Open AccessMemristor‐based disturbance rejection control for port‐Hamiltonian systems with locally fixed‐time convergence
Author(s) -
Liu Xinggui,
Zhao Mei
Publication year - 2022
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12307
Subject(s) - memristor , passivity , control theory (sociology) , interconnection , settling time , hamiltonian system , hamiltonian (control theory) , fixed point , equilibrium point , computer science , mathematics , control engineering , control (management) , engineering , mathematical optimization , differential equation , mathematical analysis , electronic engineering , artificial intelligence , step response , computer network , electrical engineering
The memristor is added to the port‐Hamiltonian systems to improve the disturbance suppression performance in this paper. The concepts of locally fixed‐time stability and locally fixed‐timeH ∞ $H_{\infty }$ control of port‐Hamiltonian systems are presented. From this starting point, two novel memristor‐based locally fixed‐time controllers are designed to suppress the external disturbance of port‐Hamiltonian systems via the interconnection and damping assignment passivity‐based control technique. Comparing with the classical interconnection and damping assignment passivity‐based control methodology without memristor, there are some advantages. First, the settling‐time related to the memristor‐based controllers in stabilizing the same port‐Hamiltonian systems are shorter. Second, the memristor‐based controllers can make the oscillation in the case of the strong periodic disturbance be better suppressed. Theoretical analysis shows that the memristor‐based controller possesses good disturbance rejection performance owing to it can make the system states in a neighbourhood accelerate convergence to the desired equilibrium point. Two illustrative examples show that the theoretical results and the controllers designed in this paper work very well.