NONLINEAR OPTIMAL CONTROL OF RANDOMLY BASE-EXCITED DUFFING OSCILLATORS

摘要：

A non-linear optimal control strategy for randomly base-excited Duffing oscillators is developed in the context of physical stochastic optimal control of structures by integrating the classical scheme of optimal polynomial control. A family of hardening Duffing oscillators with varying levels of nonlinearities is investigated for illustrative purposes. Numerical results indicate that the statistical variability of system responses gains an obvious reduction,and the system performance improves significantly employing the designed polynomial controller. Using the control criterion,meanwhile,with the minimum of the exceedance probability of system quantities in energy trade-off sense,a lst-order controller suffices even for strongly nonlinear systems. This bypasses the need to utilize non-linear controllers which may be associated with dynamical instabilities due to time delay and computational dynamics.

作者: Yongbo Peng Jie Li

作者单位: State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,Ch State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,Ch

会议类型: 国际会议

会议名称: The International Symposium on Innovation & Sustainability of Structures in Civil Engineering(2011年土木工程结构创新与可持续发展国际会议)

会议地点: 厦门

会议语种:英文

页码: 1384-1390

在线出版日期: 2011-10-28（万方平台首次上网日期，不代表论文的发表时间）