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Robust output feedback sampling control based on second-order sliding mode. (English) Zbl 1192.93036

Summary: This paper proposes a new second-order sliding mode output feedback controller. This is developed in the case of finite sampling frequency and uses only output information in order to ensure desired trajectory tracking with high accuracy in a finite time in spite of uncertainties and perturbations. This new strategy is evaluated in simulations on an academic example.

MSC:

93B40 Computational methods in systems theory (MSC2010)
93B52 Feedback control
34H05 Control problems involving ordinary differential equations
93C10 Nonlinear systems in control theory
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[1] Anosov, D.V., On stability of equilibrium points of relay systems, Automatica i telemechanica (automation and remore control), 2, 135-149, (1959) · Zbl 0093.09204
[2] Bartolini, G.; Ferrara, A.; Usai, E.; Utkin, V., On multi-input chattering-free second-order sliding mode control, Institute of electrical and electronics engineers. transactions on automatic control, 45, 1711-1717, (2000) · Zbl 0990.93012
[3] Filippov, A.F., Differential equations with discontinuous right-hand side, (1988), Kluwer Dordrecht · Zbl 0664.34001
[4] Fridman, L.; Levant, A., Sliding modes of higher order as a natural phenomenon in control theory, () · Zbl 0854.93021
[5] Fridman, L.; Levant, A., Higher order sliding modes, (), 53-101
[6] Girin, A.; Plestan, F.; Brun, X.; Glumineau, A., Robust control of an electropneumatic actuator: application to an aeronautical benchmark, IEEE transactions on control systems technology, 17, 3, 633-645, (2009)
[7] Khan, M.K., Spurgeon, S.K., & Levant, A. (2003). Simple output-feedback 2-sliding controller for systems of relative degree two. In: Proc. European Control Conference ECC’03, Cambridge, UK.
[8] Laghrouche, S.; Plestan, F.; Glumineau, A., Practical higher order sliding mode control: optimal control based approach and application to electromechanical systems, () · Zbl 1284.93063
[9] Laghrouche, S.; Plestan, F.; Glumineau, A., Higher order sliding mode control based on integral sliding surface, Automatica, 43, 3, 531-537, (2007) · Zbl 1137.93338
[10] Laghrouche, S.; Smaoui, M.; Plestan, F.; Brun, X., Higher order sliding mode control based on optimal approach of an electropneumatic actuator, International journal of control, 79, 119-131, (2006) · Zbl 1122.93036
[11] Levant, A., Sliding order and sliding accuracy in sliding mode control, International journal of control, 58, 1247-1263, (1993) · Zbl 0789.93063
[12] Levant, A., Universal siso sliding-mode controllers with finite-time convergence, Institute of electrical and electronics engineers. transactions on automatic control, 49, 1447-1451, (2001) · Zbl 1001.93011
[13] Levant, A., Higher-order sliding modes, differentiation and output-feedback control, International journal of control, 76, 924-941, (2003) · Zbl 1049.93014
[14] Levant, A., Homogeneity approach to high-order sliding mode design, Automatica, 41, 823-830, (2005) · Zbl 1093.93003
[15] Levant, A., Principles of 2-sliding mode design, Automatica, 43, 4, 576-586, (2007) · Zbl 1261.93027
[16] Moulay, E.; Perruquetti, W., Finite time stability of differential inclusions, IMA journal of mathematical control and information, 22, 4, 465-475, (2005) · Zbl 1115.93351
[17] Moulay, E.; Perruquetti, W., Finite-time stability and stabilization: state of the art, (), 23-41 · Zbl 1133.93367
[18] Plestan, F.; Glumineau, A.; Laghrouche, S., A new algorithm for high order sliding mode control, International journal of robust and nonlinear control, 18, 4-5, 441-453, (2008) · Zbl 1284.93063
[19] Plestan, F., Moulay, E., Glumineau, A., & Cheviron, T. (2008). Second order sliding mode control: a new output feedback solution, Proc. IFAC world congress, Seoul, Korea. · Zbl 1192.93036
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