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Lyapunov Stability and Strong Passivity Analysis for Nonlinear Descriptor Systems
2013
IEEE Transactions on Circuits and Systems Part 1: Regular Papers
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Using the given passivity theorems, strongly absolute stability of Lur'e type descriptor systems is discussed. ...
The new concepts facilitate the formulation of the relationship between the stability and passivity of nonlinear descriptor systems. ...
Passivity Theorem for Nonlinear Descriptor Systems Using Theorem 2.1, we have the following result which establishes the connection between stability and strong passivity of nonlinear descriptor systems ...
doi:10.1109/tcsi.2012.2215396
fatcat:s634ve3bmbaplfvwpxe5z6fham
Stability of networked passive switched systems
2010
49th IEEE Conference on Decision and Control (CDC)
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INTRODUCTION Passive systems theory is a widely used tool for the analysis and synthesis of nonlinear systems [1], [2] . Passivity is a characterization of system behavior based on energy. ...
Passivity can be used to assess the stability of a single system, but it is more restrictive than directly showing Lyapunov stability. ...
This function is used to show passivity in the following definition.
Definition 1. Consider a nonlinear system (1). ...
doi:10.1109/cdc.2010.5717941
dblp:conf/cdc/McCourtA10
fatcat:lw52q5p42fg3jj7sxdcoanfefa
Passivity Based Stability Condition for Interefered Digital Filters
2017
Indonesian Journal of Electrical Engineering and Computer Science
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Passivity is a way to characterize input-output stability of a system, that is, supplied bounded input energy produces bounded output energy. ...
The presented criterion also ensures asymptotic stability of the state-space digital filter with zero external disturbances. ...
The notation used to represent identity matrix of appropriate dimension is I . Any vector or matrix norm is indicated by . . ...
doi:10.11591/ijeecs.v6.i2.pp431-437
fatcat:uaavoxnuqbgpdi5prs5ed4qhfu
Passivity and Passivity Indices of Nonlinear Systems Under Operational Limitations using Approximations
[article]
2019
arXiv
pre-print
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For each approach, conditions for stability, dissipativity, and passivity of a system, as well as methods to find its passivity indices, are given. ...
In particular, we will provide formulations for passivity and passivity indices of a nonlinear system given operational limitations on the input and state variables. ...
Besides, under mild assumptions, passivity implies stability (in the sense of L 2 or asymptotic stability). ...
arXiv:1901.00852v1
fatcat:7rignj3v3zc6zd42aknjcqydze
Passivity Conditions for Plug-and-Play Operation of Nonlinear Static AC Loads
[article]
2020
arXiv
pre-print
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Together with our plug-and-play VSI controller, this allows us to use passivity arguments to infer asymptotic voltage and frequency stability for AC microgrids with arbitrary topologies. ...
However, the stability analysis of the closed-loop system requires a load-connected topology, in contrast to real grids where loads are arbitrarily located. ...
Asymptotic frequency stability is therefore implicitly present in an asymptotically stable dq system. ...
arXiv:2002.05057v1
fatcat:7euzbjgfbnclnlffccvikmw27q
Model reduction for nonlinear systems with incremental gain or passivity properties
2013
Automatica
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In this setting, conditions are given under which internal stability, as well as passivity or a bound on the L 2 gain are preserved for the reducedorder nonlinear model. ...
In this paper, model reduction techniques for a class of nonlinear systems are proposed. ...
Incrementally passive systems The ideas as used in Sections 5.1 and 5.2 can be exploited in the development of a model reduction procedure for the preservation of passivity. ...
doi:10.1016/j.automatica.2013.01.004
fatcat:wtfdsvijbjce5ppxjjk7bpjqw4
Control of Networked Switched Systems Using Passivity and Dissipativity
2013
at - Automatisierungstechnik
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This paper provides conditions which guarantee stability of interconnected switched systems which may be used to model CPS. ...
Then methods for maintaining stability of passive switched systems that are connected over a network with delays are presented. Schlagwörter: ...
The passivity property can be used when considering interconnections of systems. The following results shows stability of the feedback and parallel interconnections of two passive systems. Theorem 6. ...
doi:10.1515/auto.2013.1040
fatcat:evxdxml7ufdyzhqcp6bg72fcbi
Robust Output Feedback Passivity-Based Variable Structure Controller Design for Nonlinear Systems
2019
Journal of Control Science and Engineering
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This paper examines the use of an output feedback variable structure controller with a nonlinear sliding surface for a class of SISO nonlinear systems in the presence of matched disturbances. ...
Then the passivity-based controller including a discontinuous term can guarantee that the closed-loop system asymptotically converges to the sliding surface. ...
Acknowledgments This work is supported by the National Science Council of Taiwan under grant MOST 107-2221-E-161-003. ...
doi:10.1155/2019/9156261
fatcat:7nfkznqfdrbyxfzuk3uigncvwi
Nonlinear control methods for single-ended primary-inductor power converters
2017
IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society
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Two different control laws based on the passivity and back-stepping technique are examined and designed to have asymptotically global stability in the system. ...
The control law intuitively should be nonlinear to drive and guarantee the system stability. ...
The converter system is thus locally stable with limited variations on the load demand side. Several approaches using nonlinear control have been proposed to improve the system stability. ...
doi:10.1109/iecon.2017.8216227
dblp:conf/iecon/BiricikNKB17
fatcat:4nfp2de34vc3hmjfakbt7hvrdq
On relationships among passivity, positive realness, and dissipativity in linear systems
2014
Automatica
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These involve connections between classes of passive systems and finite-gain L2 stability as well as asymptotic stability. ...
The notions of passivity and positive realness are fundamental concepts in classical control theory, but the use of the terms has varied. ...
Likewise, when ρ = 0 and ν is strictly positive the system is strictly input passive. Passivity indices can be used to assess stability of individual systems as well as systems in feedback. ...
doi:10.1016/j.automatica.2014.02.013
fatcat:637uviuvrbaxtjthcq73wyp46y
Discrete-time inverse optimal control for a reaction wheel pendulum: a passivity-based control approach
Control óptimo en tiempo discreto para unpéndulo con rueda dereacción: un enfoque de control basado en pasividad
2020
Revista UIS Ingenierías
Control óptimo en tiempo discreto para unpéndulo con rueda dereacción: un enfoque de control basado en pasividad
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The main advantage of the proposed approach is that it allows to guarantee asymptotic stability convergence using a quadratic candidate Lyapunovfunction. ...
In this paper it is presented the design of a controller for a reaction wheel pendulum using a discrete-time representation via optimal control from the point of view of passivity-based control analysis ...
mechanism, with the possibility of ensuring asymptotic stability, passivity and optimal design based on the minimization of the Lagrangian function of the system. ...
doi:10.18273/revuin.v19n4-2020011
fatcat:fmkrcg2kmnhybld5wnhl2mhtvq
Passive linear time-varying systems: State-space realizations, stability in feedback, and controller synthesis
2010
Proceedings of the 2010 American Control Conference
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We also show that both linear time-varying input-state and output strictly passive systems when connected in negative feedback with a sector bounded, memoryless nonlinearity are also globally asymptotically ...
We show that an output strictly passive system negatively interconnected with an input-state strictly passive system is globally asymptotically stable. ...
x 2 (t) We wish to stabilize the system via the passivity theorem using an LTV controller. ...
doi:10.1109/acc.2010.5530792
fatcat:cqgtungtmfcdnctxhhleqw5yg4
Links between Dynamic Physical Systems and Operator Theory Issues Concerning Energy Balances and Stability
2004
American Journal of Applied Sciences
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This study relates the properties of operators with the well-known concepts of positive realness and passivity properties in dynamic systems and their associate transfer functions. ...
Then, they are related to hyper-stability and properties of transfer functions while the hyper-stability theorem is revisited and interpreted. ...
ACKNOWLEDGEMENT The author is very grateful to MCYT by its partial support of this work through Project DPI 2003-00164 and to UPV/EHU by its support through Grant 9 / UPV 00I06.I06-15263/2003. ...
doi:10.3844/ajassp.2004.248.254
fatcat:5duwpfc2crf4xh5z3zg3iwy4x4
Page 3511 of Mathematical Reviews Vol. , Issue 91F
[page]
1991
Mathematical Reviews
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In this paper, the asymptotic stability of some classes of nonlinear control systems is studied. ...
It is also shown that the almost-passive property of systems can be used to extend the applicability of simple nonlinear adaptive algorithms to nonstationary systems, since it guarantees the global stability ...
Control design for switched systems using passivity indices
2010
Proceedings of the 2010 American Control Conference
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This paper presents a framework for control design of interconnected nonlinear switched systems using passivity and passivity indices. ...
The main result of the paper shows how the indices can be compared between two systems in feedback to verify stability. ...
Stability Analysis Using the passivity indices provides more information about a system beyond the binary characterization of passive or not passive. ...
doi:10.1109/acc.2010.5531157
fatcat:dqp5pseav5fxlizejkj5ujbyne
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