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Stability analysis of fractional order neutral-type systems considering time varying delays,nonlinear perturbations,and input saturation
Authors:Zahra Sadat Aghayan  Alireza Alfi  J A Tenreiro Machado
Institution:1. Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood, 36199-95161 Iran;2. Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4249-015 Portugal
Abstract:This article investigates the robust stability of fractional order neutral-type systems involving nonlinear perturbations and time varying delays in the presence of input saturation. Design criteria, expressed in terms of linear matrix inequalities, are derived with the aid of the Lyapunov Krasovskii functional for the state feedback controller. Based on the cone complementarity linearization method, an optimization problem is also formulated for finding the controller gains subject to maximizing the domain of attraction. The main results are confirmed by numerical simulations.
Keywords:actuator saturation  cone complementarity linearization  fractional calculus  neutral-type delay  perturbations  robust stability
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