Output Feedback Nonlinear General Integral Control

Baishun Liu
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引用次数: 2

Abstract

This paper proposes an output feedback nonlinear general integral controller for a class of uncertain nonlinear system. By solving Lyapunov equation, we demonstrate a new proposition on Equal ratio gain technique. By using Equal ratio gain technique, Singular perturbation technique and Lyapunov method, theorem to ensure regionally as well as semi-globally exponential stability is established in terms of some bounded information. Moreover, a real time method to evaluate the ratio coefficients of controller and observer are proposed such that their values can be chosen moderately. Theoretical analysis and simulation results show that not only output feedback nonlinear general integral control has the striking robustness but also the organic combination of Equal ratio gain technique and Singular perturbation technique constitutes a powerful tool to solve the output feedback control design problem of dynamics with the nonlinear and uncertain actions.
输出反馈非线性一般积分控制
针对一类不确定非线性系统,提出了一种输出反馈非线性一般积分控制器。通过求解李雅普诺夫方程,给出了等比增益技术的一个新命题。利用等比增益技术、奇异摄动技术和Lyapunov方法,建立了关于有界信息的区域和半全局指数稳定性定理。此外,还提出了一种实时评估控制器和观测器比值系数的方法,使其值的选取较为合理。理论分析和仿真结果表明,输出反馈非线性一般积分控制不仅具有显著的鲁棒性,而且等比增益技术和奇异摄动技术的有机结合是解决具有非线性和不确定作用的动力学输出反馈控制设计问题的有力工具。
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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