Model-based design has attracted much attention in the field of aircraft engine control in recent years. As an aircraft engine is a complicated thermomechanical system, it can only be represented by a nonlinear process model. This necessitates the study of the nonlinear control techniques. Based on our recent results, this paper proposes a novel design approach based on a generalized Gronwall-Bellman lemma. Important results are obtained on bounding behavior of the nonlinear states of the engine. The proposed method is easy to design and tune with the appealing feature of enlarging the feasible control envelope. Finally, a simulation study is provided to validate the effectiveness of the control design approach.

References

References
1.
Zhou
,
W.
,
Shan
,
X.
,
Geng
,
Z.
, and
Huang
,
J.
, 2008, “
Establishment of State Space Model of Turboshaft Engine With Self-Optimized Method
,”
J. Aerospace Power
,
23
(
12
), pp.
2314
2320
.
2.
Zheng
,
T.
,
Wang
,
X.
,
Luo
,
X.
, and
Li
,
Q.
, 2005, “
Modified Method of Establishing the State Space Model of Aeroengine
,”
J. Propul. Technol.
,
26
(
1
), pp.
46
49
.
3.
Zhao
,
L.
,
Fan
,
D.
, and
Shan
,
W.
, 2008, “
Single-Spool Turbofan Engine Model Identification
,”
J. Propulsion Technol.
,
29
(
6
), pp.
733
736
.
4.
Yang
,
G.
,
Sun
,
J.
,
Yao
,
H.
,
Zang
,
J.
,
Liu
,
A.
,
Yi
,
X.
, and
Zhang
,
L.
, 2006, “
Experimental Verification of H∞/LTR Method for Aeroengine Control Systems
,”
Acta Aeronaut. Astronaut. Sinica
,
27
(
5
), pp.
773
777
.
5.
Härefors
,
M.
, 1997, “
Application of H∞ Robust Control to the RM12 Jet Engine
,”
Control Eng. Pract.
,
5
(
9
), pp.
1189
1201
.
6.
Frederick
,
D. K.
,
Garg
,
S.
, and
Adibhatla
,
S.
, 2000, “
Turbofan Engine Control Design Using Robust Multivariable Control Technologies
,”
IEEE Trans. Control Syst. Technol.
,
8
(
6
), pp.
961
970
.
7.
Wang
,
H.
,
Guo
,
Y.
, and
Li
,
G.
, 2008, “
Aero-Engine Control Using Two-Degrees-of-Freedom H∞ Approach
,”
Proceedings of ISSCAA
, pp.
1
5
.
8.
Lichtsinder
,
M.
, and
Levy
,
Y.
, 2006, “
Jet Engine Model for Control and Real-Time Simulations
,”
J. Eng. Gas Turbines Power
,
128
, pp.
745
753
.
9.
Bendtsen
,
J. D.
,
Stoustrup
,
J.
, and
Trangbak
,
K.
, 2003, “
Bumpless Transfer Between Advanced Controllers With Application to Power Plant Control
,”
Proceedings of the 42nd IEEE Conference on Decision and Control
, pp.
2059
2064
.
10.
Zheng
,
K.
,
Basar
,
T.
, and
Bentsman
,
J.
, 2009, “
H∞ Bumpless Transfer Under Controller Uncertainty
,”
IEEE Trans. Autom. Control
,
54
(
7
), pp.
1718
1723
.
11.
Martin
,
S.
,
Wallace
,
I.
, and
Bates
,
D.G.
, 2008, “
Development and Validation of a Civil Aircraft Engine Simulation Model for Advanced Controller Design
,”
J. Eng. Gas Turbines Power
,
130
(
5
), p.
051601
.
12.
Tumer
,
M.
,
Aouf
,
N.
,
Bates
,
D. G.
,
Postlethwaite
,
I.
, and
Boulet
,
B.
, 2002, “
A Switching Scheme for Full-Envelope Control of a V/STOL Aircraft Using LQ Bumpless Transfer
,”
Proceedings of 2002 IEEE International Conference on Control Applications
, pp.
120
125
.
13.
Apkarian
,
P.
,
Gahinet
,
P.
, and
Becker
,
G.
, 1995, “
Self-Scheduled H∞ Control of Linear Parameter-Varying Systems: A Design Example
,”
Automatica
,
31
, pp.
1251
1261
.
14.
Wu
,
F.
,
Yang
,
X.
,
Packard
,
A.
, and
Becker
,
G.
, 1996, “
Induced L2-Norm Control for LPV Systems With Bounded Parameter Variation Rates
,”
Int. J. Robust Nonlinear Control
,
6
, pp.
983
998
.
15.
Stilwell
,
D.
, and
Rugh
,
W.
, 2000, “
Stability Preserving Interpolation Methods for the Synthesis of Gain Scheduled Controllers
,”
Automatica
,
36
, pp.
665
671
.
16.
Chang
,
Y.
, and
Rasmussen
,
B.
, 2008, “
Stable Controller Interpolation for LPV Systems
,”
Proceedings of ACC
, pp.
3082
3087
.
17.
Brunell
,
B. J.
,
Bitmead
,
R. R.
, and
Connolly
,
A. J.
, 2002, “
Nonlinear Model Predictive Control of an Aircrift Gas Turbine Engine
,”
Proceedings of the 41st IEEE Conference on Decision and Control
, Las Vegas, NV.
18.
Fleming
,
P. J.
, and
Purshouse
,
R. C.
, 2002, “
Evolutionary Algorithms in Control Systems Engineering: A Survey
,”
Control Eng. Pract.
,
10
(
11
), pp.
1223
1241
.
19.
Lyantsev
,
O. D.
,
Breikin
,
T. V.
,
Kulikov
,
G. G.
, and
Arkov
,
V. Y.
, 2003, “
On-Line Performance Optimization of Aero Engine Control System
,”
Automatica
,
39
, pp.
2115
2121
.
20.
Yao
,
Y.
, and
Sun
,
J.
, 2008, “
Aeroengine Direct Thrust Control Based on Neural Network Inverse Control
,”
J. Propul. Technol.
,
29
(
2
), pp.
249
252
.
21.
Qi
,
X.
, and
Fan
,
D.
, 2005, “
Application of Improved FSQP Algorithm to Turbofan Engine Nonlinear Multivariable Control
,”
J. Propul. Technol.
,
26
(
1
), pp.
58
61
.
22.
Pachpatte
,
B.
, 1973, “
A Note on Gronwall-Bellman Inequality
,”
J. Math. Anal. Appl.
,
44
, pp.
758
762
.
23.
Desoer
,
C.
, and
Viddyasagar
,
M.
, 1975,
Feedback Systems: Input-Output Properties
,
Academic Press
,
New York
.
24.
Viddyasagar
,
M.
, 1993,
Nonlinear Systems Analysis
,
2nd ed.
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
25.
Shimizu
,
K.
, 2000, “
Nonlinear State Observers by Gradient Descent Method
,”
Proceedings of the IEEE Conference on Control & Applications
, Anchorage, AK.
26.
Pachpatte
,
B.
, 1975, “
On Some Generalizations of Bellman’s Lemma
,”
J. Math. Anal. Appl.
,
51
, pp.
141
150
.
27.
Pachpatte
,
B.
, 1975, “
On Some Integral Inequalities Similar to Bellman-Bihari Inequalities
,”
J. Math. Anal. Appl.
,
49
, pp.
794
802
.
28.
El Alami
,
N.
, 1995, “
A Generalization of Gronwall’s Lemma
,”
Proceedings of the International Conference on Differential Equations
, Marrakesh, Morocco.
29.
N’Doye
,
I.
,
Zasadzinski
,
M.
,
Darouach
,
M.
,
Radhy
,
N.
, and
Bouaziz
,
A.
, 2011, “
Exponential Stabilization of a Class of Nonlinear Systems: A Generalized Gronwall-Bellman Lemma Approach
,”
Nonlinear Anal: Theory, Methods Appl.
,
74
, pp.
7333
7341
.
30.
Adibhatla
,
S.
,
Brown
,
H.
, and
Gastineau
,
Z.
, 1992, “
Intelligent Engine Control (IEC)
,”
ALASA 92-384, 28th Joint Propulsion Conference Exhibit
, Nashville, TN.
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