Adaptive control of a class of nonlinear systems

Abstract

In this paper, the inverse method of nonlinear systems with a nonlinearity is presented, and adaptive control algorithm of this type of nonlinear systems is established. This control algorithm is also suitable for the unstable and (or) inverse unstable systems, achieves virtually asymptotically optimal control and may ensure the closed-loop systems to be globally convergent and stable by choosing weighted polynomials. The simulation results show that the algorithm can overcome the affection of nonlinearity of the systems and may improve control performance.<>