In this note, we analyze the discrete-time implementation of a second-order sliding mode control (2-SMC) scheme. The treatment is detailed for a simple class of feedback-linearizable nonlinear systems expressed in the Brunowsky normal form. First. it is shown that the direct discretization of a continuous-time 2-SMC scheme guarantees the finite-time attainment of a motion in an O(T-2) boundary layer of the sliding manifold (T being the sampling period). Then, a suitable iterative learning procedure. that leads to the asymptotic reduction of the boundary layer to O(T-3) is proposed. Simulation results are reported at the end of the paper. (C) 2001 Elsevier Science Ltd. All rights reserved.
DIGITAL SECOND ORDER SLIDING MODE CONTROL FOR UNCERTAIN NONLINEAR SYSTEMS
PISANO, ALESSANDRO;USAI, ELIO
2001-01-01
Abstract
In this note, we analyze the discrete-time implementation of a second-order sliding mode control (2-SMC) scheme. The treatment is detailed for a simple class of feedback-linearizable nonlinear systems expressed in the Brunowsky normal form. First. it is shown that the direct discretization of a continuous-time 2-SMC scheme guarantees the finite-time attainment of a motion in an O(T-2) boundary layer of the sliding manifold (T being the sampling period). Then, a suitable iterative learning procedure. that leads to the asymptotic reduction of the boundary layer to O(T-3) is proposed. Simulation results are reported at the end of the paper. (C) 2001 Elsevier Science Ltd. All rights reserved.
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