Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/modeling-design-and-simulation-of-systems-with-uncertainties-two-LlqTJ0oIVw
References (32)
-
N. Meslem, N. Ramdani, Y. Candau (2008)
Interval Observers for Uncertain Nonlinear Systems. Application to bioreactors.IFAC Proceedings Volumes, 41
-
M. Kieffer, E. Walter (2006)
GUARANTEED NONLINEAR STATE ESTIMATION FOR CONTINUOUS-TIME DYNAMICAL MODELS FROM DISCRETE-TIME MEASUREMENTSIFAC Proceedings Volumes, 39
-
L. Jaulin, E. Walter (1993)
Set inversion via interval analysis for nonlinear bounded-error estimationAutom., 29
-
J. Gouzé, Alain Rapaport, M. Hadj-Sadok (2000)
Interval observers for uncertain biological systemsEcological Modelling, 133
-
Max Müller (1927)
Über das Fundamentaltheorem in der Theorie der gewöhnlichen DifferentialgleichungenMathematische Zeitschrift, 26
-
L. Jaulin, M. Kieffer, Olivier Didrit, Éric Walter (2001)
Applied Interval Analysis -
M. Kieffer, E. Walter (2005)
Interval analysis for guaranteed non-linear parameter and state estimationMathematical and Computer Modelling of Dynamical Systems, 11
-
(2004)
Simulation of uncertain systems with guaranteed bounds -
T. Raïssi, Gaétan Videau, A. Zolghadri (2010)
Interval observer design for consistency checks of nonlinear continuous-time systemsAutom., 46
-
(1992)
Computation of guaranteed enclosures for the solutions of ordinary initial and boundary value-problem -
Marcelo Moisan, O. Bernard, J. Gouzé (2007)
Near optimal interval observers bundle for uncertain bioreactors2007 European Control Conference (ECC)
-
A. Rauh, E. Hofer, E. Auer (2006)
VALENCIA-IVP: A Comparison with Other Initial Value Problem Solvers12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)
-
U. Kulisch, R. Lohner, A. Facius (2001)
Perspectives on Enclosure Methods -
M. Berz, K. Makino (1998)
Verified Integration of ODEs and Flows Using Differential Algebraic Methods on High-Order Taylor ModelsReliable Computing, 4
-
K. Makino, M. Berz (2011)
SUPPRESSION OF THE WRAPPING EFFECT BY TAYLOR MODEL- BASED VERIFIED INTEGRATORS: LONG-TERM STABILIZATION BY PRECONDITIONINGInternational journal of differential equations and applications, 10
-
F. Chernousko (1993)
State Estimation for Dynamic Systems -
M. Berz, K. Makino (2006)
SUPPRESSION OF THE WRAPPING EFFECT BY TAYLOR MODEL-BASED VERIFIED INTEGRATORS : LONG-TERM STABILIZATION BY SHRINK WRAPPING -
Youdong Lin, M. Stadtherr (2006)
Validated solution of ODEs with parametric uncertaintiesComputer-aided chemical engineering, 21
-
E. Walter, M. Kieffer (2007)
Guaranteed nonlinear parameter estimation in knowledge-based modelsJournal of Computational and Applied Mathematics, 199
-
N. Meslem, N. Ramdani, Y. Candau (2008)
A Guaranteed State Bounding Estimation for Uncertain Non Linear Continuous Time Systems using Hybrid Automata -
J. Hoefkens, M. Berz, K. Makino (2000)
Efficient high-order methods for ODEs and DAEs -
(2001)
Automatic Differentiation : From Simulation to Optimization -
L. Jaulin (2002)
Nonlinear bounded-error state estimation of continuous-time systemsAutom., 38
-
(1980)
Optimal guaranteed estimates of indeterminacies with the aid of ellipsoids -
Michel Kieffer, Eric Walter (2011)
Guaranteed estimation of the parameters of nonlinear continuous‐time models: Contributions of interval analysisInternational Journal of Adaptive Control and Signal Processing, 25
-
M. Kletting (2009)
Verified methods for state and parameter estimators for nonlinear uncertain systems with applications in engineering -
T. Raïssi, N. Ramdani, Y. Candau (2004)
Set membership state and parameter estimation for systems described by nonlinear differential equationsAutom., 40
-
A. Rauh, E. Auer, J. Minisini, E. Hofer (2007)
Extensions of ValEncIA‐IVP for reduction of overestimation, for simulation of differential algebraic systems, and for dynamical optimizationPAMM, 7
-
W. Kuehn (1998)
Rigorously computed orbits of dynamical systems without the wrapping effectComputing, 61
-
N. Nedialkov, K. Jackson (2001)
A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations -
Geometric bounding toolbox -
E. Walter, M. Kieffer (2003)
Interval Analysis for Guaranteed Nonlinear Parameter EstimationIFAC Proceedings Volumes, 36
- Publisher
- Springer Berlin Heidelberg
- Copyright
- © Springer-Verlag Berlin Heidelberg 2011
- ISBN
- 978-3-642-15955-8
- Pages
- 199 –220
- DOI
- 10.1007/978-3-642-15956-5_10
- Publisher site
- See Chapter on Publisher Site
Abstract
[This paper deals with the estimation of the state vector of a nonlinear continuous-time state-space model, such as those frequently encountered in the context of knowledge-based modeling. Unknown and possibly time-varying parameters may be included in an extended state vector to deal with the simultaneous estimation of state and parameters. Observations depending on the (possibly extended) state are assumed to take place at discrete measurement times. Given bounds on the size of the additive measurement errors, guaranteed estimation should then provide bounds on the possible values of the state at any given time. Two recently developed approaches are presented and their performance is compared on a simple test case.]
Published: May 13, 2011