Launch uncertainties in uncontrolled direct fire projectiles can lead to significant impact point dispersion, even at relatively short range. A model predictive control scheme for direct fire projectiles is investigated to reduce impact point dispersion. The control law depends on projectile linear theory to create an approximate linear model of the projectile and quickly predict states into the future. Control inputs are based on minimization of the error between predicted projectile states and a desired trajectory leading to the target. Through simulation, the control law is shown to work well in reducing projectile impact point dispersion. Parametric trade studies on an example projectile configuration are reported that detail the effect of prediction horizon length, gain settings, model update interval, and model step size.
Issue Section:
Research Papers
1.
Camacho
, E.
, and Bordons
, C.
, 1999, Model Predictive Control
, Springer-Verlag
, London
.2.
Mei
, G.
, Kareem
, J.
, and Kantor
, J.
, 2004, “Model Predictive Control of Wind-Excited Building: Benchmark Study
,” J. Eng. Mech.
0733-9399, 130
(4
), pp. 459
–465
.3.
Tsai
, C.
, and Huang
, C.
, 2004, “Model Reference Adaptive Predictive Control for a Variable-Frequency Oil Cooling Machine
,” IEEE Trans. Ind. Electron.
0278-0046, 51
(2
), pp. 330
–339
.4.
Kvaternik
, R.
, Piatak
, D.
, Nixon
, M.
, Langston
, C.
, Singleton
, J.
, Bennett
, R.
, and Brown
, R.
, 2004, “An Experimental Evaluation of Generalized Predictive Control for Tiltrotor Aeroelastic Stability Augmentation in Airplane Mode of Flight
,” J. Am. Helicopter Soc.
0002-8711, 47
(3
), pp. 198
–208
.5.
Slegers
, N.
, and Costello
, M.
, 2004, “Model Predictive Control of a Parafoil and Payload System
,” Proceedings of the 2004 AIAA Atmospheric Flight Mechanics Conference
, Providence, RI
, Paper No. 2004-4822.6.
Burchett
, B.
, and Costello
, M.
, 2002, “Model Predictive Lateral Pulse Jet Control of an Atmospheric Rocket
,” J. Guid. Control Dyn.
0731-5090, 25
(5
), pp. 860
–867
.7.
Costello
, M.
, and Anderson
, D.
, 1996, “Effect of Internal Mass Unbalance on the Terminal Accuracy and Stability of a Projectile
,” Proceedings of the 1996 AIAA Flight Mechanics Conference
, San Diego, C. A
.8.
Murphy
, C. H.
, 1980, “Symmetric Missile Dynamic Instabilities-A. Survey
,” 18th AIAA Aerospace Sciences Meeting
, Pasadena, CA
, Jan. pp. 14
–16
.9.
Hodapp
, A. E.
, 1976, “Effect of Mass Asymmetry on Ballistic Match of Projectiles
,” J. Spacecr. Rockets
0022-4650, 13
(12
), pp. 757
–760
.10.
Weber
, D. J.
, 1994, “Simplified Method for Evaluating the Flight Stability of Liquid-Filled Projectiles
,” J. Spacecr. Rockets
0022-4650, 31
(1
), pp. 130
–134
.11.
Murphy
, C. H.
, 1983, “Angular Motion of a Spinning Projectile With a Viscous Liquid Payload
,” J. Guid. Control Dyn.
0731-5090, 6
(4
), pp. 280
–286
.12.
Cobb
, K. K.
, Whyte
, R. H.
, and Laird
, P. K.
, 1983, “Effects of a Moving Components on the Motion of a 20-mm Projectile
,” 11th AIAA Aerodynamics Testing Conference
, Colorado Springs
, CO
, Mar. 18–20, pp. 94
–103
.13.
Hodapp
, A. E.
, 1989, “Passive Means for Stabilizing Projectiles with Partially Restrained Internal Members
,” J. Guid. Control Dyn.
0731-5090, 12
(2
), pp. 135
–139
.14.
Soper
, W. G.
, 1978, “Projectile Instability Produced by Internal Friction
,” AIAA J.
0001-1452, 16
(1
), pp. 8
–11
.15.
Costello
, M.
, and Peterson
, A.
, 2000, “Linear Theory of a Dual-Spin Projectile in Atmospheric Flight
,” J. Guid. Control Dyn.
0731-5090, 23
(5
), pp. 789
–797
.16.
Murphy
, C. H.
, 1981, “Instability of Controlled Projectiles in Ascending or Descending Flight
,” J. Guid. Control
0162-3192, 4
(1
), pp. 66
–69
.17.
Cooper
, G.
, 2001, “Influence of Yaw Cards on the Yaw Growth of Spin Stabilized Projectiles
,” J. Aircr.
0021-8669, 38
(2
), pp. 266
–270
.18.
Guidos
, B.
, and Cooper
, G.
, 2000, “Closed Form Solution of Finned Projectile Motion Subjected to a Simple In-Flight Lateral Impulse
,” 38th AIAA Aerospace Sciences Meeting and Exhibit
, Reno
, NV
, Paper No. AIAA-2000-0767.19.
Burchett
, B.
, Peterson
, A.
, and Costello
, M.
, 2002, “Prediction of Swerving Motion of a Dual-Spin Projectile With Lateral Pulse Jets in Atmospheric Flight
,” Math. Comput. Modell.
0895-7177, 35
(1–2
), pp. 1
–14
.20.
Etkin
, B.
, 1972, Dynamics of Atmospheric Flight
, Wiley
, New York
, Chap. 4.21.
McCoy
, R. L.
, 1999, Modern Exterior Ballistics
, Schiffer Military History
, Atglen, PA
.22.
Murphy
, C. H.
, 1963, “Free Flight Motion of Symmetric Missiles
,” U.S. Army Ballistic Research Laboratories, BRL Report No. 1216.23.
Cooper
, G.
, and Costello
, M.
, 2004, “Flight Dynamic Response of Spinning Projectiles to Lateral Impulsive Loads
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 126
, pp. 605
–613
.24.
Ikonen
, E.
, and Kaddour
, N.
, 2002, Advanced Process Identification and Control
, Dekker
, New York
.25.
Costello
, M.
, and Peterson
, A.
, 2000, “Linear Theory of a Dual Spin Projectile in Atmospheric Flight
,” U.S. Army Research Laboratory, Technical Report No. CR-448.Copyright © 2008
by American Society of Mechanical Engineers
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