RIMI: Parametric Robust Control Design

拟议的项目涉及各种问题， 控制系统的分析和设计 参数不确定性 具体来说，我们认为 传递函数系数 是参数的线性或多线性函数 易受干扰。 本项目的主要目标 1）制定有效的方法来设计 控制器在大的情况下表现令人满意 参数不确定性的数量和2）扩展 了解的时间和频率域属性的 各种控制系统。 该项目由 新理论的发展及其对 作为计算机辅助设计软件实现 包. 我们提出要解决的理论问题 如下所示： 1)重新审视经典控制设计和分析 技术与鲁棒性成分和发展 鲁棒参数控制的新设计方法 设计 2)发展时滞系统的相关理论。 这包括什么是必要的和充分的 时滞系统鲁棒稳定性的判定条件 一个具有固定控制器的区间系统，如何 计算检查鲁棒稳定性， 时间的频域和时域特性 延迟间隔系统，以及如何选择性地调整 参数在其区间内，以改善系统 性能 3)发展等效理论和计算 算法来处理多线性区间系统。 4)发展理论以检查时域 区间系统的性质及其在 控制瞬态响应。 5)开发新的建模和识别 技术，以确定一个区间系统从给定的 输入输出测试数据和标称线性 识别模型 项目的第二部分是建立一个高效的 计算机辅助设计软件， 以上设计方法。 本软件的基础系统 是MATLAB。 我们希望这将是一个有价值的工具， 鲁棒参数控制设计与分析 理论家和实践工程师。

The proposed project deals with various problems of analysis and design of control systems subject to parametric uncertainty. Specifically we consider interval systems whose transfer function coefficients are linear or multilinear functions of the parameters subject to perturbation. The main goals of this project are 1) to develop effective methodologies to design controllers that perform satisfactorily under large amounts of parametric uncertainties and 2) to expand understanding of time and frequency domain properties of various types of control systems. The project consists of two parts: development of new theory and its implementation as a computer aided design software package. The theoretical problems we propose to solve are as follows: 1) Reexamining the classical control design and analysis techniques with robustness ingredients and developing new design methodologies for robust parametric control design. 2) Developing relevant theory for time delay systems. This includes what is a necessary and sufficient condition to determine robust stability of a time delay interval system with a fixed controller, how to computationally check the robust stability, what are the frequency and time domain characteristics of a time delay interval system, and how to adjust selective parameters within their intervals to improve the system performance. 3) Developing equivalent theory and computational algorithms to deal with multilinear interval systems. 4) Developing theory to examine the time domain properties of interval systems and its use in controlling transient response. 5) Developing a new modeling and identification technique to determine an interval system from the given input - output test data and the nominal linear identified model. The second part of the project is to build an efficient computer aided design software to incorporate all the above design methods. The base system of this software is MATLAB. We expect it will be a valuable tool for robust parametric control design and analysis for both theoreticians and practicing engineers.