Abstract
In this chapter the block-diagram based generation approach of low order Linear Fractional Representations (LFRs) is applied to the nonlinear controller described in Chapter 2. For this purpose, all individual parameter dependent blocks as well as all nonlinear blocks like saturations or rate limiters are replaced by their LFR counterparts in the block-diagram structure of the controller. Look-up tables are approximated by rational expressions before their replacements. The overall controller LFR is extracted from the resulting block-diagram by a standard linearization technique. The resulting controller LFR is interconnected with the LFRs of the actuators, sensors and of the nonlinear rigid aircraft or linear flexible aircraft generated in Chapters 3 or 4 to obtain the LFRs of the corresponding closed-loop systems. These closed-loop LFRs are used for stability and performance analysis in Chapters 12-16.
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
Döll, C.: La Robustesse de Lois de Commande pour des Structures Flexibles. PhD Thesis, Ecole Nationale Supérieure de l’Aéronautique et de l’Espace, SUPAERO, BP 4032, F–31055 Toulouse, France (July 2001)
Biannic, J.M., Döll, C., Magni, J.F.: Simulink-based tools for creating and simulating interconnected LFRs. In: IEEE Symposium on Computer–Aided Control System Design, Munich, Germany (October 2006)
Morelli, E.A., De Loach, R.: Wind tunnel database development using modern experiment design and multivariate orthogonal functions. In: Proc. 41st AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, pp. 2653–2664 (January 2003)
Magni, J.F.: Linear Fractional Representation Toolbox Version 2.0. Technical Report DCSD–T no 7/04, ONERA-DCSD, ONERA Centre de Toulouse, BP 4025, F–31055 Toulouse, France (January 2004)
Biannic, J.M., Tarbouriech, S., Farret, D.: A practical approach to performance analysis of saturated systems with application to fighter aircraft flight controllers. In: Proc. 5th IFAC Symposium on Robust Control Design ROCOND 2006, Toulouse, France (July 2006)
Roos, C., Biannic, J.M.: Aircraft–on–ground lateral control by an adaptive LFT–based anti–windup approach. In: IEEE Symposium on Computer–Aided Control System Design, Munich, Germany (October 2006)
Megretski, A., Rantzer, A.: System analysis via Integral Quadratic Constraints. IEEE Transactions on Automatic Control 42(6), 819–829 (1997)
Döll, C., Bérard, C., Knauf, A., Biannic, J.M.: LFT modelling of the 2–DOF longitudinal nonlinear aircraft behaviour. In: IEEE Symposium on Computer–Aided Control System Design, San Antonio, Texas (September 2008)
Döll, C., Bérard, C.: Modelling of the 3–DOF nonlinear aircraft behaviour via small standard forms. In: Proc. 26th ICAS Congress, Anchorage, Alaska, USA (September 2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Döll, C., Lescher, F., Roos, C. (2012). Generation of LFRs for a Nonlinear Controller and Closed-Loop Aircraft Models. In: Varga, A., Hansson, A., Puyou, G. (eds) Optimization Based Clearance of Flight Control Laws. Lecture Notes in Control and Information Sciences, vol 416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22627-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-22627-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22626-7
Online ISBN: 978-3-642-22627-4
eBook Packages: EngineeringEngineering (R0)