满意待机控制

项目名称： 满意待机控制

项目编号： No.60804019

项目类型： 青年科学基金项目

立项/批准年度： 2009

项目学科： 金属学与金属工艺

项目作者： 李银伢

作者单位： 南京理工大学

项目金额： 18万元

中文摘要： 满意待机控制考虑被控量的理想值由空间的一个动点扩展为一个目的域，由此引出全新的待机控制特征量指标，如待机时间、滞留时间、穿越频率等，确定控制策略，使待机控制特征量指标的统计或概率特征量满足给定的指标。期望指标集还可包含诸如快速性、准确性和鲁棒性这类常规性能指标。主要研究内容有：(1) 包含待机控制特征量指标的期望指标集的相容性分析；(2) 当期望指标集相容时，相应的待机控制策略的求解理论与方法。本项目以正态平稳随机信号作用下的线性系统为主要研究对象，归纳并总结了待机控制的特征量指标，并结合实际工程指标需求，从理论上提炼出了待机控制中二个重要指标-首次待机时间和首发命中概率，对待机控制中一系列新概念给予了明确的无二义的数学描述；结合兵器伺服控制系统设计的实用性要求，建立了包括状态反馈、输出反馈、PID控制在内的待机控制策略在期望指标集约束下的存在性分析理论与方法，以及当期望指标集相容时相应待机控制策略的求解技术。本项目构建了"满意待机控制"的理论框架，为随机控制系统理论拓展一个新的研究领域，可以为含有待机控制指标的实际系统的分析、设计和优化提供理论支撑和技术支持。

中文关键词： 待机控制；待机时间；滞留时间；满意控制；随机控制

英文摘要： In satisfactory opportunity-awaiting control, the ideal value of the output to be controlled is extented from a moving point to a target area. Then, several new opportunity-awaiting control characteristic indices, such as opportunity-awaiting time, residence time, crossover freqency, etc., are definited. The satisfactory opportunity-awaiting control is dedicated to determining the control strategy and guarantee the above statistic or probability characteristic quantities satisfying the given indices. The desired performance indices of opportunity-awaitingcontrol may consist of the traditional performance indices of the swiftness, accuracy and robustness. The main research contents are (1) the consistency analysis of the desired performance indices including the opportunity-awaiting control characteristic indices, and (2) the theroy and approach for designing opportunity-awaiting control strategies when the above desired performance indices are consistent. The linear systems which the input is the stationary normal distribution signal are considered in the project. First, the opportunity-awaiting control characteristic indices are collected and reviewed. Then, for the consideration of the practical engineering demands, two important indecies, the first success opportunity-awaiting time and the first hit probability, are refined and proposed in theory in opportunity-awaiting control, and a series of new concepts are formulated clearly and explicitly. Third, for the considerration of the practical demands in weapon servo systems, the theory and method of the existence of opportunity-awaiting control strategies including state feedback, output feedback and PID control under the constraints of desired performance indices, and the corresponding tecniques of solving the control strategies when all desired performance indices are consistent. The theoretical framework of satisfacory opportunity-awaiting control has been constructed, and a new study field in stochastic control theory has been opened up in this project. The project can provide theory and technique supports for the analysis,design and optimization of practical systems which contain the opportunity-awaiting control performance indices constraints.

英文关键词： opportunity-awaiting control; opportunity-waitingtime; residence time; satisfactory control; stochastic control