. Lyapunov theorem and Barbalat lemma demonstrate global asymptotic stability of chaotic controlled system. The simulation results show feasibility and effectiveness of the method.