Abstract
In this contribution, a global optimization technique using interval analysis applied to the simulation of an aircraft elevator control system with possible sensor tolerances is presented. The aircraft elevator is described as an uncertain nonlinear discrete time system. Sensor tolerances can be modeled in a natural way by means of interval arithmetics which helps to achieve reliable results in the simulation. However, a simulation approach using merely natural interval extensions leads to overestimations rendering the result useless. Therefore, we employ a global optimization algorithm which allows the inclusion of the actual dynamic system behavior with a predefined and guaranteed overestimation limit. All algorithms are implemented in MATLAB.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Alefeld, J. Herzberger: Introduction to Interval Computations, Academic Press, New York, 1983.
E. Hansen: Global Optimization Using Interval Analysis, Marcel Dekker, New York, 1992.
The MathWorks, Inc. (Publisher): MATLAB Version 5.3, The Language of Technical Computing, 1999.
S. M. Rump: INTLAB–INTerval LABoratory, in T. Csender (Ed.), Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, pp. 77–104, 1998.
S. M. Rump: Fast and Parallel Interval Arithmetic, Bit, Vol. 39, No. 3, pp. 534–54, Sept. 1999.
B. Tibken, E. P. Hofer: Simulation of Controlled Uncertain Systems, Applied Mathematics and Computation, Vol. 70, pp. 329–338, 1995.
B. Tibken, E. P. Hofer, W. Seibold: Quality Control of Valve Push Rods Using Interval Arithmetic, Proceedings of the 14th IFAC World Congress, Beijing, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Heeks, J., Hofer, E.P., Tibken, B., Lunde, K., Thorwart, K. (2001). Simulation of a Controlled Aircraft Elevator under Sensor Uncertainties. In: Krämer, W., von Gudenberg, J.W. (eds) Scientific Computing, Validated Numerics, Interval Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6484-0_19
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6484-0_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3376-8
Online ISBN: 978-1-4757-6484-0
eBook Packages: Springer Book Archive