This paper presents velocity control of a Solid Fuel Ramjet (SFRJ) in variable flight conditions. Since SFRJ is classified as an air breathing propulsion system its performance depends on the air flow over the solid fuel. Dynamic modeling of internal ballistics of SFRJ is developed using gas dynamic relations. This results in a set of nonlinear differential equations. The nonlinearity of equations comes from the fact that gas dynamic relations are generally nonlinear and since the value of some ballistic properties of SFRJ are inaccurate, uncertainties are available in dynamic equations. Then, an adaptive sliding controller is designed for velocity regulation of SFRJ. In order to design the controller the dynamic model is first identified using neural networks. Then the identified model is used to design the control system with the concept of sliding surfaces. The results show the effective performance of controller in velocity regulation of SFRJ in variable flight conditions. Also, the controller showed a good performance in disturbance rejection which proves its robustness.

1.
Steven L., and Netzer D. W., “Solid-Fuel Ramjets,” Tactical Missile Propulsion, Chapter 13, AIAA, 1995.
2.
Campbell
W. H.
,
Ko
B. N.
,
Lowe
S. R.
, and
Netzer
D. W.
, “
Solid-Fuel Ramjet Fuel Regression Rate/Thrust Modulation
,”
J. Propulsion and Power
, Vol.
8
, No.
3
,
1992
, pp.
624
629
.
3.
Stevenson
C. A.
, and
Netzer
D. W.
, “
Primitive-Variable Model Applications to Solid-Fuel Ramjet Combustion
,”
J. Spacecraft
, Vol.
18
, No.
1
,
1981
, pp.
89
94
.
4.
Netzer
D. W.
, “
Modeling Solid-Fuel Ramjet Combustion
,”
J. Spacecraft
, Vol.
14
, No.
12
,
1977
, pp.
762
766
.
5.
Nusca
M. J.
,
Chkravarthy
S. R.
, and
Goldberg
U. C.
, “
Computational Fluid Dynamics Capability for Solid-Fuel Ramjet Projectile
,”
J. Propulsion and Power
, Vol.
6
, No.
3
,
1988
, pp.
256
262
.
6.
Ben-Arosh
R.
, and
Gany
A.
, “
Similarity and Scale Effects in Solid Fuel Ramjet Combustors
,”
J. Propulsion and Power
, Vol.
8
, No.
3
,
1992
, pp.
615
623
.
7.
Krishnan
S.
, and
George
P.
, “
Solid Fuel Ramjet Combustor Design
,”
Prog. Aerospace Science
, Vol.
34
,
1998
, pp.
219
256
.
8.
Pelosi-Pinhas
D.
, and
Gany
A.
, “
Solid-Fuel Ramjet Regulation by Means of an Air-Division Valve
,”
J. Propulsion and Power
, Vol.
16
, No.
6
,
2000
, pp.
1069
1074
.
9.
Krishnan
S.
,
George
P.
, and
Sathyan
S.
, “
Design and Control of Solid-Fuel Ramjet for Pseudovaccum Trajectories
,”
J. Propulsion and Power
, Vol.
16
, No.
5
,
2000
, pp.
815
822
.
10.
Pelosi-Pinhas
D.
, and
Gany
A.
, “
Bypass-Regulated Solid Fuel Ramjet Combustor in Variable Flight Conditions
,”
J. Propulsion and Power
, Vol.
19
, No.
1
,
2003
, pp.
73
80
.
11.
Keirsey
J. L.
, “
Solid Fuel Ramjet Flow Control Device
,”
United States Patent
628
688
688
,
1986
.
12.
Chen
C. T.
, and
Chang
W. D.
, “
A Feedforward Neural Network with Function Shape Autotuning
,”
Neural Networks
, Vol.
9
, No.
4
,
1996
, pp.
627
641
.
13.
Chang
W. D.
, and
Hwang
R. C.
,
Hsieh
J. G.
, “
A Multivariable On-line Adaptive PID Controller Using Auto-tuning Neurons
,”
Engineering Applications of Artificial Intelligence
, No.
16
,
2003
, pp.
57
63
.
14.
Chang
W. D.
, “
Robust Adaptive Single Neural Control for a Class of Uncertain Nonlinear Systems with Input Nonlinearity
,”
International Journal of Information Sciences
, Vol.
171
,
2005
, pp.
261
271
.
15.
Zuerow M. J., and Hoffman, and J. D. Gas Dynamics, John Wiley and Sons, New York, 1976.
16.
Gordon S., and McBride J. B., “Computer Program for Calculation of Complex Chemical Equilibrium Compositions, Rocket Performance, Incident and Reflecting Shocks and Chapman-Jouguet Detonations,” NASA SP-273, National Aeronautics and Space Administration, Washington DC, 1971.
17.
U.S. Standard Atmosphere, U.S. Government Printing Office, Washington, D.C, 1976.
18.
Miles E. R., “Semi Empirical Formulae for Ogives,” CM-505, Applied Physics Laboratory, Johns Hopkins University, 1958.
19.
Narendra
K. S.
and
Mukhopadhyay
S.
, “
Adaptive Control Using Neural Networks and Approximate Models
,”
IEEE Transactions On Neural Networks
, Vol.
8
, No.
3
,
1997
, pp.
475
485
.
20.
Alemohammad H., “Dynamic Modeling and Control System Design of a Solid Fuel Ramjet in Variable Flight Conditions,” M.S. thesis, Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran, 2005.
21.
Lin
F. J.
,
Hwang
R. J.
,
Wai
R. J.
, “
A Supervisory Fuzzy Neural Network Control system for Tracking Periodic Inputs
,”
IEEE Transactions on Fuzzy Systems
, Vol.
7
, No.
1
,
1999
, pp.
41
52
.
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