Prescribed Performance Adaptive Tracking Control of Nonlinear Mass-Spring-Damper System with Stochastic Disturbance

Abstract

In this paper, we consider the prescribed performance control problem for a nonlinear mass-spring-damper system with unknown dead-zone output and stochastic disturbance. Firstly, a smooth approximate model is used to solve the problem of nondifferentiable of the output dead-zone at the turning point, and a Nussbaum-type function is used to deal with the impact of the unknown dead-zone during the control design. Besides, the fuzzy logic system is used to approximate the unknown nonlinear function in the system, and the system tracking error is always ensured to be within the preset error boundaries by presetting the performance function. Subsequently, the system is proved to be stable using the Lyapunov function, and it is also shown that all closed-loop signals under this system are bounded in probability. Finally, the effectiveness of the control scheme is verified by simulink simulation.