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一类非线性互联系统基于图论的分散自适应输出反馈控制

Graph-Theory-Based Decentralized Adaptive Output-Feedback Control for a Class of Nonlinear Interconnected Systems.

作者信息

Li Yuan-Xin, Yang Guang-Hong

出版信息

IEEE Trans Cybern. 2019 Jul;49(7):2444-2453. doi: 10.1109/TCYB.2018.2817281. Epub 2018 Apr 2.

DOI:10.1109/TCYB.2018.2817281
PMID:29993678
Abstract

This paper investigates the problem of decentralized output feedback control for a class of interconnected systems with unknown state-dependent interconnections. First, we design a new form of K -filters with extra design parameters to compensate the unmeasurable states. Then by introducing a smooth function, we can design a decentralized output feedback control law by integrating the well-known backstepping framework. Furthermore, from the graph theory and Lyapunov function method, we analyze the stability and tracking property of the closed-loop systems. As an illustrative example, the proposed control scheme is applied to the controller design of a mass-spring-damper system.

摘要

本文研究了一类具有未知状态依赖互联的互联系统的分散输出反馈控制问题。首先,我们设计了一种具有额外设计参数的新型K滤波器来补偿不可测状态。然后,通过引入一个光滑函数,我们可以结合著名的反步法框架设计一个分散输出反馈控制律。此外,利用图论和李雅普诺夫函数方法,我们分析了闭环系统的稳定性和跟踪性能。作为一个说明性例子,将所提出的控制方案应用于质量-弹簧-阻尼系统的控制器设计。

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