Finite-Time Distributed Identification for Nonlinear Interconnected Systems  

作　　者：Farzaneh Tatari Hamidreza Modares Christos Panayiotou Marios Polycarpou 

机构地区：[1]Mechanical Engineering Department,Michigan State University,East Lansing,MI 48824 USA [2]KIOS Research and Innovation Center of Excellence and the Department of Electrical and Computer Engineering,University of Cyprus,Nicosia 1678,Cyprus [3]IEEE

出　　处：《IEEE/CAA Journal of Automatica Sinica》2022年第7期1188-1199,共12页自动化学报（英文版）

基　　金：This work was partially supported by the European Union’s Horizon 2020 research and innovation programme(739551)(KIOS CoE);from the Republic of Cyprus through the Directorate General for European Programmes,Coordination and Development.

摘　　要：In this paper,a novel finite-time distributed identification method is introduced for nonlinear interconnected systems.A distributed concurrent learning-based discontinuous gradient descent update law is presented to learn uncertain interconnected subsystems’dynamics.The concurrent learning approach continually minimizes the identification error for a batch of previously recorded data collected from each subsystem as well as its neighboring subsystems.The state information of neighboring interconnected subsystems is acquired through direct communication.The overall update laws for all subsystems form coupled continuous-time gradient flow dynamics for which finite-time Lyapunov stability analysis is performed.As a byproduct of this Lyapunov analysis,easy-to-check rank conditions on data stored in the distributed memories of subsystems are obtained,under which finite-time stability of the distributed identifier is guaranteed.These rank conditions replace the restrictive persistence of excitation(PE)conditions which are hard and even impossible to achieve and verify for interconnected subsystems.Finally,simulation results verify the effectiveness of the presented distributed method in comparison with the other methods.

关 键 词：Distributed concurrent learning finite-time identification nonlinear interconnected systems unknown dynamics 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]