LS-SVM Adaptive Back-Stepping Control for a Class of Uncertain Nonlinear Systems
Based on back-stepping control design, adaptive control and least squares support vector machine theory, a new least squares support vector machine adaptive back-stepping control law was designed for strictly block type of feedback nonlinear systems control with uncertainties. Least squares support vector machine theory method to approximate a nonlinear function of uncertain nonlinear systems by analyzing the disadvantage of common back-stepping. New control law of the nonlinear systems is achieved without accurate mathematical model. The method overcomes the impact of the bounded uncertainties on the control system. On this basis, the system stability and convergence are proved by Lyapunov method. Simulation results indicate that the designed control law has strong robustness and adaptability, uncertainties that exist in the strict block feedback nonlinear systems.
G. D. Zhu et al., "LS-SVM Adaptive Back-Stepping Control for a Class of Uncertain Nonlinear Systems", Advanced Materials Research, Vols. 588-589, pp. 1409-1413, 2012