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Dive into the research topics where J.M.A. Scherpen is active.

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Featured researches published by J.M.A. Scherpen.


conference on decision and control | 2008

A structure preserving minimal representation of a nonlinear port-Hamiltonian system

J.M.A. Scherpen; A.J. van der Schaft

In this paper an approach to reduce nonlinear non-observable and non-strongly accessible port-Hamiltonian systems to an observable and strongly accessible port-Hamiltonian system, respectively, is treated. A local state decomposition (the nonlinear version of the Kalman decomposition) is instrumental for the approach that preserves the port-Hamiltonian structure. The strongly accessible reduction scheme goes along similar lines as the linear scheme. However, the observable reduction scheme is somewhat more involved. Under some additional assumptions, the reduction can be performed along the lines of the linear scheme. If these assumptions are not fulfilled, a reduction scheme for a zero-observable representation using duality in the co-energy coordinates is developed. Finally, the possibilities to apply the approaches of this paper to approximate order reduction by e.g., use of balancing procedures, is discussed.


conference on decision and control | 2013

Generalized incremental balanced truncation for nonlinear systems

Bart Besselink; van de N Nathan Wouw; J.M.A. Scherpen; H Henk Nijmeijer

The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.


european control conference | 2007

An experimental application of Total Energy Shaping Control: Stabilization of the inverted pendulum on a cart in the presence of friction

J.C.M. van der Burg; Romeo Ortega; J.M.A. Scherpen; José Ángel Acosta; Houria Siguerdidjane


conference on decision and control | 2013

Spatial distribution of satellite constellations on circular orbits

Ewoud Vos; J.M.A. Scherpen; A.J. van der Schaft


20th International symposium on mathematical theory of networks and systems (MTNS2012) | 2012

Port-Hamiltonian approach to deployment

Ewoud Vos; J.M.A. Scherpen; A. J. van der Schaft


european control conference | 2009

Structure preserving port-Hamiltonian discretization of a 1-D inflatable space reflector

T. Voss; J.M.A. Scherpen


Memorandum Faculty of Mathematical Sciences | 1993

Balancing of the normalized right coprime factorization of a nonlinear system

J.M.A. Scherpen; Arjan van der Schaft


7th Workshop on Satellite Constellations and Formation Flying | 2013

Control for formation flying of satellites : port-Hamiltonian approach

Ewoud Vos; F. Shaik; J.M.A. Scherpen; A. J. van der Schaft


Memorandum Faculty of Mathematical Sciences | 1993

Normalized coprime factorizations and balancing for unstable nonlinear systems

J.M.A. Scherpen; Arjan van der Schaft


Archive | 2014

ENergy-Based analysis and control of the grid: dealing with uncertainty and mARKets (ENBARK)

Dimitri Jeltsema; A.J. van der Schaft; J.M.A. Scherpen; L. van der Sluis; C. De Persis

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Ewoud Vos

University of Groningen

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C. De Persis

University of Groningen

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H Henk Nijmeijer

Eindhoven University of Technology

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Dimitri Jeltsema

Delft University of Technology

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J.C.M. van der Burg

Delft University of Technology

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