Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems

Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condi...

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Veröffentlicht in:IEEE transactions on control systems technology 2023-03, Vol.31 (2), p.977-984
Hauptverfasser: Liu, Zidong, Zhao, Dongya, Feng, Jiehua, Zhang, Ye, Spurgeon, Sarah K.
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Zhao, Dongya
Feng, Jiehua
Zhang, Ye
Spurgeon, Sarah K.
description Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condition based on linear matrix inequalities (LMIs) is derived and the stability is proven by the Lyapunov method. The proposed approach can ensure that the states which are subject to a consensus constraint achieve consensus, while those without a consensus constraint track their own set points. Finally, numerical simulations and a solution proportioning experiment are developed to validate the effectiveness of the proposed method.
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subjects Chain interconnected delay systems
Chains
Control design
Delays
Design parameters
distributed robust control
Interconnected systems
Linear matrix inequalities
Parameter uncertainty
partial state consensus (PSC)
Robust control
Symmetric matrices
Time-varying systems
Topology
Uncertainty
title Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems
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