A new approach to discretization applied to a continuous, nonlinear, sliding-mode-like control using nonsmooth analysis (Q2729606)
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scientific article; zbMATH DE number 1623072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approach to discretization applied to a continuous, nonlinear, sliding-mode-like control using nonsmooth analysis |
scientific article; zbMATH DE number 1623072 |
Statements
A new approach to discretization applied to a continuous, nonlinear, sliding-mode-like control using nonsmooth analysis (English)
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11 November 2001
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discretization technique
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nonsmooth Lyapunov function
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stabilization
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nonlinear control law
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sampling
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nonlinear robust sliding-mode
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robustness
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asymptotic stability
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An approach for discretization of a nonlinear Lipschitz control law is proposed. The imposed assumptions on the system guarantee that the controlled system exhibits a globally asymptotically stable motion. The sampling time is defined as a parameter, which has to be sufficiently small, so that the closed-loop system is stable. Next, this discretization procedure is applied to a nonlinear robust sliding-mode-like control law. Similar robustness features as for continuous control are shown. At the end, an asymptotic stability theorem is proved using nonsmooth Lyapunov functions.
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