Robust H∞ absolute stability control for a supercavitating vehicle

被引：0
作者：
College of Automation, Harbin Engineering University, Harbin [1 ]
150001, China
机构：
[1] College of Automation, Harbin Engineering University, Harbin
来源：
Harbin Gongcheng Daxue Xuebao | / 10卷 / 1370-1375期
关键词：
Absolute stability; Noise disturbance; Robust H[!sub]∞[!/sub; Sector bounded conditions; Supercavity;
D O I：
10.11990/jheu.201407032
中图分类号：
学科分类号：
摘要：
In cruise phase, high-speed supercavitating vehicles (HSSV) face a strong nonlinear planing force and noise disturbance. To solve these problems, a synthesis method for robust H∞ absolute stability controller was proposed based on absolute stability in the time domain. The original system was transformed into a cascade connection of two subsystems. Then, based on the connection, the sector bounded conditions of the planing force were analyzed. Next, in order to handle the noise disturbance, the method was included in the form of a linear matrix inequality, by applying Lyapunov theory together with the sector bounded conditions. Simulation results show that the closed-loop system can obtain absolute stability with the resulting controller, and simultaneously achieve the prescribed H∞ performance under zero initial conditions. ©, 2015, Editorial Board of Journal of HEU. All right reserved.
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页码：1370 / 1375
页数：5
相关论文
共 12 条
  • [1] Vanek B., Bokor J., Balas G.J., Et al., Longitudinal motion control of a high-speed supercavitation vehicle, Journal of Vibration and Control, 13, 2, pp. 159-184, (2007)
  • [2] Dzielski J., Kurdila A., A benchmark control problem for supercavitating vehicles and an initial investigation of solutions, Journal of Vibration and control, 9, 7, pp. 791-804, (2003)
  • [3] Kirschner I.N., Kring D.C., Stokes A.W., Et al., Control strategies for supercavitating vehicles, Journal of Vibration and Control, 8, 2, pp. 219-242, (2002)
  • [4] Kulkarni S.S., Pratap R., Studies on the dynamics of a supercavitating projectile, Applied Mathematical Modelling, 24, 2, pp. 113-129, (2000)
  • [5] Lin G., Balachandran B., Abed E.H., Nonlinear dynamics and control of supercavitating bodies, Collection of Technical Papers-AIAA Guidance, Navigation, and Control Conference, pp. 3151-3164, (2006)
  • [6] Lin G., Balachandran B., Abed E.H., Dynamics and control of supercavitating vehicles, Journal of Dynamic Systems, Measurement, and Control, 130, 2, (2008)
  • [7] Fan H., Zhang Y., Stability analysis and nonlinear switching controller design for supercavitating vehicles, Control Theory and Applications, 26, 11, pp. 1211-1217, (2009)
  • [8] Fan H., Zhang Y., A simple but practicable state feedback control method for supercavitating vehicle using circle criterion, Journal of Northwestern Polytechnical University, 27, 5, pp. 694-700, (2009)
  • [9] Mao X., Wang Q., Nonlinear control design for a supercavitating vehicle, IEEE Transactions on Control Systems Technology, 17, 4, pp. 816-832, (2009)
  • [10] Khalil H.K., Nonlinear Systems, pp. 264-270, (2002)
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