» Download Article

Authors
Das, Priya G.; Padhi, Radhakant

Digital Object Identifier (DOI)
10.3182/20080706-5-KR-1001.02201

Page Numbers:
13016-13021

Index Terms
Guidance, navigation and control of vehicles; High accuracy pointing; Nonlinear and optimal automotive control

Abstract
A new technique named as model predictive spread acceleration guidance (MPSAG) is proposed in this paper. It combines nonlinear model predictive control and spread acceleration guidance philosophies. This technique is then used to design a nonlinear suboptimal guidance law for a constant speed missile against stationary target with impact angle constraint. MPSAG technique can be applied to a class of nonlinear problems, which leads to a closed form solution of the lateral acceleration (latax) history update. Guidance command assumed is the lateral acceleration (latax), applied normal to the velocity vector. The new guidance law is validated by considering the nonlinear kinematics with both lag-free as well as first order autopilot delay. The simulation results show that the proposed technique is quite promising to come up with a nonlinear guidance law that leads to both very small miss distance as well as the desired impact angle.

References

K.E. Atkinson. An Introduction to Numerical Analysis. Jhon
Wiley & Sons, 2001.

A.E. Bryson, and Y.C. Ho. Applied Optimal Control. Hemisphere
Publishing Corporation, 1975.

M. Cannon. Efficient Nonlinear Model predictive Control Algorithms.
Annual Reviews in Control, Vol. 28,2004, pp. 229�
237.

R.L. McHenry, A.D. Long, B.F. Cockrell, J.R. Thibodeau, and
T.J. Brand. Space Shuttle Ascent Guidance Navigation and
Control. Journal of Astronautical Science, Vol. 27, 1979,
pp. 1�38.

C.K. Ryoo, H. Cho, and M.J. Tahk. Time to Go Weighted
Optimal Guidance with Impact Angle Constraints. IEEE
Transactions On Control Systems Technology, Vol. 4, No. 3,
May 2006.

C.K. Ryoo, H. Cho, and M.J. Tahk. Optimal Guidance
Laws with Terminal Impact Angle Constraint. Journal Of
Guidance, Control And Dynamics, Vol. 28, No. 4, July�
August 2005.

D. Ghose, B. Dam, and U.R. Prasad. A spread acceleration
Guidance Scheme for Command Guided Surface-To-Air
Missiles. NAECON, Vol. 1, 1989, pp. 1006�1016.

T.L. Song, and S.J. Shin. Time-Optimal Impact Angle Control
for Vertical Plane Engagements. IEEE Transactions On
Aerospace and Electronic Systems, Vol. 35, No. 2, April
1999.

P. Zarchan. Tactical and Strategic Missile Guidance. Proceeding
in Astronautics and Aeronautics, AIAA Tactical Missile
Series, Vol. 176, Third Edition, 1997.