Supercavitating vehicles can achieve very high speed but also pose technical challenges in maneuvering, system stability and control. Compared to a fully-wetted vehicle for which substantial lift is generated due to vortex shedding off the hull, the supercavitating vehicles are enveloped by gas surface thus the lift is provided by control surface deflections of cavitator and fins, as well as planing force between the vehicle and the cavity. The nonlinearity in the modeling of cavitator, fin, and in particular, the planing force make the control design more challenging. In this paper, a sliding-mode based controller is designed for the longitudinal dynamics of a supercavitating vehicle model. The stability and robustness of the final design are analyzed by the Lyapunov method and verified using simulation. A high-gain observer is also designed to estimate the vertical velocity of the supercavitating vehicle, which is not directly measurable, and then simulation results are presented for the (partial) output-feedback sliding-mode controller.

1.
Dzielski
 
J.
and
Kurdila
 
A.
, “
A benchmark control problem for supercavitating vehicles and an initial investigation of solutions
,”
Journal of Vibration and Control
, Vol.
9
, no.
7
, pp.
791
804
,
2003
.
2.
N. E. Fine and S. A. Kinnas, “A boundary element method for the analysis of the flow around 3-D cavitating hydrofoils,” Journal of Ship Research, 37(1), 1993.
3.
Kamada, R., Trajectory optimization strategies for supercavitating vehicles, MS Thesis, Georgia Tech, 2005.
4.
Kirschner
 
I.
,
Kring
 
D. C.
,
Stokes
 
A. W.
,
Fine
 
N. E.
, and
Uhlman
 
J. S.
, “
Control strategies for supercavitating vehicles
,”
Journal of Vibration and Control
, Vol.
8
, pp.
219
242
,
2002
.
5.
Kulkarni
 
S. S.
and
Pratap
 
R.
, “
Studies on the dynamics of a supercavitating projectile
,”
Applied Mathematical Modeling
, Vol.
24
, No.
2
, pp.
113
129
,
2000
.
6.
G. Lin, B. Balachandran, and E. Abed, “Dynamics and control of supercavitating bodies,” Proceedings of ASME IMECE 2004, Anaheim, CA, 2004.
7.
G. Lin, B. Balachandran, and E. Abed, “Supercavitating body dynamics, bifurcations and control,” Proceedings of American Control Conference, Portland, OR, 2005.
8.
A. May, “Water entry and the cavity-running behavior of missiles,” Naval Sea Systems Command, Arlington, VA, SEAHAC TR 75-82, 1974.
9.
R. Rand, R. Pratap, D. Ramani, J. Cipolla, and I. Kirschner, “Impact dynamics of a supercavitating underwater projectile,” Proceedings of DETC’97 ASME Design Engineering Technical Conferences, September, 1997.
10.
Y. Shao, M. Mesbahi, and G. Balas, “Planing, switching, and supercavitating flight control,” Proceedings of AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA 2003-5724, Austin, TX, 2003.
11.
B. Vanek, J. Bokor, and G. Balas, “Theoretical aspects of high-speed supercavitation vehicle control,” Proceedings of the American Control Conference, Minneapolis, MN, pp. 5263-5268, 2006.
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