Decentralized adaptive control for large-scale time-delay systems with dead-zone input

• Published in: Automatica (Oxford) Vol. 44; no. 7; pp. 1790 - 1799
• Main Author: Zhou, Jing
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.07.2008; Elsevier
• Subjects: Adaptative systems; Applied sciences; Backstepping; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Dead-zone; Decentralized control; Exact sciences and technology; Interconnected systems; System theory; Time-delay; Time-delay; Backstepping; Decentralized control; Dead-zone; Interconnected systems; Transient response; Control program; Interconnected power system; Control synthesis; Dead zone; Output signal; Delay system; Recursive algorithm; Adaptive control; Transients; Backstepping control; Robust control; Time varying system; Model reference adaptive control systems; Delay time; System identification; Lyapunov function; Large scale system
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2007.10.037

In this paper, a decentralized adaptive control scheme is proposed to address output tracking of a class of interconnected time-delay subsystems with the input of each loop preceded by an unknown dead-zone. Each local controller is designed using the backstepping technique and consists of a new robust control law and new updating laws. Unknown time-varying delays are compensated by using appropriate Lyapunov–Krasovskii functionals. Furthermore, by introducing a new smooth dead-zone inverse, the proposed backstepping design is able to eliminate the effects resulting from dead-zone nonlinearities in the input. It is shown that the proposed controller can guarantee not only stability, but also good transient performance.