Control and System

Finite Time Stabilization for a Nonlinear Helicopter System

Expand
  • College of Information and Engineering, Nanchang Hangkong University,
    Nanchang 330063, China

Received date: 2014-07-14

  Revised date: 2014-10-14

  Online published: 2014-10-14

Abstract

A finite-time control method is proposed for the CE150 helicopter with multiple
inputs, strong coupling and nonlinearity. By considering the helicopter system as a cascaded
one and performing coordinate transformation, a finite time nested saturation method is
used to stabilize the two subsystems in finite time. The closed-loop system achieves global
uniform finite-time stabilization by verifying the forward uniformity. Simulation shows
effectiveness of the system, faster convergence, and better robustness.

Cite this article

JIANG Yuan, SHI Zhi-qian, DAI Ji-yang . Finite Time Stabilization for a Nonlinear Helicopter System[J]. Journal of Applied Sciences, 2015 , 33(3) : 317 -328 . DOI: 10.3969/j.issn.0255-8297.2015.03.010

References

[1] UROŠ L, ROK G, MATEJ G. Simulation and control of a helicopter pilot plane [C]//Proceedings of the 11th International Culture and Academic meeting of  Engineering Students, Turkey, 2005.

[2] SONG Bao Quan, LIU Yun Hui, FAN Cai Zhi. Feedback linearization of the nonlinear model of a small-scale helicopter [J]. Control Theory and Applications, 2010, 8(3):  301-308.

[3] 蒋沅, 曾令武, 代冀阳. 一类非线性直升机模型的滑模降阶控制器设计[J]. 控制理论与应用, 2013, 30(3): 330-338.

Jiang Yuan, Zeng  Lingwu, Dai Jiyang. Sliding-mode reduced-order controller design for a class of nonlinear helicopter model [J]. Control Theory and Application, 2013, 30(3): 330-338. (in Chinese)

[4] 李庆鑫, 宗群,  穆朝絮. 基于鲁棒自适应的无人机悬停控制[J].控制工程,2014 , 21(2): 253-257.

LI Qingxin, ZONG Qun, MU chaoxu. Robust adaptive control for UAV helicopter in hover [J]. Control Engineering of China, 2014, 21(2): 253-257.  (in Chinese)

[5] Edgar  N. SANCHEZ E N , Hector M. BECERRA H M, Carlos M. VELEZ C M. Combining fuzzy PID and regulation control for an autonomous mini-helicopter [J]. Information Sciences, 2007, 177(10): 1999-2022.

[6] 姜长生, 王丕宏. 一种直升机的组合智能飞行控制系统的设计[J]. 南京航空航天大学学报, 1999, 31(2): 185-191.

JIANG Chang Sheng, WANG Pei Hong. Design and simulation of a new combinative intelligence flight control system of advanced helicopter with weapon [J]. Journal of Nanjing University of Aeronautics and Astronautics, 1999, 31(2): 185-191. (in Chinese)

[7] 顾冬雷,夏先明,高正. 无人直升机飞控系统设计与应用[J]. 南京航空航天大学学报,2005, 37(4):  476-478.

Gu Donglei, Xia Xianming, Gao Zheng. Design of flying control system for an autonomous helicopter [J]. Journal of Nanjing University of Aeronautics and Astronautics, 2005, 37(4): 476-478.

[8] 丁世宏, 李世华. 有限时间控制问题综述[J]. 控制与决策, 2011, 26(2):  1-10. (in Chinese)

DING Shi hong, LI Shi hua. A survey for finite control problems [J]. Control and Decision, 2011, 26(2):1-10.

[9] BHAT S P, BEMATEIN D S. Continuous finite-time stabilization of the translational and rotational double integrator [J]. IEEE Transactions on Automatic Control, 1998, 43(5): 678-682.

[10] DING S H, LI S H, LI Q. Stability and analysis for a second-order continuous finite-time control system subject to a disturbance [J]. Control Theory and Applications, 2009, 7(3): 271-276.

[11] HONG Y, HUANG J, XU Y. On an output feedback finite-time stabilization problem [J]. IEEE Transactions on Automatic Control, 2001, 46(2):  305-309.

[12]  FENG Y, ZHENG J, YU X, et al. Hybrid terminal sliding mode observer design method for a permanent magnet synchronous motor control system [J]. IEEE Transactions on Industrial Electronics, 2009, 56(9): 3424-3431.

[13]  YU S, YU X, SHIRINZADEH B, et al. Continuous finite-time control for robotic manipulator with terminal sliding mode [J]. Automatica, 2005, 41(10): 1957-1964.

[14]  LI S H, TIAN Y P. Finite time synchronization of chaotic systems[J]. Chaos Solitions and Fractal, 2003, 15(2): 303–310.

[15]  ZHANG C L, LI S H, TIAN Y P. Finite-time output feedback stabilization and control for a quadrotor mini-aircraft [J]. Kybernetika, 2012, 48(2): 206222. (in Chinese)

[16] 李明贵,刘良栋. 刚体卫星姿态有限时间控制[J]. 空间控制技术与应用,2011, 37(3): 1-8.

LI Ming gui, LIU Liang dong. Finite time stabilization method for the rigid spacecraft attitude control[J]. Aerospace Control and Application, 2011, 37(3): 1-8.

[17] LI S H, TIAN Y P. Finite-time stability of cascaded time-varying system [J]. International Journal of Control, 2007, 80(4): 646–657.

[18] 李世华,丁世宏,都海波,等. 非光滑控制理论与应用[M]. 北京:科学出版社,2013: 90-94.

 [19]  NAO T , KATAYAMA H, LCHIKAWA A. Output regulation of a helicopter model [C]//The Society of Instrument and Control Engineers(SICE) Annual Conference, IEEE, 2003, 1:  936- 941.

[20]  DING S H, QIAN C J, LI S H. Global stabilization of a class of upper-triangular systems with unbounded or uncontrollable linearizations [J]. International Journal of Robust and Nonlinear Control, 2010, 21(3): 271-294.
Outlines

/