LAPSE:2021.0796
Published Article
LAPSE:2021.0796
Adaptive State Feedback Stabilization of Generalized Hamiltonian Systems with Unstructured Components
Seyedabbas Alavi, Nicolas Hudon
October 21, 2021
This paper considers the problem of adaptive state feedback controller design for stabilizing the generalized Hamiltonian systems with unstructured components. This class of models enables one to exploit the dissipative-conservative structure of generalized Hamiltonian systems for feedback control design while relaxing the burden of deriving an exact structured model representation. First, an efficient adaptation law is designed such that a correct value of parameters is estimated. Assuming that the overall system is stabilizable, and under mild assumptions on the unstructured part of the dynamics, a stabilizing adaptive control law is designed to stabilize systems to the desired steady-state. The stability of the closed-loop system is demonstrated using Lyapunov stability arguments. A numerical illustration of the proposed approach is presented to demonstrate the potential of the design method.
Keywords
Adaptive stabilization, Hamiltonian system, Lyapunov stability, Parameter Estimation
Suggested Citation
Alavi S, Hudon N. Adaptive State Feedback Stabilization of Generalized Hamiltonian Systems with Unstructured Components. (2021). LAPSE:2021.0796
Author Affiliations
Alavi S: Queen’s University
Hudon N: Queen’s University
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Journal Name
CSChE Systems & Control Transactions
Volume
1
First Page
47
Last Page
51
Year
2021
Publication Date
2021-10-21
Version Comments
Original Submission
Other Meta
Proceedings of the Canadian Chemical Engineering Conference 2021, October 24-27, Montréal, Québec, Canada
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Oct 21, 2021
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CC BY-SA 4.0
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Oct 21, 2021
 
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