The multiobjective regulating and protecting control method presented here will enable improved control of multiloop switching control of an aeroengine. The approach is based on switching control theory, the switching performance objectives and the strategy are given, and a family of H proportional-integral-derivative controllers was designed by using linear matrix inequality optimization algorithm. The simulation shows that using the switching control design method not only can improve the dynamic performance of the engine control system but also can guarantee the stability in some peculiar occasions.

1.
Skira
,
C. A.
, and
Agnello
,
M.
, 1992, “
Control Systems for the Next Century Engines
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
114
, pp.
749
754
.
2.
Blakelock
,
J. H.
, 1991,
Automatic Control of Aircraft and Missiles
, 2nd ed.,
Wiley
,
New York
.
3.
Garg
,
S.
, 1993, “
Robust Integrated Flight/Propulsion Control Design for a STOVL Aircraft Using H∞ Control Design Techniques
,”
Automatica
0005-1098,
29
(
1
), pp.
129
145
.
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
, June.
5.
Watts
,
S. R.
, and
Garg
,
S.
, 1995, “
A Comparison of Multivariable Control Design Techniques for a Turbofan Engine Control
,” ASME Paper No. 95-GT-258.
6.
Menon
,
P. K.
,
Iragavarapu
,
V. R.
, and
Sweriduk
,
G. D.
, 1996, “
Software for Modern Multivariable Control of Aircraft Engines
,” Optimal Synthesis Inc, October.
7.
Isidori
,
A.
, 1989,
Nonlinear Control Systems: An Introduction
,
Springer-Verlag
,
New York
.
8.
da Costa
,
R. R.
,
Chu
,
Q. P.
, and
Mulder
,
J. A.
, 2003, “
Reentry Flight Controller Design Using Nonlinear Dynamic Inversion
,”
J. Spacecr. Rockets
0022-4650,
40
(
1
), pp.
64
71
.
9.
Littleboy
,
D. M.
, and
Smith
,
P. R.
, 1998, “
Using Bifurcation Methods to Aid Nonlinear Dynamic Inversion Control Law Design
,”
J. Guid. Control Dyn.
0731-5090,
21
(
4
), pp.
632
638
.
10.
Snells
,
S. A.
,
Enns
,
D. F.
, and
William
,
W. L.
, 1992, “
Nonlinear Inversion Flight Control for a Super Maneuverable Aircraft
,”
J. Guid. Control Dyn.
0731-5090,
15
(
4
), pp.
976
984
.
11.
Mulgund
,
S. S.
, and
Stengel
,
R. F.
, 1995, “
Aircraft Flight Control in Wind Shear Using Sequential Dynamic Inversion
,”
J. Guid. Control Dyn.
0731-5090,
18
(
5
), pp.
1084
1091
.
12.
Smar
,
R.
, and
Postlethwait
,
I.
, 1994, “
Multivariable Controller Design for a High Performance Aero-Engine
,”
Proceedings of the IEE Control Conference’94
, pp.
1312
1317
.
13.
Frederick
,
D.
,
Garg
,
S.
, and
Adibhatla
,
S.
, 1996, “
Turbofan Engine Control Design Using Robust Multivariable Control Technologies
,” AIAA Paper No. 96–2587.
14.
Adibhatla
,
S.
,
Garg
,
S.
,
Collier
,
G.
, and
Zhao
,
X.
, 1998, “
H∞ Control Design for a Jet Engine
,” AIAA Paper No. 98-3753.
15.
Peleties
,
P.
,
DeCarlo
,
R.
, 1991, “
Asymptotic Stability of m-Switched Systems Using Lyapunov-Like Functions
,”
Proceedings of American Control Conference’91
,
Boston, MA
, pp.
1679
1684
.
16.
Branicky
,
M. S.
, 1998, “
Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems
,”
IEEE Trans. Autom. Control
0018-9286,
43
(
4
), pp.
475
482
.
17.
Pettersson
,
S.
, and
Lennartson
,
B.
, 1996, “
Stability and Robustness for Hybrid Systems
,”
IEEE Conference on Decision and Control
,
Kobe, Japan
, pp.
1202
1207
.
18.
Ye
,
H.
,
Micheal
,
A. N.
, and
Hou
,
L.
, 1998, “
Stability Theory for Hybrid Dynamic Systems
,”
IEEE Trans. Autom. Control
0018-9286,
43
(
4
), pp.
461
474
.
19.
Daafouz
,
J.
,
Riedinger
,
P.
, and
Iung
,
C.
, 2002, “
Stability Analysis and Control Synthesis for a Switched System: A Switched Lyapunov Function Approach
,”
IEEE Trans. Autom. Control
0018-9286,
47
(
11
), pp.
1883
1887
.
20.
Hu
,
B.
,
Zhai
,
G.
, and
Michel
,
A. N.
, 2002, “
Hybrid Static Output Feedback Stabilization of Second-Order Linear Time-Invariant Systems
,”
Linear Algebr. Appl.
0024-3795,
351
(
15
), pp.
475
485
.
21.
Liberzon
,
D.
, 1999, “
Stabilizing A Linear Systems With Finite-State Hybrid Output Feedback
,”
Proceedings of the Seventh IEEE Mediterranean Conference on Control and Automation
,
Haifa, Israel
, pp.
176
183
.
22.
Litsyn
,
E.
,
Nepomnyashchikh
,
Y. V.
, and
Ponosov
,
A.
, 2000, “
Stabilization of Linear Differential Systems via Hybrid Feedback Controls
,”
SIAM J. Control Optim.
0363-0129,
38
(
5
), pp.
1468
1480
.
23.
Artstein
,
Z.
, 1996, “
Examples of Stabilization With Hybrid Feedback
,”
Hybrid Systems III
,
E.
Alur
et al.
, eds.
Springer-Verlag
,
Berlin
, pp.
173
185
.
24.
Zhai
,
G.
, and
Chen
,
X.
, 2002, “
Stabilizing Linear Time-Invariant Systems With Finite-State Hybrid Static Output Feedback
,”
IEEE International Symposium on Circuits and Systems
, Vol.
1
, pp.
249
252
.
25.
Savkin
,
A. V.
,
Skafidas
,
E.
, and
Evans
,
R. J.
, 1999, “
Robust Output Feedback Stabilizability via Controller Switching
,”
Automatica
0005-1098,
35
, pp.
69
74
.
26.
El-Farra
,
N. H.
, and
Christofides
,
P. D.
, 2001, “
Switching and Feedback Laws for Control of Constrained Switched Nonlinear Systems
,”
Chem. Eng. Sci.
0009-2509, p.
184
.
27.
Decarlo
,
R. A.
,
Branicky
,
M. S.
,
Pettersson
,
S.
, and
Lennartson
,
B.
, 2000, “
Perspectives and Results on the Stability and Stabilizability of Hybrid Systems
,”
Proc. IEEE
0018-9219,
88
(
7
), pp.
1069
1082
.
28.
Kassakian
,
J. G.
,
Schlecht
,
M. F.
, and
Verghese
,
G. C.
, 1991,
Principles of Power Electronic
,
Addison-Wesley
,
Boston, MA
.
29.
Leith
,
D. J.
,
Shorten
,
R. N.
,
Leithead
,
W. E.
,
Mason
,
O.
, and
Curran
,
P.
, 2003, “
Issues in the Design of Switched Linear Control System: A Benchmark Study
,”
Int. J. Adapt. Control Signal Process.
0890-6327,
17
(
2
), pp.
103
118
.
30.
Skafidas
,
E.
,
Evans
,
R. J.
,
Savkin
,
A. V.
, and
Pertersen
,
I.
, 1999, “
Stability Results for Switched Controller Systems
,”
Automatica
0005-1098,
35
(
4
), pp.
553
564
.
31.
Hespanha
,
J. P.
,
Liberzon
,
D.
, and
Morse
,
A. S.
, 2003, “
Overcoming the Limitations of Adaptive Control by Means of Logic-Based Switching
,”
Syst. Control Lett.
0167-6911,
49
(
1
), pp.
49
65
.
32.
Boyd
,
S.
,
Ghaoui
,
L. E.
,
Feron
,
E.
, and
Balakrishnan
,
V.
, 1994, “
Linear Matrix Inequalities in System and Control Theory
,”
SIAM Studies in Applied Mathematics
,
SIAM
,
Philadelphia, PA
, Vol.
15
.
33.
Bao
,
J.
,
Forbes
,
J. F.
, and
McLellan
,
P. J.
, 1999, “
Robust Multiloop PID Controller Design: A Successive Semidefinite Programming Approach
,”
Ind. Eng. Chem. Res.
0888-5885,
38
(
9
), pp.
3407
3419
.
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