Finite-time feedback stabilization of a class of input-delay systems with saturating actuators via digital control

• Published in: IEEE/CAA journal of automatica sinica Vol. 6; no. 5; pp. 1281 - 1290
• Main Authors: Lin, Xiangze, Huang, Shuaiting, Zhang, Wanli, Li, Shihua
• Format: Journal Article
• Language: English
• Published: Piscataway Chinese Association of Automation (CAA) 01.09.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Asymptotic stability; Control systems design; Delay; Digital control; Feedback control; Power system stability; Stability analysis; State feedback; Sufficient conditions
• ISSN: 2329-9266; 2329-9274
• DOI: 10.1109/JAS.2019.1911525

In this paper, the problem of making an input-delay system with saturating actuators finite-time stable by virtue of digital control is investigated. A digital state feedback controller and digital observer-controller compensator are designed for two cases: when the state of the input-delay system are available or when it is unavailable. Sufficient conditions which guarantee finite-time stability of a closed-loop input-delay system are given and the proof procedure is presented in a heuristic way by constructing appropriate comparison functions. The condition can be transformed into the intersection of two curves satisfying some constraints, which reveals the relationship between designed parameters clearly. Finally, simulation results are presented to validate the method proposed in this paper.