Adaptive asymptotic tracking control design for high-order uncertain nonlinear systems

Abstract

This paper investigates the asymptotic tracking control of uncertain high-order nonlinear systems with time-varying desired signals.A new universal adaptive tracking control strategy is introduced, which combines the technique of adding a power integrator, adaptive technology and a series of algebraic transformations to achieve asymptotic tracking performance successfully. Compared to the traditional tracking control strategies, the proposed control scheme guarantees that the output tracking error of the high-order nonlinear system asymptotically converges to zero and is no longer limited to a time-varying compact domain. While ensuring that all signals in the closed-loop system are bounded, the controller also has sufficient ability to compensate for the unknown quantity, virtual control coefficient and parameter uncertainty of the system. Finally, the feasibility and effectiveness of the theoretical results are verified by a simulation example.