Lyapunov-Bregman functions for speed-gradient adaptive control of nonlinear time-varying systems. Issue 12 (2022)

• Record Type: Journal Article
• Authors: Fradkov, Alexander
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 12(2022)
• Page Start: 544
• Page End: 548
• Publication Date: 2022
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.07.368
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The paper is devoted to application of Bregman divergence to nonlinear adaptive control. Using Bregman divergence instead of quadratic function leads to a new class of Lyapunov functions in adaptive control that can be called Lyapunov-Bregman functions. An extended control algorithms design scheme is proposed and the properties of the designed control systems in presence of disturbances and time-varying parameters are studied. A special case of model reference adaptive control for nonlinear time-varying systems is studied based on the speed-gradient methodology.