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 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
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.