Research Initiation Award: Synthesis of Robust Controllers for Systems with Structured Uncertainty

这个项目涉及新理论的发展 分析和综合的技术 控制系统在不确定性的存在。 的 这个项目的主要成果是一个理论，提供了一个 设计控制器的系统方法， 具有最佳稳定性和性能的系统 尽管存在植物和信号， 不确定性 这个理论是基于结构化的 不确定性模型，允许包含 关于建模不确定性来源的信息 从而使分析和设计中的保守性最小化 程序. 此外，通过采用l-无穷大， 信号范数、时域目标可以被包括在 以自然的方式设计。 本规范的使用 将这种方法与其他方法区分开来， 提供了一种解决所涉及问题的新方法， 控制不确定的系统 的方法 该项目的雇员将利用最近 发展的理论，使分析成为可能， 系统稳定性和性能鲁棒性。 数值算法实现开发的 控制器综合技术也将得到发展 并应用于实际例子。 此外该 鲁棒性分析理论将扩展到 结合更大的系统类别， 更好地表示干扰和不确定性。

This project concerns the development of new theory and techniques dealing with the analysis and synthesis of control systems in the presence of uncertainty. The main outcome of this project is a theory that provides a systematic means for designing controllers which lead to systems possessing optimal stability and performance properties despite the presence of plant and signal uncertainty. This theory is based on the structured uncertainty model which allows the inclusion of information about the sources of modelling uncertainty thus minimizing conservatism in the analysis and design procedures. In addition, by adopting the l-infinity signal norm, time domain objectives can be included in the design in a natural way. The use of this norm distinguishes this approach from other approaches and provides a novel way for addressing the issues involved in controlling uncertain systems. The methods employed in the project will take advantage of recently developed theory which makes possible the analysis of system stability and performance robustness. Numerical algorithms implementing the developed controller synthesis techniques will also be developed and applied to practical examples. In addition, the theory for robustness analysis will be extended to incorporate a larger class of systems and to allow a better representation of disturbances and uncertainty.