Observer-Based Adaptive Fixed-Time Sensor Fault Compensation Control for Uncertain Nonlinear Systems
针对不确定非线性系统，提出一种基于观测器的自适应固定时间传感器故障补偿控制方法，首次设计六次幂李雅普诺夫函数，使观测误差和跟踪误差在固定时间内收敛到零附近小邻域。
This article focuses on an observer-based adaptive sensor fault compensation fixed-time tracking control problem for uncertain nonlinear systems. A sixth-power Lyapunov function is designed for the first time which lays the foundation to construct the effective adaptive fixed-time fault compensation mechanism. Meanwhile, in the controller design procedure, owing to the existence of the sensor fault, only the actual output can be measured, unlike existing results, an improved state observer is constructed to estimate the unmeasured states effectively. Under our developed control mechanism, all closed-loop signals are bounded within fixed-time interval, observation errors and tracking error can converge into a small domain around zero. Simulation verifies the availability of the presented approach further.