Adaptive <i>H</i><sub>∞</sub> Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Pan Wang; Wei-Wei Sun

doi:10.1007/s11633-014-0802-9

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

doi: 10.1007/s11633-014-0802-9

Pan Wang¹,
Wei-Wei Sun^1,2, ,

Institute of Automation, Qufu Normal University, Qufu 273165, China;
School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

基金项目:

This work was supported by National Natural Science Foundation of China (No. 61203013, No. 51107073), and the Outstanding Middleage and Young Scientist Award Foundation of Shandong Province (No.BS2011DX012).

详细信息

作者简介:
Pan Wang graduated from the Binzhou University, China in 2010 and received her M. Sc. degree from the Qufu Normal University, China in 2013. She is currently a Ph. D. student at School of Automation, Southeast University. Her research interests include stability analysis and control design of time-delay nonlinear systems. E-mail: panwangqf@126.com

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Pan Wang¹,
Wei-Wei Sun^{1,2
, ,}

Institute of Automation, Qufu Normal University, Qufu 273165, China;
School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

Funds:

摘要: This paper addresses the adaptive H_∞ control problem for a class of nonlinear Hamiltonian systems with time delay and parametric uncertainties. The uncertainties under consideration are some small parameter perturbations involved in the structure of the Hamiltonian system. Both delay-independent and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii functional approach. In order to construct the adaptive H_∞ controller, the situation that the parameter perturbation is inexistent in the system is also studied and the controller is designed. The adaptive H_∞ control problem is solved under some sufficient conditions which ensure the asymptotic stability and the L₂ gain performance of the resulted closed-loop system. Numerical example is given to illustrate the applicability of the theoretical results.
- Nonlinear Hamiltonian systems /
- time delay /
- H_∞ control /
- uncertainties /
- Lyapunov-Krasovskii function
Abstract: This paper addresses the adaptive H_∞ control problem for a class of nonlinear Hamiltonian systems with time delay and parametric uncertainties. The uncertainties under consideration are some small parameter perturbations involved in the structure of the Hamiltonian system. Both delay-independent and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii functional approach. In order to construct the adaptive H_∞ controller, the situation that the parameter perturbation is inexistent in the system is also studied and the controller is designed. The adaptive H_∞ control problem is solved under some sufficient conditions which ensure the asymptotic stability and the L₂ gain performance of the resulted closed-loop system. Numerical example is given to illustrate the applicability of the theoretical results.
- Nonlinear Hamiltonian systems /
- time delay /
- H_∞ control /
- uncertainties /
- Lyapunov-Krasovskii function

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Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

doi: 10.1007/s11633-014-0802-9

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

计量

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

doi: 10.1007/s11633-014-0802-9

Institute of Automation, Qufu Normal University, Qufu 273165, China;

School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

English Abstract

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Institute of Automation, Qufu Normal University, Qufu 273165, China;

School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

全文HTML

目录

Adaptive H∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

doi: 10.1007/s11633-014-0802-9

Adaptive H∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

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出版历程

Adaptive H∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

doi: 10.1007/s11633-014-0802-9

Institute of Automation, Qufu Normal University, Qufu 273165, China; School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

English Abstract

Adaptive H∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Institute of Automation, Qufu Normal University, Qufu 273165, China; School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

全文HTML

目录

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Institute of Automation, Qufu Normal University, Qufu 273165, China;

School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China

Adaptive H_∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Institute of Automation, Qufu Normal University, Qufu 273165, China;

School of Electrical Information and Automation, Qufu Normal University, Rizhao 276826, China