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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.
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No potential conflict of interest was reported by the authors.
Additional information
Notes on contributors
Fatemeh Jahangiri
Fatemeh Jahangiri received the B.Sc. degree in Control Engineering from Ferdowsi University, Mashhad, Iran in 2006, the M.Sc. degree in Control Engineering from Amirkabir University of Technology, Tehran, Iran in 2009 and Ph.D degree in Control Engineering from Amirkabir University of Technology, Tehran, Iran in 2016. She was also as a visitor at IST institute, Stuttgart University, Germany for one year form 2013. Currently, she is a faculty member of Control Engineering Group in Department of Electrical Engineering in Shahid Beheshti University, Tehran, Iran. Her research interests include non-minimum phase systems, adaptive control, and nonlinear control.
Heidar Ali Talebi
Heidar Ali Talebi received the B.S. degree in electronics from Ferdowsi University, Mashhad, Iran, in 1988, the M.Sc. degree in electronics (with first class honours) from Tarbiat Modarres University, Tehran, Iran, in 1991, and the Ph.D. degree in electrical and computer engineering from Concordia University, Montreal, QC, Canada, in 1997. He held several postdoctoral and research positions at Concordia University and University of Western Ontario, before joining Amirkabir University of Technology in 1999 where he is currently a Professor there. From 2002 to 2004, he also served as the Head of Control Systems Group in Amirkabir University. His research interests include control, robotics, fault diagnosis and recovery, intelligent systems, adaptive control, nonlinear control, and real-time systems.
Mohammad Bagher Menhaj
Mohammad Bagher Menhaj received his Ph.D. degree from Electrical and Computer Engineering at OSU in 1992. After one year he received with OSU as postdoctoral degree, in 1993. He is author and co-author of more than 300 technical papers, and four books: Fundamentals of Neural Networks, 1998, Application of Computational Intelligence in Control, 1998, Neural Networks, 2000, and Fuzzy Computations, 2007, all in Persian. His main research interests are: theory of computational intelligence, learning automata, adaptive filtering and their applications in control, power systems, image processing, pattern recognition, and communications, and other areas of interests are: theory of rough set and knowledge discovery. Prof. Menhaj, joined the Amirkabir University of Technology, Tehran, Iran, in 1993. December 2000 to August 2003, he was with School of Electrical and Computer Engineering and Department of Computer Science at OSU as Visiting Faculty Member and Research Scholar.
Christian Ebenbauer
Christian Ebenbauer received his MS (Dipl.-Ing.) in Telematics (Electrical Engineering and Computer Science) from Graz University of Technology, Austria, in 2000 and his PhD (Dr.-Ing.) in Mechanical Engineering from the University of Stuttgart, Germany, in 2005. After having completed his PhD, he was a Postdoctoral Associate and an Erwin Schrödinger Fellow at the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA. Since April 2009, he is a full professor of Computations in Control at the Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany. His research interests lie in the areas of control, optimisation and system-theoretic inspired computation. Prize of the Vereinigung von Freunden der Universität Stuttgart for doctoral thesis 2006, DFG Emmy Noether Programme 2008.