Sector-condition-based results for adaptive control and synchronization of chaotic systems under input saturation |
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| Institution: | 1. Department of Electrical and Computer Engineering, Centre For Advanced Studies in Engineering (CASE), Islamabad, Pakistan;2. Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, Pakistan;3. Department of Cogno-Mechatronics Engineering and School of Mechanical Engineering, Pusan National University; 2 Busandaehak-ro, Geumjeong-gu, Busan 609-735, Republic of Korea;1. Department of Informatics, Modeling, Electronics and Systems Engineering, University of Calabria, Via Pietro Bucci, 42C, Rende 87036, Italy;2. Department of Physics, University of Calabria, Via Pietro Bucci, Rende 87036, Italy |
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| Abstract: | This paper addresses the design of adaptive feedback controllers for two problems (namely, stabilization and synchronization) of chaotic systems with unknown parameters by considering input saturation constraints. A novel generalized sector condition is developed to deal with the saturation nonlinearities for synthesizing the nonlinear and the adaptive controllers for the stabilization and synchronization control objectives. By application of the proposed sector condition and rigorous regional stability analysis, control and adaptation laws are formulated to guarantee local stabilization of a nonlinear system under actuator saturation. Further, simple control and adaptation laws are developed to synchronize two chaotic systems under uncertain parameters and input saturation nonlinearity. Numerical simulation results for Rössler and FitzHugh–Nagumo models are provided to demonstrate the effectiveness of the proposed adaptive stabilization and synchronization control methodologies. |
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