Computation of nonlinear balanced realization and model reduction based on Taylor series expansion

Systems and Control Letters

Volumn 57, Issue 4, 2008, Pages 283-289

  Fujimoto, Kenji ^a   Tsubakino, Daisuke ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Computation; Model order reduction; Nonlinear systems

Indexed keywords

COMPUTER SIMULATION; LEARNING ALGORITHMS; LINEAR EQUATIONS; MATHEMATICAL MODELS; NONLINEAR ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION;

NONLINEAR BALANCED REALIZATION; RECURSIVE COMPUTATIONS; TAYLOR SERIES EXPANSION;

TAYLOR SERIES;

EID: 38949143932     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.08.015     Document Type: Article

References (15)

1. Fujimoto K., and Scherpen J.M.A. Eigenstructure of nonlinear Hankel operators. In: Isidori A., Lamnabhi-Lagarrigue F., and Respondek W. (Eds). Nonlinear Control in the Year 2000, Lecture Notes on Control and Information Science vol. 258 (2000), Springer, Paris 385-398
2. Fujimoto K., and Scherpen J.M.A. Balancing and model reduction for nonlinear systems based on the differential eigenstructure of Hankel operators. Proceedings of the 40th IEEE Conference on Decision and Control (2001) 3252-3257
3. Fujimoto K., and Scherpen J.M.A. Nonlinear balanced realization based on singular value analysis of Hankel operators. Proceedings of the 42nd IEEE Conference on Decision and Control (2003) 6072-6077
4. K. Fujimoto, J.M.A. Scherpen, Singular value analysis of Hankel operators for general nonlinear systems, in: Proceedings of the European Control Conference, 2003.
5. Fujimoto K., and Scherpen J.M.A. Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators. IEEE Trans. Automat. Control 50 1 (2005)
6. K. Fujimoto, J.M.A. Scherpen, Balanced realization and model reduction for nonlinear systems based on singular value analysis, preprint, submitted for publication, 2007.
7. Fujimoto K., and Tsubakino D. On computation of nonlinear balanced realization and model reduction. Proceedings of the American Control Conference (2006) 460-465
8. Hahn J., and Edgar T.F. An improved method for nonlinear model reduction using balancing of empirical gramians. Comput. Chem. Eng. 26 10 (2002) 1379-1397
9. A. Krener, Model reduction for linear and nonlinear control, The Bode Lecture in the 45th IEEE Conference on Decision and Control, 2006.
10. Lukes D.L. Optimal regulation of nonlinear dynamical systems. SIAM J. Control 7 (1969) 75-100
11. Newman A.J., and Krishnaprasad P.S. Computation for nonlinear balancing. Proceedings of the 37th IEEE Conference on Decision and Control (1998) 4103-4104
12. A. Newman, P.S. Krishnaprasad, Computing balanced realizations for nonlinear systems. in: Proceedings of the Symposium on Mathematical Theory of Networks and Systems, 2000.
13. Scherpen J.M.A. Balancing for nonlinear systems. Systems Control Letters 21 (1993) 143-153
14. J.M.A. Scherpen, Balancing for nonlinear systems, Ph.D. Thesis, University of Twente, Enschede, The Netherlands, 1994.
15. Scherpen J.M.A., and Gray W.S. Minimality and local state decompositions of a nonlinear state space realization using energy functions. IEEE Trans. Automat. Control AC-45 11 (2000) 2076-2086