Adaptive set-point regulation of discrete-time nonlinear systems

• Published in: International journal of adaptive control and signal processing Vol. 30; no. 4; pp. 599 - 607
• Main Author: Hanba, Shigeru
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.04.2016; Wiley Subscription Services, Inc
• Subjects: Adaptive control systems; adaptive set-point regulation; Adaptive systems; Construction; Control; Controllers; discrete-time nonlinear systems; Dynamical systems; Mathematical analysis; Nonlinear dynamics; persistent excitation
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.2601

Summary In this paper, adaptive set‐point regulation controllers for discrete‐time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the parameter estimate. The proposed controller belongs to the category of indirect adaptive controllers, and its construction is based on the policy of calculating the control input rather than that of obtaining a control law. The proposed method solves the adaptive set‐point regulation problem under the assumption that the target state is reachable for each fixed parameter value. Additional feature of the proposed method is that Lyapunov‐like functions have not been used in the construction of the controllers. Copyright © 2015 John Wiley & Sons, Ltd.