非线性反馈系统解的函数展开方法

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes Pub Date : 1900-01-01 DOI:10.1109/CDC.1978.267944

Ramanand Singh, T. Johnson

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引用次数: 3

摘要

本文给出了两个结果:(1)非线性解析系统解的一种新结构;(2)应用Bellman基本技术获得了一类具有非二次性能指标的拟线性系统的次最优反馈控制。应用基本技术和非线性辅助方程可以得到线性的高阶近似方程。采用分离变量法对两个实例进行了求解。

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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A functional expansion approach to the solution of nonlinear feedback systems

This paper presents two results: (i) a new structure for the solution of nonlinear analytic systems, and (ii) an application of Bellman's Fundamental Technique to obtain the sub-optimal-feedback control of a class of quasilinear systems with non-quadratic performance indices. The application of the Fundamental Technique with a non-linear auxiliary equation is shown to result in higher order approximating equations which are linear. Using the method by separation of variables, two examples are solved.

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1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes

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