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理论方法被用于机器人和飞机控制应用的背景下。重点是发展一种新的统一的方法，将模块理论研究与现代控制系统理论相结合。它结合了交换代数领域的工作和反馈理论的应用。利用这种方法避免了对系统极小性、因果性和平方性强加限制性假设的必要性。与方法论相关的具体实例的密集软件研究包括在研究项目中。* * * / /

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.*** //