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Output-feedback control of an underwater vehicle prototype by higher-order sliding modes. (English) Zbl 1055.93530
Summary: This paper describes some experimental results concerning the practical implementation of a recently proposed nonlinear output-feedback control technique based on the higher-order sliding mode approach. The considered technique is applied to the motion control problem for an underwater vehicle prototype that is equipped with a special propulsion system based on hydro-jets with variable-section nozzles. To cope with the heavy uncertainties affecting the prototype dynamics the output-feedback control system has been developed by means of an observer-controller that combines a second-order sliding-mode controller and a second-order sliding-mode differentiator. The reported experiments show that the proposed approach is capable of guaranteeing fast and accurate response under several operating conditions. The control system design procedure, and the main implementation issues, are discussed in detail.

93C85 Automated systems (robots, etc.) in control theory
93B12 Variable structure systems
Full Text: DOI
[1] Atassi, N.A; Khalil, H.K, A separation principle for the stabilization of a class of nonlinear systems, IEEE transactions on automatic control, 44, 1672-1687, (1999) · Zbl 0958.93079
[2] Bartolini, G., Ferrara, A., Levant, A., & Usai, E. (1999). On second order sliding mode controllers. In K. D. Young, & U. Ozguner (Eds.), Variable structure systems, sliding mode and nonlinear control, Lecture Notes in Control and Information Sciences, Vol. 247 (pp. 329-350). Berlin: Springer. · Zbl 0940.93018
[3] Bartolini, G; Levant, A; Pisano, A; Usai, E, On the robust stabilization of nonlinear uncertain systems with incomplete state availability, ASME journal of dynamic systems, measurement and control, 122, 738-745, (2000)
[4] Bartolini, G; Ferrara, A; Pisano, A; Usai, E, On the convergence properties of a 2-sliding control algorithm for nonlinear uncertain systems, International journal of control, 74, 718-731, (2001) · Zbl 1010.93021
[5] Bartolini, G; Pisano, A; Usai, E, Digital second order sliding mode control for uncertain nonlinear systems, Automatica, 37, 9, 1371-1377, (2001) · Zbl 0995.93012
[6] Bartolini, G., Levant, A., Pisano, A., & Usai, E. (2002). Higher-order sliding modes for output-feedback control of nonlinear uncertain systems. In X. Yu, & J. X. Xu (Eds.), Variable structure systems: Towards the 21st century, Lecture Notes in Control and Information Sciences, Vol. 274 (pp. 83-108). Berlin: Springer. · Zbl 1009.93009
[7] Bartolini, G; Pisano, A; Punta, A; Usai, E, A survey of applications of second-order sliding mode control to mechanical systems, International journal of control, 76, 9/10, 875-892, (2003) · Zbl 1070.93011
[8] Fossen, T, Guidance and control of Ocean vehicles, (1994), Wiley UK
[9] Fridman, L, Chattering analysis in sliding mode systems with inertial sensors, International journal of control, 76, 9/10, 906-912, (2003) · Zbl 1062.93011
[10] Isidori, A, Nonlinear control systems, (1995), Springer Berlin
[11] Levant, A, Robust exact differentiation via sliding mode technique, Automatica, 34, 379-384, (1998) · Zbl 0915.93013
[12] Levant, A, Variable measurement step in 2-sliding control, Kybernetica, 36, 77-93, (2000) · Zbl 1249.93027
[13] Levant, A, Higher order sliding modes, differentiation and output-feedback control, International journal of control, 76, 924-941, (2003) · Zbl 1049.93014
[14] Teel, A; Praly, L, Tools for semi-global stabilization via partial state and output feedback, SIAM journal of control and optimization, 33, 1443-1488, (1995) · Zbl 0843.93057
[15] Utkin, V.I, Sliding modes in control and optimization, (1992), Springer Berlin · Zbl 0748.93044
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