Robust Stability and Stabilization of Systems with Real Parameter Uncertainty

这一建议解决了一个重要问题， 系统和控制区域： 面对不确定性的控制系统 的 设计控制系统的问题， 不确定性具有根本的实际意义 一直是发展的主要动力， 控制理论与技术 拟议 关于该主题的研究包括稳定性分析， 稳定和干扰抑制， 存在真实的，可能的非线性/时变， 不确定性 这些问题都是 独立的利益，他们一起遵循一个 发展的自然进程 分析和设计的一般方法 不确定系统 这下面的主要物体 是一个由a描述的不确定动力系统 线性分数变换，以及必要的 这项研究所需的工具包括先进的 矩阵理论，凸优化技术， 现代鲁棒控制理论 有关做法和 这里提出想法被认为是独特的， 原始. 特别是， 结构化系统的稳定化 非线性/时变不确定性， 凸优化和高级优化的结合 分离原理，并使用参数 相关增益调度控制器，出现非常 有前途，并有望导致有价值的 在实际设计中的应用 不确定系统

This proposal addresses an important problem in system and control area: the analysis and design of control systems in the face of uncertainty. The problem of designing a control system against uncertainties is of fundamental practical interest and has been the main thrust for development of control theory and technology. The proposed research on this subject includes stability analysis, stabilization, and disturbance rejection in the presence of real, possible nonlinear/time varying, uncertainties. Each of these problems is of independent interest and they together follow a natural progression toward the development of a general methodology for analysis and design of uncertain systems. The main object under here will be an uncertain dynamical system described by a linear fractional transformation, and the necessary tools required for this research include advanced matrix theory, convex optimization techniques, and modern robust control theory. The approaches and idea proposed here are believed to be unique and original. In particular, the proposed approaches for the stabilization of systems with structured nonlinear/time varying uncertainty using the combination of convex optimization and advanced separation principle, and using the parameter dependent gain scheduled controller, appear very promising, and are expected to lead to valuable applications in practical design of highly complex uncertain systems.