Finite-time boundedness of uncertain Hamiltonian systems via sliding mode control approach
This paper seeks to address the problem of finite-time stabilization for a class of uncertain Hamiltonian systems via sliding mode control approach. A novel sliding function in connection with the state and energy function of the considered system is constructed, and then, a suitable controller is d...
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| Veröffentlicht in: | Nonlinear dynamics 2021-03, Vol.104 (1), p.497-507 |
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| creator | Lv, Xinyu Niu, Yugang Song, Jun |
| description | This paper seeks to address the problem of finite-time stabilization for a class of uncertain Hamiltonian systems via sliding mode control approach. A novel sliding function in connection with the state and energy function of the considered system is constructed, and then, a suitable controller is designed to drive the state trajectories onto the specified sliding surface before the given finite-time. Moreover, the finite-time boundedness of the closed-loop system over both reaching phase and sliding motion phase are analyzed and the corresponding conditions are obtained. Furthermore, two optimization problems are formed to enhance the performance of finite-time boundedness, which will be solved via genetic optimization algorithm. Finally, a simulation example is provided to illustrate the proposed control strategy. |
| doi_str_mv | 10.1007/s11071-021-06292-8 |
| format | Article |
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| subjects | Algorithms Automotive Engineering Classical Mechanics Control Control systems design Dynamical Systems Engineering Feedback control Hamiltonian functions Mechanical Engineering Optimization Original Paper Sliding mode control Vibration |
| title | Finite-time boundedness of uncertain Hamiltonian systems via sliding mode control approach |
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