The problem of robust active vibration control for a class of electro-hydraulic actuated structural systems with time-delay in the control input channel and parameter uncertainties appearing in all the mass, damping a...The problem of robust active vibration control for a class of electro-hydraulic actuated structural systems with time-delay in the control input channel and parameter uncertainties appearing in all the mass, damping and stiffness matrices is investigated in this paper. First, by introducing a linear varying parameter, the nonlinear system is described as a linear parameter varying (LPV) model. Second, based on this LPV model, an LMI-based condition for the system to be asymptotically stabilized is deduced. By solving these LMIs, a parameter-dependent controller is established for the closed- loop system to be stable with a prescribed level of disturbance attenuation. The condition is also extended to the uncertain case. Finally, some numerical simulations demonstrate the satisfying performance of the proposed controller.展开更多
The problem of active vibration control for uncertain linear structural systems with control forces input timedelay is investigated in this study.First,the original structural equation is converted to a state-space mo...The problem of active vibration control for uncertain linear structural systems with control forces input timedelay is investigated in this study.First,the original structural equation is converted to a state-space model by utilizing the matrix transformation.Second,according to the obtained model and a special Lyapunov functional,a sufficient condition is achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation.Then,in terms of solving these linear matrix inequalities(LMIs),the state-feed controller is achieved to stabilize the structural system with the performance ‖z‖2<γ‖ω‖2.Third,by introducing the rank-1 vector to describe the system uncertainties,the uncertain system description is obtained,and the stabilizing condition is extended to the uncertain case.Finally,examples are given to show the effectiveness of the proposed methods.展开更多
基金National Natural Science Foundation Under Grant No.61074045,60721062the 973 Program 2006CB705400 of China
文摘The problem of robust active vibration control for a class of electro-hydraulic actuated structural systems with time-delay in the control input channel and parameter uncertainties appearing in all the mass, damping and stiffness matrices is investigated in this paper. First, by introducing a linear varying parameter, the nonlinear system is described as a linear parameter varying (LPV) model. Second, based on this LPV model, an LMI-based condition for the system to be asymptotically stabilized is deduced. By solving these LMIs, a parameter-dependent controller is established for the closed- loop system to be stable with a prescribed level of disturbance attenuation. The condition is also extended to the uncertain case. Finally, some numerical simulations demonstrate the satisfying performance of the proposed controller.
基金National Natural Science Foundation under Grant No.61305019&51365017Jiangxi Provincial Natural Science Foundation under Grant No.GJJ13430&GJJ13385the Natural Science Foundation of Jiangxi University of Science and Technology of China under Grant No.NSFJ2014-K16
文摘The problem of active vibration control for uncertain linear structural systems with control forces input timedelay is investigated in this study.First,the original structural equation is converted to a state-space model by utilizing the matrix transformation.Second,according to the obtained model and a special Lyapunov functional,a sufficient condition is achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation.Then,in terms of solving these linear matrix inequalities(LMIs),the state-feed controller is achieved to stabilize the structural system with the performance ‖z‖2<γ‖ω‖2.Third,by introducing the rank-1 vector to describe the system uncertainties,the uncertain system description is obtained,and the stabilizing condition is extended to the uncertain case.Finally,examples are given to show the effectiveness of the proposed methods.