Universal stabilisation design for general non‐linear systems under wave partial differential equation actuator dynamics with time‐varying moving boundary. Issue 3 (1st February 2016)

• Record Type: Journal Article
• Authors: Cai, Xiushan; Lin, Yuhang; Zhang, Junfeng
• Is Part Of: IET control theory & applications. Volume 10:Issue 3(2016)
• Page Start: 253
• Page End: 264
• Publication Date: 2016-02-01
• Subjects: nonlinear control systems -- control system synthesis -- asymptotic stability -- partial differential equations -- time‐varying systems -- actuators -- control nonlinearities; universal stabilisation design -- general nonlinear system -- wave partial differential equation actuator dynamics -- control law design -- infinite dimensional backstepping transformation -- passivity‐based synthesis approach -- wave actuator dynamics -- asymptotical stabilisation -- time‐varying moving boundary; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0652
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : A universal stabilisation formula is presented for globally (or locally) asymptotical stabilisation for general non‐linear systems governed by wave actuator dynamics with time‐varying moving boundary in this study. Stability analysis is developed with passivity‐based synthesis approach and infinite‐dimensional backstepping transformations. Under the backstepping transformations and the control law design, the original system is transferred to the target system. Then the authors prove that the target system is asymptotical stable. Moreover, it is shown that the stability of the original system is equivalent to that of the target system. Finally, three examples are given to illustrate the effectiveness of the proposed design technique.