J.M.A. Scherpen
University of Groningen
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Publication
Featured researches published by J.M.A. Scherpen.
conference on decision and control | 2008
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
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
J.C.M. van der Burg; Romeo Ortega; J.M.A. Scherpen; José Ángel Acosta; Houria Siguerdidjane
conference on decision and control | 2013
Ewoud Vos; J.M.A. Scherpen; A.J. van der Schaft
20th International symposium on mathematical theory of networks and systems (MTNS2012) | 2012
Ewoud Vos; J.M.A. Scherpen; A. J. van der Schaft
european control conference | 2009
T. Voss; J.M.A. Scherpen
Memorandum Faculty of Mathematical Sciences | 1993
J.M.A. Scherpen; Arjan van der Schaft
7th Workshop on Satellite Constellations and Formation Flying | 2013
Ewoud Vos; F. Shaik; J.M.A. Scherpen; A. J. van der Schaft
Memorandum Faculty of Mathematical Sciences | 1993
J.M.A. Scherpen; Arjan van der Schaft
Archive | 2014
Dimitri Jeltsema; A.J. van der Schaft; J.M.A. Scherpen; L. van der Sluis; C. De Persis