Fuzzy sliding mode control scheme for a class of non-linear uncertain chaotic systems

This study deals with the problem of controlling class of uncertain non-linear systems in the presence of external disturbances. To achieve this goal, a robust fuzzy sliding mode (RFSM) controller is introduced. First known dynamics of the system are eliminated through feedback linearisation and then fuzzy sliding mode controller is designed using Takagi-Sugeno (TS) method, based on the Lyapunov method which is capable of handling uncertainties. There is no sign of the undesired chattering phenomenon in the proposed method. The globally asymptotic stability of the closed-loop system is mathematically proved. In order to evaluate the performance of the proposed controller, the results are compared with those obtained by optimal H_∞ adaptive proportional integral derivative controller and an optimal Type-2 fuzzy proportional integral derivative, which are the latest researches in the problem in hand. Simulation results show the effectiveness of the RFSM controller.