1. Fuzzy Adaptive Cooperative Consensus Tracking of High-Order Nonlinear Multiagent Networks With Guaranteed Performances
- Author
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Ning Wang, Guanghui Wen, Fan Zhang, Ying Wang, Ali Zemouche, Air Force Engineering University [Xi'an] (AFEU), Nanjing Southeast University, Sun Yat-Sen University [Guangzhou] (SYSU), Centre de Recherche en Automatique de Nancy (CRAN), and Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Mathematical optimization ,Computer science ,Stability (learning theory) ,Directed graph ,guaranteed performances ,distributed protocol ,Computer Science Applications ,Human-Computer Interaction ,Tracking error ,Nonlinear system ,Rate of convergence ,Consensus ,Control and Systems Engineering ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,Directed topology ,Inverse function ,Electrical and Electronic Engineering ,Software ,high-order multiagent networks ,Information Systems - Abstract
International audience; This work addresses the distributed consensus tracking problem for an extended class of high-order nonlinear multiagent networks with guaranteed performances over a directed graph. The adding one power integrator methodology is skillfully incorporated into the distributed protocol so as to tackle high powers in a distributed fashion. The distinguishing feature of the proposed design, besides guaranteeing closed-loop stability, is that some transient-state and steady-state metrics (e.g., maximum overshoot and convergence rate) can be preselected a priori by devising a novel performance function. More precisely, as opposed to conventional prescribed performance functions, a new asymmetry local tracking error-transformed variable is designed to circumvent the singularity problem and alleviate the computational burden caused by the conventional transformation function and its inverse function, and to solve the nondifferentiability issue that exists in most existing designs. Furthermore, the consensus tracking error is shown to converge to a residual set, whose size can be adjusted as small as desired through selecting proper parameters, while ensuring closed-loop stability and preassigned performances. One numerical and one practical example have been conducted to highlight the superiority of the proposed strategy.
- Published
- 2022