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• Lund University
• Faculty of Engineering
• Automatic Control

Active Control of Compressor Systems

Active Control of Compressor Systems Based on New Methods of Nonlinear Dynamic Feedback Stabilization

This project deals with a number of facts related to the output feedback stabilization of the Moore-Greitzer compressor model. We show that quadratic feedback stabilization of the surge subsystem of the three-state Moore-Greitzer compressor model, which ensures an absence of additional equilibria in the augmented with stall dynamics closed loop system, implies convergence of all solutions to the unique equilibrium at the origin. Then some steps in developing such output feedback controller for surge subsystem are discussed, and a family of controllers is presented. Based on our new theoretical results on integrability, stability, nonlinear dynamic output feedback control, we wish to pursue active control application to compressor systems and experimental verification.

 

References:

 

Anton Shiriaev, Leonid Freidovich, Rolf Johansson, Anders Robertsson: "Global Stabilization for a Class of Coupled Nonlinear Systems with Application to Active Surge Control". Dynamics of Continous, Discrete and Impulsive Systems, Series B, Applications and Algorithms, 17:6b, pp. 875–908, December 2010.

Rolf Johansson: "Continuous-Time Model Identification and State Estimation Using Non-Uniformly Sampled Data". In Proc. 19th International Symposium on Mathematical Theory of Networks and Systems, July 2010.

Rolf Johansson: "Focus on: Subspace-based Identification and Its Applications". International Journal of Adaptive Control and Signal Processing, 23:12, pp. 1051–1052, December 2009.

Leonid Freidovich, Pedro La {H}era, Uwe Mettin, Anders Robertsson, Anton Shiriaev, Rolf Johansson: "Shaping Stable Periodic Motions of Inertia Wheel Pendulum: Theory and Experiments". Asian Journal of Control, 11:5, pp. 548–556, August 2009.

Anton Shiriaev, Rolf Johansson, Anders Robertsson, Leonid Freidovich: "Feedback Control Design for the 3-state Moore-Greitzer Compressor Model ". In Proc. 3rd IEEE Multi-conference on Systems and Control (MSC 2009), Saint Petersburg, Russia. July 8-10, 2009, July 2009.

Anton Shiriaev, Rolf Johansson, Anders Robertsson, Leonid Freidovich: "Criteria for Global Stability of Coupled Systems with Application to Robust Output Feedback Design for Active Surge Control". In Proc. 2009 IEEE Multi-conference on Systems and Control (MSC 2009), 8-10 July 2009, Saint Petersburg, Russia, July 2009.

Rolf Johansson, J. Collado, R. Lozano: "Strictly Positive Real Systems Based on Reduced-Order Observers". In Proceedings of the 47th IEEE Conference on Decision and Control, Dec. 9-11, 2008, Cancun, Mexico, December 2008.

Anton Shiriaev, Rolf Johansson, Anders Robertsson, Leonid Freidovich: "Separation Principle for a Class of Nonlinear Feedback Systems Augmented with Observers". In 17th IFAC World Congress, Seoul, Korea , July 2008.

Rolf Johansson: "Continuous-Time Model Identification Using Spectrum Analysis with Passivity-Preserving Model Reduction". In (Eds.): Identification of Continuous-time Models from Sampled Data, Springer-Verlag, London, March 2008.

J. Collado, R. Lozano, Rolf Johansson: "Using an Observer to Transform Linear Systems Into Strictly Positive Real Systems". IEEE Transactions on Automatic Control, 52:6, pp. 1082–1088, June 2007.

Leonid Freidovich, Anders Robertsson, Anton Shiriaev, Rolf Johansson: "Stable Periodic Motions of Inertia Wheel Pendulum via Virtual Holonomic Constraints". In Proc. 2007 European Control Conference, Kos, Greece, 2007.

Martin Ansbjerg Kjær, Rolf Johansson, Anders Robertsson: "Active Control of Thermoacoustic Oscillation". In Proceedings of the IEEE International Conference on Control Applications, Munich, Germany, October 2006.

Rolf Johansson, Anders Robertsson: "The Yakubovich-Kalman-Popov Lemma and Stability Analysis of Dynamic Output Feedback Systems". International Journal of Robust and Nonlinear Control, 16:2, pp. 45–69, January 2006.

Anton Shiriaev, Rolf Johansson, Anders Robertsson, Leonid Freidovich: "Output Feedback Stabilization of the Moore-Greitzer Compressor Model". In Proc. 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, Seville, Spain, December 12-15, 2005, December 2005.

Anton Shiriaev, Rolf Johansson, Anders Robertsson: "Some Comments on Output Feedback Stabilization of the Moore-Greitzer Compressor Model". In Proc. {IEEE} Conf. Decision and Control (CDC'04), Atlantis, Bahamas, December 2004.

Anton Shiriaev, Rolf Johansson, Anders Robertsson: "Sufficient Conditions for Dynamical Output Feedback Stabilization Via the Circle Criterion". In Proc. {IEEE} Conf. Decision and Control (CDC03), Maui, HI, December 2003.

 

2013-03-21

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