保证连续时间不确定非自主非线性系统 Lyapunov 稳定性的新型采样输出反馈控制器

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS
Jang-Hyun Park
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引用次数: 0

摘要

本信提出了一种新型输出反馈数字控制器,用于设计具有固有不确定性的连续时间完全未知非线性系统。该控制器适用于以显著的非结构化不确定性为特征的一大类一般时变非线性系统。与以往的方法不同,该控制器不需要对控制器或受控植物进行离散化,也不局限于 Lur'e 型系统或上三角非线性植物等特定系统。利用离散微分器,严格证明了所提出的数字控制输入经过零阶保持处理后,可确保混合闭环系统的 Lyapunov 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。
Novel Sampled-Output Feedback Controller Guaranteeing Lyapunov Stability for Continuous-Time Uncertain Nonautonomous Nonlinear Systems
A novel output-feedback digital controller designed for continuous-time completely unknown nonlinear systems with inherent uncertainties is proposed in this letter. It addresses a broad class of general time-varying nonlinear systems characterized by significant unstructured uncertainties. Unlike previous methods, this controller does not require discretization of the controller or the controlled plant and is not limited to specific systems like Lur’e-type systems or upper-triangular nonlinear plants. Leveraging a discrete differentiator, it is rigorously demonstrated that the proposed digital control input, processed through a zero-order hold, ensures Lyapunov stability of the hybrid closed-loop system.
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来源期刊
IEEE Control Systems Letters
IEEE Control Systems Letters Mathematics-Control and Optimization
CiteScore
4.40
自引率
13.30%
发文量
471
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