一类包含非线性增益元件的离散控制系统的稳定性

Ire Transactions on Automatic Control Pub Date : 1962-10-01 DOI:10.1109/TAC.1962.1105500

S. Kodama

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引用次数: 15

摘要

本文研究的是一类包含非线性增益元素的自主离散控制系统的显式稳定增益扇区。假设一个二次型Lyapunov函数，并使用Aizerman技术[1]寻找这样的稳定扇区。提出了一种选择二次李雅普诺夫函数使扇区宽度最大化的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of a class of discrete control systems containing a nonlinear gain element

The problem considered in this paper is to find an explicit stability gain sector for a class of autonomous discrete control systems containing a nonlinear gain element. A quadratic form Lyapunov function is assumed and the Aizerman technique [1] is used to find such a stability sector. A method to select the quadratic Lyapunov function to maximize the width of the sector is suggested.

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Ire Transactions on Automatic Control

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