随机时滞系统的有限时间随机性能优化与设计

项目名称： 随机时滞系统的有限时间随机性能优化与设计

项目编号： No.61473213

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 自动化技术、计算机技术

项目作者： 陈贵词

作者单位： 武汉科技大学

项目金额： 80万元

中文摘要： 由于有限时间控制响应速度快，跟踪精度高，抗干扰性强等优点，随机系统有限时间稳定与控制已成为当前研究热点。本项目以随机时滞系统为研究对象,研究随机有限时间稳定与镇定，重点研究有限时间的随机性能优化与设计问题。首先,基于推广的KL函数形式有限时间稳定性定义,克服随机和时滞因素影响,建立随机时滞系统有限时间性能优化指标,包括有限时间随机耗散,无源等定义。然后,以Lyapunov随机有限时间稳定性理论为基础,克服随机与时滞的影响,以体现随机时滞系统特色、减少时滞的保守性为追求目标,建立线性随机时滞系统有限时间随机性能优化控制理论。进而,考虑随机时滞系统受到未知参数和非线性扰动等影响，设计状态反馈控制器、随机动态反馈控制器、滤波器等使系统满足有限时间随机性能优化指标。最后将上述理论与方法应用到Ito型随机复杂网络的有限时间性能优化与设计中。本项目旨在拓广随机时滞系统理论,为该研究提供新的途径与方法。

中文关键词： 随机系统；时滞系统；有限时间鲁棒控制；滤波器设计

英文摘要： Because of the high speed of response, the more tracking accuracy and the strength anti-interference etc., The finite-time stability and control problems for stochastic systems has been the current research hotspots.The stochastic finite-time stability and stabilization problems for stochastic time-delay systems are deeply studied, and the finite-time stochastic performance optimization and design problems, which are also the most important research problems, for stochastic time-delay systems are studied in this project. Firstly, based on the finite-time stability definition in the form of generalized KL functions, overcoming the effects of random factors and time-delay factors, the finite-time performance optimization index for stochastic time-delay systems including the definition of finite-time stochastic dissipativity and finite-time stochastic passivity are established. Then, On the basis of Lyapunov stochastic finite-time stability theorem, overcoming the effects of random factors and time-delay factors, the control theory of finite-time stochastic performance optimization for linear stochastic time-delay systems is developed in order that less time-delay conservativeness and more features on randomness are implied. And then, with the consideration of unknown parameters and nonlinear perturbances for stochastic time-delay systems, the state-feedback controller, stochastic dynamic output feedback controller and filter, which make the corresponding closed-loop control systems satisfying finite-time stochastic performance optimization index, are designed. Finally, we will apply the above theorems and approaches to the finite-time performance optimization and design for Ito type stochastic complex networks. The aim of this project is expanding the stochastic time-delay systems theory, and proposing the novel ways and approaches for this researches.

英文关键词： stochastic system;time-delay system;finite-time robust control;filter design