弱非线性离散状态相关系数控制系统的D-SDRE调节器

Yulia E. Danik
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引用次数: 1

摘要

本文基于状态相关Riccati方程解的任意阶的形式渐近逼近,构造了拟线性离散状态相关系数控制系统的稳定调节器。利用李雅普诺夫函数法和系统及判据矩阵的级数展开证明了相应闭环系统的稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
One D-SDRE regulator for weakly nonlinear discrete statedependent coefficients control systems
Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control systems is constructed based on the formal asymptotic approximation of an arbitrary order of the state-dependent Riccati equation solution. The stability of the corresponding closed-loop system is proved using the Lyapunov functions method and the series expansion of the system and criterion matrices.
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