多速率随机系统的远程预测控制研究

Multirate stochastic systems are a class of very important and complicate systems, which model many hybrid systems with stochastic factors. Predictive control is extensively applied to petroleum fields, chemical fields and aviation and space fields. For present, the study on the stability analysis and synthesis for multirate stochastic systems on with networked predictive control for is a hot spot of the system science and control science. Thus, it is of great theoretical and practical significance that research on the multirate stochastic systems. For It?o stochastic systems, Markovian jump systems and other stochastic systems, different multrate stochastic systems are established. Firstly, the problems of stability analysis, performance synthesis and predictive controller design are investigated for the above systems. Furthermore, the problems of some kinds of restriction, for instance communication restriction, input and output restriction, uncertainties and noise disturb and so on, are investigated when considered limit communications. Then the closed-loop system under is whole modeled multirate stochastic systems with predictive control under networked restrictions. Based on this, the problems of stability analysis, performance synthesis and predictive controller design are investigated for different kinds of multirate stochastic systems. Finally, under the case that there are the process control facilities in University laboratory, some of the obtained results will be applied to networked water tanks control systems for liquid level.

多速率随机系统是一类非常重要的复杂系统，其是对很多具有随机特性以及大规模混杂系统进行有效建模的重要工具。预测控制在石油、化工以及航空航天领域具有广泛的应用。研究多速率随机系统的远程预测控制的稳定性分析和综合理论是系统与控制领域的前沿课题，具有重要的理论意义和应用前景。本项目针对伊藤随机方程、Markovian跳跃系统及其它带有随机因素的系统，建立不同的多速率随机模型，首先研究多速率随机系统稳定性分析、性能综合及预测控制器设计问题。其次进一步研究在通讯受限情形下，各种影响系统特性的约束问题，如通讯约束、输入输出约束、不确定性、噪声干扰等，将闭环系统整合为网络环境约束下基于预测控制的多速率随机系统形式。在此基础上，分析不同网络化多速率随机系统稳定性分析、性能综合及预测控制器设计问题。最后，结合学校的实验室设备，将所取得的部分理论成果应用到网络化水箱液位控制系统中去。

本项目重点研究了多速率随机系统的远程预测控制问题。首先针对伊藤随机方程和 Markovian 跳跃系统，建立了不同的多速率随机模型。提出了多速率随机系统稳定性分析、性能综合及模型预测控制器设计方法。其次进一步考虑了在通讯受限情形下，各种影响系统特性的约束问题，如通讯约束、输入约束、不确定性和噪声干扰等，将闭环系统整合为网络环境约束下基于预测控制的多速率随机系统形式。在此基础上，分析了不同网络化多速率随机系统稳定性分析、性能综合及模型预测控制器设计问题。此外，提出了网络化随机系统具有闭环系统H∞性能指标约束的基于观测器的输出反馈控制器的设计方法。最后，将所取得的部分理论成果应用到网络化水箱液位控制系统中去。