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A novel scheme for output definition in feedback passivation of nonlinear systems
Authors:Fatemeh Jahangiri  Heidar Ali Talebi  Mohammad Bagher Menhaj  Christian Ebenbauer
Affiliation:1. Faculty of Electrical Engineering, Shahid Beheshti University, A.C. Tehran, Iran;2. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iranjahangiri_ftm@aut.ac.ir;4. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran;5. Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany
Abstract:In this paper, a set of conditions for defining output functions is derived such that a system can become passive by static state feedback. A key feature of the proposed set of conditions is that several output functions that satisfy these conditions can be defined without any transformation into a normal form or any need of linearisation of the system. In essence, this paper introduces a new connection between the Lyapunov stability concept and minimum phase property which is indeed a necessary condition of feedback passivity.
Keywords:Feedback passivity  minimum phase property  Lyapunov stability  output definition
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