Co-design of an event-triggered dynamic output feedback controller for discrete-time LPV systems with constraints |
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Affiliation: | 1. PPGEAS of Universidade Federal de Santa Catarina (UFSC), DAS/CTC/UFSC, Florianópolis 88040-900, SC, Brazil;2. LAAS-CNRS, Université de Toulouse, CNRS, Toulouse, France;3. The Department of Mechatronics Engineering, Campus Divinópolis — CEFET–MG, R. Álvares Azevedo, 400, Divinópolis 35503-822, MG, Brazil;4. The Department of Automation and Systems, Universidade Federal de Santa Catarina (UFSC), PPGEAS — DAS/CTC/UFSC, Florianópolis 88040-900, SC, Brazil;1. School of Artificial Intelligence, Hebei University of Technology, Tianjin, 300401, PR China;2. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210023, PR China;3. School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, PR China;1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China;2. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;3. Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh 27695-7910, USA |
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Abstract: | This paper investigates an event-triggered control design approach for discrete-time linear parameter-varying (LPV) systems under control constraints. The proposed conditions can simultaneously design a parameter-dependent dynamic output feedback controller and an event generator, ensuring the closed-loop system’s regional asymptotic stability. Based on the Lyapunov stability theory, these conditions are given in terms of linear matrix inequalities (LMIs). Moreover, using some proposed optimization procedures, it is possible to minimize the number of sensor transmissions, maximize the estimation of the region of attraction of the origin, and incorporate optimal control criteria into the formulation. Through numerical examples, some comparisons with other approaches in the literature evidence the proposed technique’s efficacy. |
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