Volume 12, Issue 1 (Journal of Control, V.12, N.1 Spring 2018)                   JoC 2018, 12(1): 69-80 | Back to browse issues page

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Jahanpoor T, Bozorg M. Stabilization of a Supercavitating Vehicle in Depth Mode using Linear Quadratic Regulator Method and EKF and UKF Estimators. JoC 2018; 12 (1) :69-80
URL: http://joc.kntu.ac.ir/article-1-482-en.html
1- Yazd University
Abstract:   (16251 Views)

In this paper, two main subjects are dealt with: stabilization of supercavitating vehicles in depth mode and estimating the state variables of the vehicle in order to control the vehicle in this mode. Using the feedback linearization method, the model of the system is linearized and a linear quadratic regulator is designed for the system to stabilize it. This method needs to feedback all states of the system, while measuring all the states is practically infeasible. Then, it is needed to estimate some of the states using the model of the system and the sensor measurements. This is performed here using two well-known filters of EKF and UKF. Through simulations, it is shown that both filters can estimate the states of the system in the depth mode, stabilize the vehicle in this mode and reject the disturbances. It is observed that each filter can estimate some of the states more accurately. In simulations, the performances of the designed controllers are examined, practical issues like actuator saturation are taken into account and the ability of the controllers to stabilize the vehicle is demonstrated.

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Type of Article: Review paper | Subject: Special
Received: 2017/05/14 | Accepted: 2017/09/5 | Published: 2018/02/23

1. N. E. Fine and S. A. Kinnas, "A boundary element method for the analysis of the flow around 3-D cavitating hydrofoils," J. Ship Res., vol. 37, no. 1, pp. 213–224, 1993.
2. S. S. Kulkarni and R. Pratap, "Studies on the dynamics of a supercavitating Projectile," Appl. Math. Model, vol. 24, no. 2, pp. 113–129, 2000. [DOI:10.1016/S0307-904X(99)00028-1]
3. A. May, "Water entry and cavity-running behavior of missiles," Arlington, Naval Sea Systems Command, 1975. [DOI:10.21236/ADA020429]
4. R. Rand, R. Pratap, D. Ramani, J. Cipolla, and I. Kirschner, "Impact dynamics of a supercavitating underwater projectile," presented at the DETC ASME Des. Eng. Tech. Conf., Sacramento, CA, 1997.
5. J. Dzielski and A. Kurdila, "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. [DOI:10.1177/1077546303009007004]
6. R. Kamada, "Trajectory optimization strategies for supercavitating vehicles,"M.S. thesis, Sch. Aerosp. Eng., Georgia Inst. Technol., Atlanta, 2005.
7. B. Vanek, J. Bokor and G. Balas, “Theoretical aspects of high-speed supercavitation vehicle Control,” American Control Conference, Minneapolis, Minnesota, USA, 2006. [DOI:10.1109/ACC.2006.1657559]
8. B. Vanek, J. Bokor, G. Balas, and R. Arndt, "Longitudinal motion control of a high-speed supercavitation vehicle," Journal of Vibration and Control, vol. 13, no. 2, pp. 159–84, 2007. [DOI:10.1177/1077546307070226]
9. G. Lin, B. Balachandran, and E. Abed, "Dynamics and control of supercavitating bodies," presented at the ASME IMECE, Anaheim, CA, 2004. [DOI:10.1115/IMECE2004-59959]
10. S.Lin, B. Balachandran, and E. Abed, "Supercavitating body dynamics, bifurcations and control," American Control Conference, Portland, USA, 2005.
11. G. Lin, B. Balachandran, and E. Abed, "Bifurcation behavior of a supercavitating vehicle," ASME IMECE, Chicago, IL, 2006. [DOI:10.1115/IMECE2006-14052]
12. G. Lin and B. Balachandran, "Nonlinear dynamics and control of supercavitating bodies," AIAA Guidance, Navigation, and Control Conference and Exhibit, Keystone, Colorado, 2006. [DOI:10.2514/6.2006-6445]
13. X. Mao and Q. Wang, "Delay-dependent Control Design for a Time-delay supercavitating vehicle model." Journal of Vibration and Control, vol. 17, no. 3, pp. 431–448, 2010.
14. X. Zhang, Y. Wei, Y. Han, T. Bai and K. Ma, "Design and comparison of LQR and a novel robust back stepping controller for supercavitating vehicles", Transactions of the Institute of Measurement and Control, pp. 1-14, 2015.
15. X. Mao and Q.Wang. "Adaptive control design for a supercavitating vehicle model based on fin force parameter estimation", Journal of Vibration and Control, vol. 21, no. 6, pp. 1220-1233, 2015. [DOI:10.1177/1077546313496263]
16. B. Qiang, Y. Sun, Y. Han and T. Bai, "Absolute stability control of supercavitating vehicles based on backstepping," IEEE International Conference on Mechatronics and Automation, Tianjin, China, pp. 1918-1923, 2014. [DOI:10.1109/ICMA.2014.6885995]
17. A. Pang, H. Zhen and J, Wang, "Double-loop Decoupling Control For a Supercavitating Vehicle", 32nd Youth Academic Annual Conference of Chinese Association of Automation, pp. 750-754, 2017. [DOI:10.1109/YAC.2017.7967509]
18. X. Mao and Q.Wang, "Nonlinear control design for a supercavitating vehicle", IEEE Transactions on Control Systems Technology, vol. 17, no. 4, pp. 816-832, 2009. [DOI:10.1109/TCST.2009.2013338]
19. G. V. Logvinovich, "Hydrodynamics of free - boundary flows", translated from Russian, U.S. Department of Commerce, Washington, 1972.
20. D. Simon, Optimal State Estimation: kalman filter, H-infinity, and Nonlinear Approaches, Wiley, 2006. [DOI:10.1002/0470045345]
21. E. A. Wan and R. van der Merwe, "The Unscented Kalman Filter for Nonlinear Estimation", Adaptive Systems for Signal Processing, Communications, and Control Symposium, pp. 153-158, 2000. [DOI:10.1109/ASSPCC.2000.882463]

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