结构地震反应性态的物理随机最优控制  

Physical Stochastic Optimal Control of Seismic Performance of Base-Driven Structures

作　　者：彭勇波[1] 李杰[1] 

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《防灾减灾工程学报》2011年第5期483-489,共7页Journal of Disaster Prevention and Mitigation Engineering

基　　金：国家自然科学基金委创新研究群体科学基金项目(50621062);土木工程防灾国家重点实验室探索性研究课题(SLDRCE11-B-04);同济大学青年优秀人才培养行动计划项目(2010KJ065)资助

摘　　要：本研究发展了结构地震反应性态的随机最优控制理论和方法。这一研究建立在物理随机系统思想的新理论框架下,突破了以I^to随机微分方程描述动力系统的经典随机最优控制的藩篱。提出了基于系统二阶统计量评价、单目标超越概率和多目标能量均衡的控制器参数设计准则,以及基于概率可控指标的控制器位置设计准则,并将它们统一为物理随机最优控制的广义最优控制律。数值算例分析表明,本文发展的物理随机最优控制方法能够实现结构地震反应性态的精细化控制。A family of optimal control schemes for enhancing seismic performance of randomly base-driven structures is developed in this paper.Its principles are derived from the novel theoretical framework of physical stochastic systems,towards breaking through the barriers inherent in the classical stochastic optimal controls described by Ito[DD（-＊3/5]^ stochastic differential equations.Having this knowledge,we proposed three classes of probabilistic criteria associated with parameters of control devices,including the probabilistic criterion in conjunction with system statistics assessment,the probabilistic criterion in conjunction with the exceedance probability of single objective and the probabilistic criterion in conjunction with the energy trade-off of multiple objective.These criteria are logically integrated into the generalized optimal control policy with probabilistic criterion for optimal allocation of control devices based on probabilistic controllability index.Two cases of randomly base-driven structural systems,controlled by active tendons,are investigated for illustrative purposes.The numerical results reveal that the proposed methodology can implement the accurate control of seismic performance of base-driven structures.

关 键 词：随机最优控制 概率准则 广义最优控制律 能量均衡 随机地震动 

分 类 号：O232[理学—运筹学与控制论] TB114.2[理学—数学]