PYIA: Nonlinear Control Systems

该研究项目的主要目标是开发 非线性数字控制器的设计方法 非线性动力系统 由于控制器结构的选择 高度依赖于底层的结构特性 系统，第一步将是确定如何几何属性 的连续时间系统的变形的引入， 常见的采样保持装置。 作者的近期工作及其 学生已经澄清了线性情况，但对于非线性系统， 还有很多工作要做。 初步结果显示， 通过允许多速率采样获得的额外灵活性是至关重要的 实现反馈线性化等设计目标;这第二个 调查途径将进一步追查。 第三个目标是 为了发展离散时间的“传输动力学”概念， 非线性系统;这将起到传输零点的作用， 一个线性系统，并将导致存在的条件 控制器，同时解耦和稳定的非线性 离散时间系统最后，将与C博士共同工作。穆格， 法国，M。di Benedetto，of意大利，on微分代数 分析非线性系统的工具。 这项研究的主要目标是制定方法 用于非线性动态系统的非线性数字控制器的设计 系统. 该研究对高性能控制具有一定的参考价值 非线性系统，如在先进的飞机和 过程控制

The main objective of this research program is to develop methodologies for the design of nonlinear digital controllers for nonlinear dynamic systems. Since the choice of a controller structure is highly dependent upon the structural properties of the underlying system, the first step will be to determine how the geometric properties of a continuous-time system are deformed by the introduction of the usual sample-and-hold devices. Recent work of the author and his students has clarified the linear case, but for nonlinear systems, much work remains to be done. However, preliminary results show that the additional flexibility gained by allowing multi-rate sampling is crucial to achieving such design goals as feedback linearization; this second avenue of investigation will be further pursued. A third goal will be to develop a notion of "transmission dynamics" of a discrete-time nonlinear system; this will play the role of the transmission zeros of a linear system and will lead to conditions for the existence of controllers which simultaneously decouple and stabilize a nonlinear discrete-time system. Finally, joint work will be done with Dr. C. Moog, of France, and Dr. M. di Benedetto, of Italy, on differential algebraic tools for the analysis of nonlinear systems. The main objective of this research is to develop methodologies for the design of nonlinear digital controllers for nonlinear dynamic systems. This research will be valuable in controlling high performance nonlinear systems such as those encountered in advanced aircraft and process control.