Near-optimal feedback stabilization of a class of nonlinear singularly perturbed systems

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes Pub Date : 1978-09-01 DOI:10.1109/CDC.1978.267942

J. Chow, P. Kokotovic

引用次数: 35

Abstract

The problem considered is to optimally control the nonlinear system: x = a1(x) + A1(x)z + B1(x)u, x(0) = xo (1a) µz = a2(x) + A2(x)z + B2(x)u, z(0) = zo (1b) with respect to the performance index J=¿0 ¿[p(x) + s'(x)z + z'Q(x)z + u'R(x)u]dt (2) where µ > 0 is the small singular perturbation parameter, x, z are n-, m- dimensional states, respectively, and u is an r-dimensional control.

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一类非线性奇摄动系统的近最优反馈镇定

考虑的问题是最优控制非线性系统:x = a1(x) + a1(x) z + B1(x)u, x(0) = xo (1a)µz = a2(x) + a2(x) z + B2(x)u, z(0) = zo (1b)，相对于性能指标J=¿0¿[p(x) + s'(x)z + z' q (x)z + u' r (x)u]dt(2)，其中µ> 0是小奇异扰动参数，x, z分别是n维，m维状态，u是r维控制。

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

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