Indirect adaptive control for a class of unknown nonlinear systems based on LS-SVM

An indirect adaptive control approach based on LS-SVM is proposed for a class of nonlinear dynamic systems with unknown nonlinearities in this paper. The LS-SVM technique is employed to perform approximating unknown nonlinear functions. The updating rule of LS-SVM parameters is derived from Lyapunov stability theory. The proposed control law can guarantee that the output tracking error and the states of the obtained closed-loop systems are uniformly ultimately bounded. The effectiveness and robustness of the presented control scheme are demonstrated in the case of van der Pol system.