论文标题
与网络相同的非线性负面疑问系统的强大输出反馈共识
Robust Output Feedback Consensus for Networked Identical Nonlinear Negative-Imaginary Systems
论文作者
论文摘要
本文研究了针对网络相同的非线性负面疑问（NI）系统的强大输出反馈共识问题。输出共识是通过通过网络拓扑的正面反馈中的所有非线性NI植物应用于所有非线性NI植物的相同线性输出来实现的。首先，我们将非线性NI系统的定义从单输入单输出（SISO）系统扩展到多输入多输出（MIMO）系统，还将OSNI系统的定义扩展到非线性方案。在合理假设下，非线性NI系统和非线性OSNI系统的闭环互连证明了渐近稳定性。然后，对于网络相同的非线性NI系统和网络相同的线性OSNI系统，证明了Ni属性和类似OSNI的属性。通过研究其与线性OSNI控制器网络的闭环互连的稳定性，可以证明，对于相同的非线性NI植物网络，可以证明输出反馈共识。该闭环互连被提议作为解决网络相同非线性NI系统的输出共识问题的协议，并且对单个系统模型中的不确定性具有鲁棒性。
A robust output feedback consensus problem for networked identical nonlinear negative-imaginary (NI) systems is investigated in this paper. Output consensus is achieved by applying identical linear output strictly negative-imaginary (OSNI) controllers to all the nonlinear NI plants in positive feedback through the network topology. First, we extend the definition of nonlinear NI systems from single-input single-output (SISO) systems to multiple-input multiple-output (MIMO) systems and also extend the definition of OSNI systems to nonlinear scenarios. Asymptotic stability is proved for the closed-loop interconnection of a nonlinear NI system and a nonlinear OSNI system under reasonable assumptions. Then, an NI property and an OSNI-like property are proved for networked identical nonlinear NI systems and networked identical linear OSNI systems, respectively. Output feedback consensus is proved for a network of identical nonlinear NI plants by investigating the stability of its closed-loop interconnection with a network of linear OSNI controllers. This closed-loop interconnection is proposed as a protocol to deal with the output consensus problem for networked identical nonlinear NI systems and is robust against uncertainty in the individual system's model.
