Delay-lower-bound-based adaptive fuzzy memory control for uncertain nonlinear systems with state and input delays

作者：Song, Shuni^*; Liu, Jingyi; Liu, Dan

来源：Advances in Difference Equations, 2016, 2016(1): 261.

DOI：10.1186/s13662-016-0975-3

• adaptive fuzzy memory control
• nonlinear strict-feedback systems
• mean value theorem
• the backstepping technique

This paper is concerned with the problem of adaptive fuzzy control for a class of uncertain nonlinear strict-feedback systems. The considered systems contain uncertain state delay and input delay simultaneously. By utilizing the mean value theorem, the unknown time-delayed functions related to all state variables are dealt with. A novel adaptive filter is designed to eliminate the effect of the time-varying input delay. Based on the backstepping technique, a delay-lower-bound-based adaptive fuzzy memory control scheme is developed. It is proved that the proposed adaptive memory control method can guarantee that all the signals in the closed-loop system are bounded and the tracking error converges to a small neighborhood of the origin. A simulation example is given to demonstrate the effectiveness of the proposed control scheme.

• 出版日期2016-10-18
• 单位东北大学