Global Mittag-Leffler consensus for fractional singularly perturbed multi-agent systems with discontinuous inherent dynamics via event-triggered control strategy |
| |
| Authors: | Yuqing Zhang Huaiqin Wu Jinde Cao |
| |
| Institution: | 1. School of Science, Yanshan University, Qinhuangdao 066001, China;2. School of Mathematics, Southeast University, Nanjing 210096, China, and Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. School of Engineering, Huzhou University, Huzhou 313000, Zhejiang, China;2. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;3. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;1. Department of Control and Automation Engineering, National Korea Maritime and Ocean University, Busan 49112, South Korea;2. School of IT Information and Control Engineering, Kunsan National University, Kunsan 54150, South Korea;1. Departamento de Control Automatico, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico;2. Departamento de Computacion, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico;1. School of Electronic and Electric Engineering, Shanghai University of Engineering Science, China;2. Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin 150001, China;3. School of Electronic Information and Electrical Engineering, Shanghai Jiaotong University, China;4. School of Physics and Electronic Engineering, Guangzhou University, Guangzhou, China;1. Automatic Laboratory of Setif, Department of Electrical Engineering, Setif 1 University, Maabouda, Street of Bejaia, Setif 19000, Algeria;2. Université de Rouen, IUT, Chemical Engineering Department, Rue Lavoisier, Mont-Saint-Aignan 76130, France;1. College of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou 213001, China;2. College of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China |
| |
| Abstract: | In this paper, the global Mittag-Leffler consensus tracking issue is considered for fractional singularly perturbed multi-agent systems (FSPMASs) based on event-triggered control strategy, where the inherent dynamic is modeled to be a discontinuous function with nondecreasing property. Firstly, a differential inequality with respect to fractional-order derivative of convex function is developed. As the special cases, the inequalities about fractional-order derivative of three known functions are also addressed. Secondly, a distributed event-triggered control scheme is designed to guarantee that the considered FSPMASs can achieve the global Mittag-Leffler consensus. Moreover, the Mittag-Leffer convergence speed of tracking the leader for followers can be adjusted to any desired values in advance. In addition, under fractional Filippov differential inclusion framework, by applying Lur’e Postnikov-type Lyapunov functional with variable upper limit integral item and Clarke’s non-smooth analysis technique, the global Mittag-Leffler consensus conditions are addressed in terms of matrix inequalities (MIs). Finally, two numerical simulations are provided to illustrate the validity of the proposed design method and theoretical results. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
