An approximate non-linear model for aeroengine control

Control-oriented non-linear modelling is the requirement of reliable non-linear control for aeroengines. The complex engine model must be simplified such that advanced non-linear control techniques can be applied. Some simplified engine models lose the physical interpretability, and further, the analysability of stability and performance of the real closed-loop system, which eventually hinders their industrial implementation. Linear parameter-varying model attains certain success in aeroengine control in recent years, but its potential drawback has also been proposed in theoretical research. This article proceeds to reveal this problem from a model perspective. Then, an approximate non-linear model for aeroengine control is introduced, followed by an identification procedure for more efficient modelling. Simulations show good precision of this model in capturing the non-linear behaviour of a turbofan engine. Theoretically, controllers designed with this model can guarantee local stability and performance for the real plant.

[1]  Jeff S. Shamma,et al.  Analysis and design of gain scheduled control systems , 1988 .

[2]  P. Gahinet,et al.  Affine parameter-dependent Lyapunov functions and real parametric uncertainty , 1996, IEEE Trans. Autom. Control..

[3]  S. Pettersson,et al.  Linear parameter-varying descriptions of nonlinear systems , 2004, Proceedings of the 2004 American Control Conference.

[4]  Gary J. Balas,et al.  Linear, parameter‐varying control and its application to a turbofan engine , 2002 .

[5]  Didier Henrion,et al.  Polynomial LPV synthesis applied to turbofan engines , 2010 .

[6]  Lawton H. Lee,et al.  Control of linear parameter-varying systems using dynamic parameter measurement , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[7]  William Leithead,et al.  Survey of gain-scheduling analysis and design , 2000 .

[8]  M. Härefors.  Application of h∞ robust control to the RM12 jet engine , 1997 .

[9]  David Rees,et al.  Global Nonlinear Modeling of Gas Turbine Dynamics Using NARMAX Structures , 2002 .

[10]  William Leithead,et al.  On formulating nonlinear dynamics in LPV form , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[11]  Sergio M. Savaresi,et al.  Approximate linearization via feedback - an overview , 2001, Autom..

[12]  Sanjay Garg,et al.  Turbofan engine control design using robust multivariable control technologies , 1996 .

[13]  Rita Cunha,et al.  Autolanding Controller for a Fixed Wing Unmanned Air Vehicle , 2007 .

[14]  Didier Henrion,et al.  LPV MODELING OF A TURBOFAN ENGINE , 2005 .

[15]  Guo-Ping Liu,et al.  Advanced controller design for aircraft gas turbine engines , 2005 .

[16]  W. Leithead,et al.  Gain-Scheduled & Nonlinear Systems : Dynamic Analysis by Velocity-Based Linearisation Families , 1998 .

[17]  G. D. Sweriduk,et al.  Nonlinear Control of A High-Performance Aircraft Engine , 2006 .

[18]  William L. Garrard,et al.  Application of parameter-dependent robust control synthesis to turbofan engines , 1999 .

[19]  Michael Lichtsinder,et al.  Jet Engine Model for Control and Real-Time Simulations , 2006 .

[20]  Ian Postlethwaite,et al.  Design and Implementation of a Digital Multimode H∞ Controller for the Spey Turbofan Engine , 2010 .

[21]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[22]  Fredrik Bruzelius.  LPV-based gain scheduling : an H∞-LMI approach , 2002 .

[23]  Sanjay Garg.  A Simplified Scheme for Scheduling Multivariable Controllers and its Application to a Turbofan Engine , 1996 .

[24]  Gary J. Balas,et al.  Systematic Gain-Scheduling Control Design: A Missile Autopilot Example , 2008 .