Analysis of Lur’e dominant systems in the frequency domain
Copyright policy )Analysis of Lur’e dominant systems in the frequency domain
Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion for the analysis of multistable and oscillatory Lur'e feedback systems.
Submitted to Automatica
4007 Control Engineering, Mechatronics and Robotics, limit cycles, 4901 Applied Mathematics, Systems and Control (eess.SY), Dynamical Systems (math.DS), Feedback control, Electrical Engineering and Systems Science - Systems and Control, circle criterion, Linear systems in control theory, Optimization and Control (math.OC), multistability, Lur'e systems, 37N35, 70K42, 34D05, 37C75,, 49 Mathematical Sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Nonlinear systems in control theory, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Frequency-response methods in control theory, dissipativity, 40 Engineering
4007 Control Engineering, Mechatronics and Robotics, limit cycles, 4901 Applied Mathematics, Systems and Control (eess.SY), Dynamical Systems (math.DS), Feedback control, Electrical Engineering and Systems Science - Systems and Control, circle criterion, Linear systems in control theory, Optimization and Control (math.OC), multistability, Lur'e systems, 37N35, 70K42, 34D05, 37C75,, 49 Mathematical Sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Nonlinear systems in control theory, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Frequency-response methods in control theory, dissipativity, 40 Engineering
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