Event-triggered adaptive fault-tolerant control of uncertain non-affine systems with predefined performance. Issue 18 (December 2022)

• Record Type: Journal Article
• Authors: Yang, Yang; Zhang, Yuwei; Si, Xuefeng; Ge, Hui; Ge, Yuan; Wu, Defeng; Hou, Xiaolei
• Is Part Of: Journal of the Franklin Institute. Volume 359:Issue 18(2022)
• Page Start: 10525
• Page End: 10557
• Publication Date: 2022-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2022.10.018
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper is concerned with an event-triggered adaptive fault-tolerant problem for an uncertain non-affine system. The implicit function theorem and mean value theorem are utilized to transform a non-affine system into an affine one, and an extended state observer and a tracking differentiator are used to estimate unknown dynamics and the derivative of virtual control laws, respectively. Adaptive laws are designed for unknown faults, and an event-triggered control scheme with a time-varying threshold, based on a tracking error and adaptive parameters, is developed. The tracking error is steered to converge to a bounded set with the help of a predefined performance function, and its transient performance is improved despite of faults. The stability of the closed-loop system is analyzed by the theorem of the input-to-state practically stability, and the Zeno behavior is excluded. Finally, two examples are given to illustrate the effectiveness of the proposed scheme.