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Robust consensus tracking based on hABC algorithm with parameters identification for uncertain nonlinear FOMASs with external disturbances
Institution:1. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, PR China;2. School of Science, Beijing Jiaotong University, Beijing 100044, PR China;3. CRIStAL, UMR CNRS 9189, Centrale Lille, Villeneuve d’Ascq, France;1. School of Electrical Engineering and Computer Science, Washington State University, Pullman WA, USA;2. College of Information Science and Engineering, Northeastern University, Shenyang, China;3. Department of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, the Netherlands;1. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China;2. School of Statistics and Mathematics, Central University of Finance and Economics, Beijing, 100081, China;1. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, PR China;2. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China
Abstract:Distributed coordination of multi-agent systems (MASs) has been investigated for many years, and fractional-order calculus has been proved that it can model the dynamics more accurately in certain circumstances. Hence, in this paper, combining the above two aspects, the distributed coordination of fractional-order MASs (FOMASs) is researched, which is a promising topic. Besides, in this paper, the uncertainty, inherent nonlinearity and external disturbances are taken into consideration, aiming at achieving the robust consensus tracking. In particular, the uncertain parameters will be identified from an optimization perspective using artificial bee colony algorithm (ABC). Firstly, to ameliorate the performance of the standard ABC, a hybrid ABC (hABC) incorporating two groups of searching mechanisms is designed, it facilitates the identification of unknown parameters. After obtaining the identified parameters, an efficient distributed nonlinear controller is raised to fulfill the robust consensus tracking. Finally, experiments prove that the designed parameters identification approach can successfully estimate the uncertain parameters with high accuracy, besides the designed control algorithm can robustly control the FOMASs.
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