Adaptive H∞ Control of Time-Delay Hamiltonian Systems with Parametric Uncertainties and Disturbances
This paper addresses the adaptive H∞ control problem for a class of time-varying delay Hamiltonian systems with uncertainties and unknown disturbances. The uncertainties under consideration are some small parameter perturbations involved in the structure of the Hamiltonian system. In order to construct an adaptive H∞ controller, the case that there is no perturbations in the system are studied firstly and a controller is designed which ensure the asymptotic stability and the L2 gain performance of the resulted closed-loop system. Then the adaptive H∞ control problem is solved under some sufficient conditions. It is shown that the control law with desired L2 gain from the disturbance to a penalty signal can be obtained by using the Lyapunov- Krasovskii method. Finally, an example is given to demonstrate the proposed results.
Hamiltonian systems Time-Delay H∞ control Uncertainties
Weiwei Sun Pan Wang Guochen Pang
Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
3075-3080
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）