Adaptive boundary stabilization for first‐order hyperbolic PDEs with unknown spatially varying parameter. (13th March 2015)

• Record Type: Journal Article
• Authors: Xu, Zaihua; Liu, Yungang
• Is Part Of: International journal of robust and nonlinear control. Volume 26:Number 3(2016)
• Page Start: 613
• Page End: 628
• Publication Date: 2015-03-13
• Subjects: first‐order hyperbolic PDEs -- spatially varying parameter -- adaptive stabilization -- infinite‐dimensional backstepping; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3331
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: The adaptive boundary stabilization is investigated for a class of systems described by first‐order hyperbolic PDEs with unknown spatially varying parameter. Towards the system unknowns, a dynamic compensation is first given by using infinite‐dimensional backstepping method, adaptive techniques, and projection operator. Then an adaptive controller is constructed by certainty equivalence principle, which can stabilize the original system in a certain sense. Moreover, the effectiveness of the proposed method is illustrated by a simulation example. Copyright © 2015 John Wiley & Sons, Ltd.