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基于任意阶有限时间滑模控制律的不确定高阶网络化非线性系统控制设计

Control Design for Uncertain Higher-Order Networked Nonlinear Systems via an Arbitrary Order Finite-Time Sliding Mode Control Law.

作者信息

Munir Maryam, Khan Qudrat, Ullah Safeer, Syeda Tayyaba Maryam, Algethami Abdullah A

机构信息

Department of Electrical Engineering, HITEC University, Taxila 47080, Pakistan.

Centre for Advanced Studies in Telecommunications (CAST), COMSATS University, Islamabad 45550, Pakistan.

出版信息

Sensors (Basel). 2022 Apr 2;22(7):2748. doi: 10.3390/s22072748.

DOI:10.3390/s22072748
PMID:35408362
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9003359/
Abstract

The authors proposed an arbitrary order finite-time sliding mode control (SMC) design for a networked of uncertain higher-order nonlinear systems. A network of n+1 nodes, connected via a directed graph (with fixed topology), is considered. The nodes are considered to be uncertain in nature. A consensus error-based canonical form of the error dynamics is developed and a new arbitrary order distributed control protocol design strategy is proposed, which not only ensures the sliding mode enforcement in finite time but also confirms the finite time error dynamics stability. Rigorous stability analysis, in closed-loop, is presented, and a simulation example is given, which demonstrates the results developed in this work.

摘要

作者针对不确定高阶非线性系统网络提出了一种任意阶有限时间滑模控制（SMC）设计方法。考虑了一个通过有向图（具有固定拓扑结构）连接的由n + 1个节点组成的网络。节点本质上被认为是不确定的。基于一致性误差开发了误差动态的规范形式，并提出了一种新的任意阶分布式控制协议设计策略，该策略不仅能确保在有限时间内实现滑模，还能确认有限时间误差动态的稳定性。给出了闭环情况下严格的稳定性分析，并给出了一个仿真示例，验证了本文所得到的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/104cdfb107ef/sensors-22-02748-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/a6ea1d7dfd42/sensors-22-02748-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/3351542a32a4/sensors-22-02748-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/90d70e6308f5/sensors-22-02748-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/0c00a80ff296/sensors-22-02748-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/dc2b27c399b1/sensors-22-02748-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/234565d0751d/sensors-22-02748-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/88b4ccaf93b1/sensors-22-02748-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/d13542b48c43/sensors-22-02748-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/104cdfb107ef/sensors-22-02748-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/a6ea1d7dfd42/sensors-22-02748-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/3351542a32a4/sensors-22-02748-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/90d70e6308f5/sensors-22-02748-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/0c00a80ff296/sensors-22-02748-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/dc2b27c399b1/sensors-22-02748-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/234565d0751d/sensors-22-02748-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/88b4ccaf93b1/sensors-22-02748-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/d13542b48c43/sensors-22-02748-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1da3/9003359/104cdfb107ef/sensors-22-02748-g009.jpg

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