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State feedback sliding mode control without chattering by constructing Hurwitz matrix for AUV movement

  • Huan-Yin ZhouEmail author
  • Kai-Zhou Liu
  • Xi-Sheng Feng
Article

Abstract

This paper presents a new method to eliminate the chattering of state feedback sliding mode control (SMC) law for the mobile control of an autonomous underwater vehicle (AUV) which is nonlinear and suffers from unknown disturbances system. SMC is a well-known nonlinear system control algorithm for its anti-disturbances capability, while the chattering on switch surface is one stiff question. To dissipate the well-known chattering of SMC, the switching manifold is proposed by presetting a Hurwitz matrix which is deducted from the state feedback matrix. Meanwhile, the best switching surface is achieved by use of eigenvalues of the Hurwitz matrix. The state feedback control parameters are not only applied to control the states of AUV but also connected with coefficients of switching surface. The convergence of the proposed control law is verified by Lyapunov function and the robust character is validated by the Matlab platform of one AUV model.

Keywords

Autonomous underwater vehicle (AUV) state feedback sliding mode control (SMC) switching manifold Hurwitz matrix Matlab platform Lyapunov function 

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Copyright information

© Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.State Key Laboratory of Robotics, Shenyang Institute of AutomationChinese Academy of SciencesShenyangPRC
  2. 2.School of ElectricEast China Institute of TechnologyFuzhouPRC
  3. 3.Graduate School of the Chinese Academy of SciencesBeijingRRC

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