Purpose

The purpose of this paper is to report on the global practical uniform h-stabilization for certain classes of nonlinear time-varying systems and its application in a separately excited DC motor circuit.

Design/methodology/approach

Based on Lyapunov theory, the practical h-stabilization result is derived to guarantee practical h-stability and applicated in a separately excited DC motor.

Findings

A controller is designed and added to the nonlinear time-varying system. The practical h-stability of the nonlinear control systems is guaranteed by applying the appropriate controller based on Lyapunov second method. Another effective controller is also designed for the global practical uniform h-stability on the separately excited DC motor with load. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme.

Originality/value

The introduced approach is interesting for practical h-stabilization of nonlinear time-varying systems and its application in a separately excited DC motor. The original results generalize well-known fundamental result: practical exponential stabilization for nonlinear time-varying systems.

中文翻译：

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关于非线性时变系统的实际 h 稳定：在他励直流电机中的应用

目的

本文的目的是报告某些类别的非线性时变系统的全局实际均匀 h 稳定及其在他励直流电机电路中的应用。

设计/方法/方法

基于李雅普诺夫理论，推导出实用的h稳定结果，以保证实用的h稳定，并应用于他励直流电机。

发现

控制器被设计并添加到非线性时变系统。通过应用基于李雅普诺夫第二方法的适当控制器，可以保证非线性控制系统的实际 h 稳定性。另一个有效的控制器也设计用于带负载的他励直流电机的全局实用均匀 h 稳定性。数值模拟被证明以验证所提出的控制器方案的有效性。

原创性/价值

引入的方法对于非线性时变系统的实际 h 稳定及其在他励直流电机中的应用很有趣。原始结果概括了众所周知的基本结果：非线性时变系统的实用指数稳定。