LMI based sampled-data controller for synchronization on the time-delay Darcy-Brinkman model |
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| Institution: | 1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamilnadu, India;2. Department of Mathematics, Rathinam College of Arts and Science, Coimbatore 641 021, Tamilnadu, India;1. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China;2. Institute of Artificial Intelligence, Beihang University, Beijing 100191, China;3. School of Cyber Science and Technology, Beihang University, Beijing 100191, China;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India;2. Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab Emirates;3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India;4. Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, 10129, Italy;1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Communications and Networks Engineering, Prince Sultan University, Saudi Arabia;1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China;1. Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab Emirates;2. Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamilnadu, India;3. Department of Mathematics, Nazarbayev University, Nur-Sultan city, Kazakhstan |
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| Abstract: | This paper analyzed the sampled-data controller for using time-delay nonlinear systems with a bounded uncertainty approach. Based on the Lyapunov stability theory, some synchronization criteria are first obtained. Here, the time-delay is assumed to be constant and known. Instead of solving a nonlinear optimization problem, it will be developed by solving a set of linear matrix inequalities (LMIs). The controller gains can be obtained by solving a set of LMIs. During the development of the Darcy-Brinkman model, numerical examples are used to demonstrate the accuracy and dependability of the presented approaches. Finally, numerical simulations show that the proposed solutions are effective and feasible. |
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