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Linear controller analysis for systems with input hysteresis nonlinearities

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3 Author(s)
Haddad, M.M. ; Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Chellaboina, V. ; Jinhyoung Oh

An output feedback control analysis framework for linear systems with input hysteresis nonlinearities is developed. By transforming the hysteresis nonlinearities into dissipative input-output dynamic operators, the dissipativity theory is used to analyze linear controllers for systems with input hysteresis nonlinearities. In particular, by representing the input hysteresis nonlinearity as a dissipative input-output dynamical operator with respect to a given supply rate, partial closed loop asymptotic stability with respect to part of the closed-loop state associated with the plant and the controller, is guaranteed in the face of an input hysteresis nonlinearity

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American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

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