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		Shuhua He1,Liying Sun1,Renming Yang2.[en_title][J].Control Theory and Technology,2025,23(4):663~671.[Copy]

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Adaptive H∞ finite-time boundedness control for a set of nonlinear singular Hamiltonian systems
ShuhuaHe1,LiyingSun1,RenmingYang2
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(1 School of Business, Shanghai Dianji University, Shanghai 201306, China;2 School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China)

摘要:

The adaptive H∞ finite-time boundedness control problem is studied for a set of nonlinear singular Hamiltonian system (NSHS) in this article. Under an appropriate adaptive state feedback, the NSHS can be equivalently transformed into a differential-algebraic system. Next, it is proved that the state feedback can be used as an adaptive H∞ finite-time boundedness controller of NSHS. Finally, the effectiveness of the controller designed is verified by an illustrative example of a nonlinear singular circuit system.

关键词: Nonlinear singular Hamiltonian system · Finite-time boundedness · Adaptive H∞ control

DOI：https://doi.org/10.1007/s11768-025-00262-w

基金项目:This work was supported by the National Nature Science Foundation of China (61877028, 61773015).

Adaptive H∞ finite-time boundedness control for a set of nonlinear singular Hamiltonian systems

Shuhua He1,Liying Sun1,Renming Yang2

(1 School of Business, Shanghai Dianji University, Shanghai 201306, China;2 School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China)

Abstract:

Key words: Nonlinear singular Hamiltonian system · Finite-time boundedness · Adaptive H∞ control