项目名称: 随机跳跃系统的分析与综合
项目编号: No.61273122
项目类型: 面上项目
立项/批准年度: 2013
项目学科: 自动化技术、计算机技术
项目作者: 黄鹤
作者单位: 苏州大学
项目金额: 79万元
中文摘要: 随机跳跃系统的有限时间稳定性分析与综合的研究具有重要的理论意义和应用前景。本项目将研究马尔科夫跳跃系统和半马尔科夫跳跃系统的分析与综合问题。主要目标是解决以下问题:(1)马尔科夫跳跃系统的有限时间稳定性分析与综合,(2)马尔科夫跳跃系统的有限时间状态估计,(3)模态转换统计信息不完全已知的马尔科夫跳跃系统的有限时间稳定性分析与综合,(4)在(1)-(3)的基础上,我们研究更一般的半马尔科夫跳跃系统的有限时间稳定性分析与综合问题。通过有效运用和改进随机分析理论、现代控制技术如鲁棒控制、滑模控制、自适应控制与高增益理论和凸优化理论,我们将建立一些易于验证的稳定性条件和设计准则。同时,我们将提出新的方法来显著地降低现有时滞马尔科夫跳跃系统的稳定性判据的保守性。最后,研究得到的理论成果将应用到网络控制中。本项目得到的理论成果将进一步发展和完善随机跳跃系统分析理论,并为其在工程上的应用提供科学依据。
中文关键词: 马尔科夫跳跃系统;有限时间稳定性;有限时间状态估计;模糊积分滑模控制;滤波器设计
英文摘要: It is of great significance and practical interest to investigate the finite-time stability analysis and synthesis of stochastic jump systems. This project is concerned with the analysis and synthesis of Markovian jump systems and semi-Markovian jump systems. Its main objectives are to deal with the following problems: (i) the finite-time stability analysis and synthesis of Markovian jump systems; (ii) the finite-time state estimation of Markovian jump systems; (iii) the finite-time stability analysis and synthesis of Markovian jump systems with defective statistics of transition probability; (iv) based on the study of (i)-(iii), the finite-time stability analysis and synthesis will be investigated for semi-Markovian jump systems, which are more general than Markoivan jump systems. By effectively employing and improving the stochastic analysis theory, modern control techniques including robust control, sliding mode control, adaptive control and high gain theory, and convex optimization theory, some stability conditions and design criteria will be established, which can be easily checked in practice. At the same time, some novel approaches will be proposed to remarkably reduce the conservatism of the existing stability results of Markovian jump systems with time delays. Finally, the developed theory will be appli
英文关键词: Markvoian jump systems;Finite-time stability;Finite-time state estimation;Fuzzy integral sliding mode control;Filter design