This paper aims to develop an applicable nonlinear control technique for aeroengines. An approximate nonlinear model is presented and a rational identification procedure is given. Exact input-output feedback linearization can be easily performed on this model. The controller derived can approximately linearize the plant such that the close-loop system exhibits linear input-output dynamics locally. Modeling and controlling are exemplified and validated by a small turbofan engine. Simulation results illustrate that the modeling accuracy is good and linear close-loop system dynamics are achieved.
Issue Section:
Gas Turbines: Controls, Diagnostics, and Instrumentation
Keywords:
aerospace engines,
aircraft control,
closed loop systems,
feedback,
jet engines,
linearisation techniques,
nonlinear control systems
Topics:
Control equipment,
Design,
Engines,
Feedback,
Modeling,
Dynamics (Mechanics),
Robustness,
Signals,
Errors,
Simulation
1.
Mu
, J.
, Rees
, D.
, and Liu
, G. P.
, 2005, “Advanced Controller Design for Aircraft Gas Turbine Engines
,” Control Eng. Pract.
0967-0661, 13
(8
), pp. 1001
–1015
.2.
Balas
, G. J.
, 2002, “Linear, Parameter-Varying Control and Its Application to a Turbofan Engine
,” Int. J. Robust Nonlinear Control
1049-8923, 12
(9
), pp. 763
–796
.3.
Frederick
, D. K.
, Garg
, S.
, and Adibhatla
, S.
, 2000, “Turbofan Engine Control Design Using Robust Multivariable Control Technologies
,” IEEE Trans. Control Syst. Technol.
1063-6536, 8
(6
), pp. 961
–970
.4.
Garg
, S.
, 1996, “A Simplified Scheme for Scheduling Multivariable Controllers and Its Application to a Turbofan Engine
,” ASME International Gas Turbine Institute Expo
, Birmingham, UK, Jun.5.
Gilbert
, W.
, Henrion
, D.
, Bernussou
, J.
, and Boyer
, D.
, 2010, “Polynomial LPV Synthesis Applied to Turbofan Engines
,” Control Eng. Pract.
0967-0661, 18
(9
), pp. 1077
–1083
.6.
Harefors
, M.
, 1997, “Application of H∞ Robust Control to the RM12 Jet Engine
,” Control Eng. Pract.
0967-0661, 5
(9
), pp. 1189
–1201
.7.
Leith
, D. J.
, and Leithead
, W. E.
, 2000, “Survey of Gain-Scheduling Analysis and Design
,” Int. J. Control
0020-7179, 73
(11
), pp. 1001
–1025
.8.
Rugh
, W. J.
, 1991, “Analytical Framework for Gain Scheduling
,” IEEE Control Syst. Mag.
0272-1708, 11
, pp. 79
–84
.9.
Shamma
, J. S.
, 1988, “Analysis and Design of Gain Scheduled Control
,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.10.
Gahinet
, P.
, Apkarian
, P.
, and Chilali
, M.
, 1996, “Affine Parameter-Dependent Lyapunov Function and Real Parametric Uncertainty
,” IEEE Trans. Autom. Control
0018-9286, 41
(3
), pp. 436
–442
.11.
Wu
, F.
, 1995, “Control of Linear Parameter Varying Systems
,” Ph.D. thesis, University of California, Berkeley, Berkeley, CA.12.
Bruzelius
, F.
, 2002, “LPV-Based Gain Scheduling: An H∞
-LMI Approach,” Ph.D. thesis, Chalmers University of Technology, Göteborg.13.
Apkarian
, P.
, Gahinet
, P.
, and Becker
, G.
, 1995, “Self-Scheduled H∞ Control of Linear Parameter-Varying Systems: A Design Example
,” Automatica
0005-1098, 31
(9
), pp. 1251
–1261
.14.
Wu
, F.
, Packard
, A.
, and Balas
, G.
, 2002, “Systematic Gain-Scheduling Control Design: A Missile Autopilot Example
,” Asian J. Control
, 4
(3
), pp. 341
–347
.15.
Rosa
, P.
, Silvestre
, C.
, Cabecinhas
, D.
, and Cunha
, R.
, 2007, “Autolanding Controller for a Fixed Wing Unmanned Air Vehicle
,” AIAA Paper No. 2007-6770.16.
Bruzelius
, F.
, Pettersson
, S.
, and Breitholtz
, C.
, 2004, “Linear Parameter-Varying Descriptions of Nonlinear Systems
,” Proceedings of the American Control Conference
, Boston, MA, pp. 1374
–1379
.17.
Reberga
, L.
, Henrion
, D.
, Bernussou
, J.
, and Vary
, F.
, 2005, “LPV Modeling of a Turbofan Engine
,” 16th IFAC World Congress
, pp. 3
–8
.18.
Wu
, F.
, and Prajna
, S.
, 2004, “A New Solution Approach to Polynomial LPV System Analysis and Synthesis
,” Proceedings of the American Control Conference
, Boston, MA, pp. 1362
–1367
.19.
Isidori
, A.
, 1989, Nonlinear Control Systems: An Introduction
, Springer-Verlag
, New York
.20.
Guardabassi
, G. O.
, and Savaresi
, S. M.
, 2001, “Approximate Linearization via Feedback—An Overview
,” Automatica
0005-1098, 37
(1
), pp. 1
–15
.21.
Wang
, J.
, and Rugh
, W.
, 1987, “Feedback Linearization Families for Nonlinear Systems
,” IEEE Trans. Autom. Control
0018-9286, 32
(10
), pp. 935
–940
.22.
Baumann
, W. T.
, and Rugh
, W. J.
, 1986, “Feedback Control of Nonlinear Systems by Extended Linearization
,” IEEE Trans. Autom. Control
0018-9286, 31
(1
), pp. 40
–46
.23.
Tsourdos
, A.
, Blumel
, A. L.
, and White
, B. A.
, 1999, “Flight Control Design for a Missile: An Approximate Feedback Linearization Approach
,” Proceedings of the Seventh Mediterranean Conference on Control and Automation
, Haifa, Israel, pp. 593
–602
.24.
Wang
, J.
, and Sundararajan
, N.
, 1995, “A Nonlinear Flight Controller Design for Aircraft
,” Control Eng. Pract.
0967-0661, 3
(6
), pp. 813
–825
.25.
Wang
, J.
, and Sundararajan
, N.
, 1996, “Extended Nonlinear Flight Controller Design for Aircraft
,” Automatica
0005-1098, 32
(8
), pp. 1187
–1193
.26.
Devaud
, E.
, Siguerdidjane
, H.
, and Font
, S.
, 2000, “Some Control Strategies for a High-Angle-of-Attack Missile Autopilot
,” Control Eng. Pract.
0967-0661, 8
(8
), pp. 885
–892
.27.
The Math Works, Inc.
, 2004, SIMULINK: User’s Guide
, Natick, MA.28.
Kerr
, L. J.
, Nemec
, T. S.
, and Gallops
, G. W.
, 1992, “Real-Time Estimation of Gas Turbine Engine Damage Using a Control-Based Kalman Filter Algorithm
,” ASME J. Eng. Gas Turbines Power
0742-4795, 114
(2
), pp. 187
–195
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.