面向工程应用的非线性随机系统约束方差滤波与控制

Motivated by the modernization of weapon systems, aiming at the two key performance indices of fire control systems, i.e., precision and reliability, this project is concerned with the variance-constrained filtering and control problems for several classes of classical nonlinear stochastic systems. Considering the time-delay, incomplete measurements, equipment failures caused by the fire control network and severe working conditions, this project firstly establishes the mathematical model of fire control systems which could better reflect the real-world engineering practice than traditional ones. Secondly, by resorting to matrix theory, differential game theory with control and information theories, the system performance is analyzed and the filter and control schemes are then designed. Thirdly, the relationships between system variance and time delay, incomplete measurements, failures are scaled respectively, according to which the parameters of filter and controller are optimized. Finally, a software is developed with multiple functions using the proposed theoretical methodology. Moreover, with the purpose of combining the research and engineering practice together, the obtained results will be tried to be applied in the modern fire control systems to promote the fighting effectiveness of weapon systems.

本项目适应武器系统现代化改造的需求，以火控系统两大关键性能指标--精确性与可靠性为目标，研究几类在火控系统中具有代表性的非线性随机系统带有方差约束的滤波与控制问题。综合考虑系统组网以及复杂的工作环境导致的信号传输时延、不完全量测、元器件故障等情况，本项目首先建立比传统模型更为贴近工程实际的火控系统数学模型；其次，利用矩阵理论、微分对策方法等数学工具，结合控制与信息理论，分析系统性能并设计滤波与控制算法，确保系统同时满足包括方差约束在内的若干性能指标。随后，借鉴随机过程、矩阵分析等相关的理论与方法，分别揭示时滞、不完全量测、故障等约束与系统方差性能之间的内在联系，作出定性刻划，并优化滤波器与控制器参数。最后，将所得的理论算法开发形成一个功能相容的软件包。在此基础上，将本项目得出的理论结果在现代火控系统中进行尝试性应用，实现研究成果与工程实践的紧密结合，提高武器系统作战效能。

本项目适应武器系统现代化改造的需求，以火控系统两大关键性能指标——精确性与可靠性为目标，研究几类在火控系统中具有代表性的非线性随机系统带有方差约束的滤波与控制问题。本项目首先综合考虑系统组网以及复杂的工作环境导致的信号传输时延、不完全量测、元器件故障等情况，建立比传统模型更为贴近工程实际的火控系统数学模型。然后，综合利用矩阵理论、微分对策方法等数学工具，结合控制与信息理论，分析系统性能并设计滤波与控制算法，确保系统同时满足包括方差约束在内的若干性能指标。随后，借鉴随机过程、矩阵分析等相关的理论与方法，分别揭示时滞、不完全量测、故障等约束与系统方差性能之间的内在联系，作出定性刻划，并优化滤波器与控制器参数。最后，将所得的理论算法成果在仿真系统中进行验证。在本项目资助下，出版英文专著1部；在国际期刊上组织专刊3次；培养硕士研究生1名；在国际国内刊物和会议上共发表16篇，其中SCI论文12篇，有4篇（含长文2篇）发表在IEEE Transactions on Automatic Control等IEEE汇刊之上。