论文标题
网络异质非线性负面疑问系统的强大输出反馈共识
Robust Output Feedback Consensus for Networked Heterogeneous Nonlinear Negative-Imaginary Systems
论文作者
论文摘要
本文为网络异质非线性负面疑问（NI）系统的强大输出反馈共识提供了控制协议。根据网络拓扑的正反馈，将异质的非线性输出严格构成负面疑问（OSNI）控制器，以达到输出反馈共识。本文的主要贡献是扩展了对网络异质线性NI系统的强大输出反馈共识问题的先前研究，对非线性NI系统。根据网络拓扑结构，通过研究异质非线性NI植物网络和异质非线性OSNI控制器网络的闭环互连的内部稳定性证明了输出反馈共识。事实证明，异质非线性NI系统的网络也是一个非线性NI系统，事实证明，异质非线性OSNI系统的网络也是非线性OSNI系统。在适当的条件下，非线性OSNI控制器导致所有非线性NI植物的输出趋于共同极限轨迹，而与每种植物的系统模型无关。因此，该方案在网络中异质非线性NI植物的系统模型中相对于参数扰动是可靠的。
This paper provides a control protocol for the robust output feedback consensus of networked heterogeneous nonlinear negative-imaginary (NI) systems. Heterogeneous nonlinear output strictly negative-imaginary (OSNI) controllers are applied in positive feedback according to the network topology to achieve output feedback consensus. The main contribution of this paper is extending the previous studies of the robust output feedback consensus problem for networked heterogeneous linear NI systems to nonlinear NI systems. Output feedback consensus is proved by investigating the internal stability of the closed-loop interconnection of the network of heterogeneous nonlinear NI plants and the network of heterogeneous nonlinear OSNI controllers according to the network topology. The network of heterogeneous nonlinear NI systems is proved to be also a nonlinear NI system, and the network of heterogeneous nonlinear OSNI systems is proved to be also a nonlinear OSNI system. Under suitable conditions, the nonlinear OSNI controllers lead to the convergence of the outputs of all nonlinear NI plants to a common limit trajectory, regardless of the system model of each plant. Hence, the protocol is robust with respect to parameter perturbation in the system models of the heterogeneous nonlinear NI plants in the network.
