Adaptive type-2 fuzzy second order sliding mode control for nonlinear uncertain chaotic system
For control engineers dealing with uncertain chaotic systems, this work offers a robust controller that reduces chattering, but it is an incremental improvement combining existing methods.
The paper proposes an adaptive type-2 fuzzy second order sliding mode controller to stabilize unstable periodic orbits of uncertain chaotic systems, reducing chattering via a super-twisting algorithm. Simulation results demonstrate the controller's effectiveness.
In this paper, a robust adaptive type-2 fuzzy higher order sliding mode controller is designed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances. In Higher Order Sliding Mode Control (HOSMC),the chattering phenomena of the control effort is reduced, by using Super Twisting algorithm. Adaptive interval type-2 fuzzy systems are proposed to approximate the unknown part of uncertain chaotic system and to generate the Super Twisting signals. Based on Lyapunov criterion, adaptation laws are derived and the closed loop system stability is guaranteed. An illustrative example is given to demonstrate the effectiveness of the proposed controller.