Linear Matrix Inequality Design of Exponentially Stabilizing Observer-Based State Feedback Port-Hamiltonian Controllers

• 成果类型: Article
• 署名作者: Zucco, Jesus Pablo Toledo; Ramirez, Hector; Wu, Yongxin; Le Gorrec, Yann
• 署名单位: National Office for Aerospace Studies & Research (ONERA); Universidad Tecnica Federico Santa Maria; Universite Marie et Louis Pasteur; Universite de Technologie de Belfort-Montbeliard (UTBM); Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3227927
• 发表日期: 2023
• 页码: 6184-6191
• 关键词: Boundary control systems; linear matrix inequality; Luenberger observer; Nonlinear systems; port-Hamiltonian systems (PHS); State feedback

摘要

The design of an observer-based state feedback controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). The observer gain is freely chosen and the LMIs conditions such that the state feedback is equivalent to control by interconnection with an input strictly passive and/or an output strictly passive and zero-state detectable port-Hamiltonian controller are established. It is shown that the proposed controller exponentially stabilizes a class of infinite-dimensional PHS and asymptotically stabilizes a class of finite-dimensional nonlinear PHS. A Timoshenko beam model and a microelectromechanical system are used to illustrate the proposed approach.