Presidential Young Investigators Award: Robust Design of Multivariable Feedback Systems

PI的研究兴趣是发展理论来描述这些 与设计相关的线性反馈系统的性质。 的 特别感兴趣的是系统的结构， 限制了性能和鲁棒性 可通过反馈设计实现。 在标量情况下， 非最小相位零点、不稳定极点和时间延迟导致设计 困难 这些性质也可以出现在多变量 系统. 然而，在这种情况下，人们对它们的了解较少， 试图建立一个数学框架，在此框架内探索他们的 特性. 多变量系统也可以具有没有类似物的性质 在标量的情况下。 其中包括方向性特性， 循环相互作用和植物病态。 他寻求 了解这些属性以及设计权衡和限制 他们强加的。 然后，他计划将这些知识纳入 各种现有的设计方法，以及开发新的 方法论。 他的最终研究目标是了解反馈系统的性质 足够好，可以制定经验法则，以帮助 设计 这项任务将涉及发展必要的 理论，以及将该理论转化为 实践工程师的语言。

PI's research interests are in developing theory to describe those properties of linear feedback systems that are relevant to design. Of particular interest is the way in which the structure of a system to be controlled limits the performance and robustness properties achievable through feedback design. In the scalar case, plants with nonminimum phase zeros, unstable poles, and time delays cause design difficulty. These properties can also appear in multivariable systems. However, in this context they are less well understood, and seek to develop a mathematical framework within which to explore their properties. Multivariable systems can also possess properties having no analogue in the scalar case. Among these are directionality properties due to loop interactions and to plant ill-conditioning. He seeks to understand these properties and the design tradeoffs and limitations that they impose. He then plans to incorporate this knowledge into various existing design methodologies as well as to develop new methodologies. His ultimate research goal is to understand feedback system properties sufficiently well that rules of thumb may be developed to aid in design. This task will involve both development of the necessary theory, as well as a substantial effort to translate that theory into the language of the practicing engineer.