Output regulation boundary control of first-order coupled linear MIMO hyperbolic PIDE systems. Issue 3 (3rd March 2020)

• Record Type: Journal Article
• Authors: Xu, Xiaodong; Dubljevic, Stevan
• Is Part Of: International journal of control. Volume 93:Issue 3(2020)
• Page Start: 410
• Page End: 423
• Publication Date: 2020-03-03
• Subjects: MIMO hyperbolic PIDE systems -- volterra-type integral transformation -- state feedback regulator -- output-feedback regulator -- boundary control -- boundary observer; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2018.1475749
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: The work addresses the output regulation problem for coupled linear multiple input multiple output (MIMO) hyperbolic partial integro-differential equation systems with disturbances affecting the systems through the space and boundary input. The exosystems are extended to generate ramp signals and general family of polynomial signals. The system decomposition is applied through the state transformation and yields a decoupled equivalent system. Based on the decoupled form, the backstepping transformation is applied and then in the new coordinate, the full state and output-feedback regulators are designed, respectively. For the state feedback regulator, the corresponding regulator equation is obtained and its solvability conditions are provided to facilitate the regulator design and feasibility. The design of observer-based regulator is based on the decoupling of the observer error system into a PDE subsystem and an ODE subsystem so that the backstepping approach achieves stabilisation by eigenvalue assignment leading to design of observer stabilizing gains.