Active control for a flexible beam with nonlinear hysteresis and time delay  

作　　者：Kun Liu Longxiang Chen Guoping Cai 

机构地区：[1]Department of Engineering Mechanics,Shanghai Jiaotong University [2]State Key Laboratory of Ocean Engineering,Shanghai Jiaotong University

出　　处：《Theoretical & Applied Mechanics Letters》2013年第6期29-34,共6页力学快报（英文版）

基　　金：supported by the Key Project(11132001);the General Projects of Natural Science Foundation of China(11072146,11272202,and 11002087);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20110073110008)

摘　　要：A new active control method is presented to attenuate vibrations of a flexible beam with nonlinear hysteresis and time delay. The nonlinear and hysteretic behavior of the system is illustrated by the Bouc-Wen model. By specific transformation and augmentation of state parameters, we can convert the motion equation of the system with explicit time delay to the standard state space representation without any explicit time delay. Then the instantaneous optimal control method and Runge-Kutta method in fourth-order are applied to the controller design with time delay. Finally, in order to verify the effectivity of the time-delay controller proposed, numerical simulations are implemented. It is indicated by the simulation results that the control performance will deteriorate if neglect the time delay in process of the controller design and proposed time delay controller works well with both small and large time delay problems.A new active control method is presented to attenuate vibrations of a flexible beam with nonlinear hysteresis and time delay. The nonlinear and hysteretic behavior of the system is illustrated by the Bouc-Wen model. By specific transformation and augmentation of state parameters, we can convert the motion equation of the system with explicit time delay to the standard state space representation without any explicit time delay. Then the instantaneous optimal control method and Runge-Kutta method in fourth-order are applied to the controller design with time delay. Finally, in order to verify the effectivity of the time-delay controller proposed, numerical simulations are implemented. It is indicated by the simulation results that the control performance will deteriorate if neglect the time delay in process of the controller design and proposed time delay controller works well with both small and large time delay problems.

关 键 词：nonlinear and hysteresis structure active control time delay 

分 类 号：O231[理学—运筹学与控制论]