Adaptive H∞ finite-time boundedness control for a set of nonlinear singular Hamiltonian systems
Shuhua He
Liying Sun
Renming Yang
Abstract：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.
Keywords：Nonlinear singular Hamiltonian systemFinite-time boundednessAdaptive H∞ control
Publication Date：2025-12-30
Online Publishing Date：2026-01-09(First online date of this platform, not the publication date of the document)
Pages：9( 663-671 )