非线性时滞系统的输入-输出反馈线性化

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) Pub Date : 2003-12-09 DOI:10.1109/CDC.2003.1272273

Luis Alejandro Marquez Martinez, C. Moog

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引用次数: 3

摘要

研究了一类输入和状态具有多重时滞的单输入单输出非线性系统的输入输出线性化问题。通过各种静态或动态补偿器，包括状态反馈和输出反馈来解决这个问题。这类系统的数学设置是基于所谓的Roesser模型和一些非交换代数工具。这些被认为是研究非线性时滞系统的基础。给出了解决输入输出线性化问题的静态或纯移位输出反馈存在的充分必要条件。并给出了动态反馈解存在的充分条件。

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Input-output feedback linearization of nonlinear time-delay systems

In this paper, the input-output linearization problem for a class of single-input single-output nonlinear systems with multiple delays in the input and the state is studied. The problem is solved by means of various static or dynamic compensators, including state and output feedback. The mathematical setting is based on so-called Roesser models for this class of systems and on some noncommutative algebraic tools. These are claimed to be the cornerstones for studying nonlinear time delay systems. Necessary and sufficient conditions are given for the existence of a static or pure shift output feedback which solves the input-output linearization problem. Sufficient conditions for the existence of a dynamic state feedback solution are included as well.

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42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

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