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Event-triggered adaptive backstepping tracking control for a class of nonlinear fractional order systems
Authors:Shijia Kang  Huanqing Wang  Ming Chen  Peter X Liu  Chengdong Li
Affiliation:1. College of Mathematical Sciences, Bohai University, Jinzhou, China;2. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Liaoning, China;3. Department of Systems and Computer Engineering, Carleton University, Ottawa, Ontario, Canada;4. School of Information and Electrical Engineering, Shandong Jianzhu University, Shan Dong, China
Abstract:This article investigates the problem of event-trigger based adaptive backstepping control for a class of nonlinear fractional order systems. By introducing an appropriate transformation of frequency distributed model, the fractional-order indirect Lyapunov method with urn:x-wiley:acs:media:acs3211:acs3211-math-0001 is obtained. In addition, the event-triggered adaptive controller is developed by employing the event-triggered control approach. Meanwhile, by the proposed adaptive control scheme, all the closed-loop signals are globally uniformly bounded, and the tracking error converges to a small neighborhood of the origin. Finally, simulation results are provided to testify the availability of the presented controller.
Keywords:adaptive backstepping control  event-triggered control  fractional order systems
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