Switching strategy in tracking constant references for linear time-varying delay systems with actuator failures. Issue 8 (3rd August 2019)

• Record Type: Journal Article
• Authors: Li, Qing-Kui; Dimirovski, Georgi M.; Fu, Jun; Wang, Jiuhe
• Is Part Of: International journal of control. Volume 92:Issue 8(2019)
• Page Start: 1870
• Page End: 1882
• Publication Date: 2019-08-03
• Subjects: Tracking control -- time-varying delay -- switching systems -- polytopic technique; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2017.1415464
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: Tracking of command constant references is a tracking control problem of fundamental importance. This problem for linear time-varying delay systems in the presence of actuator failures is solved in this article. The linear time-varying delay system with actuator failures is modelled as a switched linear time-varying delay system by utilising switching systems theory and a suitable control scheme. The polytopic technique is employed in order to cope with the time-varying, delay-derivative term in case its absolute value might exceed one. On the grounds of the average dwell-time approach, a switching tracking control law that is immune to actuator failures is designed and the conditions are derived such that the output of the linear time-varying delay system tracks given constant command references. Two illustrative examples along with the respective numerical and simulation results are presented to demonstrate the effectiveness of the proposed method.