State feedback sliding mode control without chattering by constructing Hurwitz matrix for AUV movement
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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.
KeywordsAutonomous underwater vehicle (AUV) state feedback sliding mode control (SMC) switching manifold Hurwitz matrix Matlab platform Lyapunov function
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- T. I. Fossen. Guidance and Control of Ocean Vehicles, USA: John Wiley and Sons, 1994.Google Scholar
- J. Fei. Model reference adaptive sliding mode control for a flexible beam. Advances in Modeling and Analysis C, vol. 62, no. 1–2, pp. 84–97, 2007.Google Scholar
- X. Y. Luo, Z. H. Zhu, X. P. Guan. Chattering reduction adaptive sliding-mode control for nonlinear time-delay systems. Control and Decision, vol. 24, no. 9, pp. 1429–1435, 2009. (in Chinese)Google Scholar
- T. S. Jimnez, J. M. Spiewak, P. Froisse, B. Jouvencel. A robust control algorithm for AUV: Based on a high order sliding mode. In Proceedings of Ocean_04: Bridges Across the Oceans, IEEE, vol. 1, pp. 276–281, 2004.Google Scholar