A dynamic compensator for in-domain control of Burgers' equation. Issue 7 (3rd July 2021)

• Record Type: Journal Article
• Authors: Yang, Kaijun; Zhu, Guchuan
• Is Part Of: International journal of control. Volume 94:Issue 7(2021)
• Page Start: 1920
• Page End: 1930
• Publication Date: 2021-07-03
• Subjects: Burgers' equation -- nonlinear feedback control -- dynamic compensator -- Adomian decomposition method -- differential flatness; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2019.1686178
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract : This paper addresses the problem of output regulation control of a Burgers' equation under pointwise in-domain actuation. A dynamic compensator that generates the in-domain control is developed for output regulation of the considered system. A nonlinear boundary feedback control is used to ensure the closed-loop stability of the Burgers' equation. The proposed control scheme is implemented by means of Adomian decomposition method and flatness-based trajectory planning. A numerical simulation study is carried out, and the obtained results demonstrate the efficiency and effectivity of the proposed approach.