A Unified Approach to Zeros in Robotics and Aircraft

在这个研究项目中，应用于多变量极点和零点的模块化方法被用于机器人和飞机控制应用的背景下。主要的重点是发展一种新的统一的方法来交织模块理论研究和现代控制系统理论。它将交换代数领域的工作与反馈理论中的应用相结合。利用该方法避免了对系统的最小性、因果性和正方形进行限制性假设的必要性。研究项目包括对与该方法相关的具体实例的密集软件研究。*/

In this research project, the module-theoretic approach applied to multi-variable poles and zeros is used in the context of robotics and aircraft control applications. The major emphasis is on developing a new unified approach to intertwine module -theoretic research and modern control system theory. It combines work in the area of commutative algebra with applications in feedback theory. Utilizing this method avoids the necessity of imposing restrictive assumptions on system minimality, causality and squareness. An intense software study of specific examples relevant to the methodology is included in the research project.*** //