Robust Control Theory

这个项目描述了一个基础研究项目，重点是设计和分析鲁棒和H_无穷优反馈系统。该研究程序包括四个主要部分：多变量鲁棒稳定与镇定问题，有限维和无限维系统的H_无穷最优控制，线性时不变系统鲁棒控制的非线性时变控制器的分析和设计，多性能函数控制器设计。为了考虑系统模型中可能存在的不确定性，将同时考虑对象模型中的参数不确定性和非结构不确定性。在H无穷范数下的最优设计被认为对外部信号频谱的不确定性或非结构化动态建模的不确定性提供了鲁棒性。这也是在存在非结构化不确定性的情况下设计稳健性能的关键步骤。重点是开发用于控制器设计的计算高效算法。为此，所有高级算法都将根据状态空间实现、实或复矩阵代数方程、预计大多数算法将在从工程工作站到大型计算机的各种计算机上实现。

This project describes a basic research program focused on the design and analysis of robust and H- infinity optimal feedback systems. This research program has four major components: multivariable robust stability and stabilization problems, H-infinity optimal control of finite and infinite-dimensional systems, analysis and design of nonlinear time- varying controllers for robust control of linear time- invariant systems, controller design for multiple performance functionals. To account for possible uncertainties in system models, both parametric and unstructured uncertainty in plant models will be considered. Optimal design in the H-infinity norm is considered to provide robustness against uncertainty in the spectra of the exogenous signals or unstructured dynamic modeling uncertainty. It is also a key step in design for robust performance in the presence of unstructured uncertainty. The emphasis is on the development of computationally efficient algorithms for controller design. For this purpose, all high-level algorithms will be developed in terms state-space realizations, real or complex matrix algebraic equations, etc. It is expected that most of the algorithms will be implementable on a variety of computers ranging from engineering workstations to mainframe computers.