A Backstepping Controller for a Nonlinear Partial Diierential Equation Model of Compression System Instabilities

  title={A Backstepping Controller for a Nonlinear Partial Diierential Equation Model of Compression System Instabilities},
  author={oskuldur Ari Haukssony and Igor Mezi},
  • oskuldur Ari Haukssony, Igor Mezi
  • Published 1997
We prove the existence and uniqueness of solutions for the Moore-Greitzer nonlinear partial diierential equation model for compression system instabilities with mild conditions on the shape of the throttle control. To achieve this, the model is reformulated as an evolution equation on a Banach space. Using this new representation, we design a backstepping control of the model. Global stabilization of any axisymmetric equilibrium to the right of the peak of the compressor characteristic is… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 12 extracted citations

Local observer for axial flow aeroengine compressors

Proceedings of the 10th World Congress on Intelligent Control and Automation • 2012
View 1 Excerpt

Nonlinear dynamic output feedback stabilization of Moore-Greitzer models with quadratic constraints

2011 9th IEEE International Conference on Control and Automation (ICCA) • 2011
View 1 Excerpt


Publications referenced by this paper.
Showing 1-8 of 8 references

Nonlinear Evolution Equations{Global Behavior of Solutions

A. Haraux
View 4 Excerpts
Highly Influenced

Nonlinear and Adaptive Control Design [Book Review]

IEEE Transactions on Automatic Control • 1996
View 1 Excerpt

Backstepping Designs for Jet Engine Stall and Surge ControlM

J. D. PaduanoMassachusetts
View 1 Excerpt

Distributed non- linear modeling and stability analysis of axial compressor stall and surge

C. A. Mansoux, D. L. Gysling, J. D. Setiawan, J. D. Paduano
In \Proc. American Control Conference", • 1994
View 1 Excerpt

Bifurcation analysis of axial ow compressor stability

F. E. McCaughan
SIAM Journal of Applied Mathematics • 1990
View 1 Excerpt

A theory of post-stall transients in axial compression systems:Part 1 - Development of equations

F. K. Moore, E. M. Greitzer
ASME Journal of Engineering for Gas Turbines and Power 108, • 1986
View 2 Excerpts

Spectral Theory and Di erential Equations", pages 25{70

T. Kato
View 1 Excerpt

Similar Papers

Loading similar papers…