Unified preassigned performance-guaranteed tracking control for systems with unknown control direction

• Published in: Journal of the Franklin Institute Vol. 361; no. 9; p. 106846
• Main Authors: Dong, Minzhou, Xu, Xinkai, Xie, Feng
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.06.2024
• Subjects: Asymptotic stability; Finite-time stability; Hypersonic vehicles; Preassigned performance control; Unknown control direction; Asymptotic stability; Finite-time stability; Unknown control direction; Preassigned performance control; Hypersonic vehicles
• ISSN: 0016-0032; 1879-2693
• DOI: 10.1016/j.jfranklin.2024.106846

This paper suggests a unified tracking control scheme for systems suffering from unknown control direction and preassigned performance requirement. Distinguished from the existing Nussbaum function-based control methods, the presented approach achieves a unified control framework that encompasses the asymptotic or finite-time stability by introducing sliding mode technique when the nonlinear systems suffer from the unknown control direction issue. Two kinds of stabilities can be obtained only via choosing specific functions. Moreover, the suggested control approach can also deal with the changing of control direction. The stability is analyzed, and the total method rigorously guarantees the tracking errors’ required performance criterion. The simulation results of the second order inverted pendulum model serve as verification of the proposed method. Furthermore, as an alternative application scenario, the attitude tracking issue of hypersonic vehicles is dealt with by the presented method subjected with the time-varying control coefficient. •The proposed approach achieves a unified control framework under the unknown control direction.•The control approach rigorously guarantees the tracking errors’ required performance.•The simulation results serve as verification of the proposed method.