Time Discretization of Piecewise Affine Systems with Sliding Modes
| Authors: | Schwarz Michael, University of Karlsruhe, Germany
Kiencke Uwe, University of Karlsruhe, Germany
Hodrus Thomas Erhard, University of Karlsruhe, Germany
Krebs Volker, University of Karlsruhe, Germany |
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| Topic: | 2.2 Linear Control Systems |
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| Session: | Analysis and Synthesis of Linear Control Systems I |
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| Keywords: | Discrete-time System, Hybrid System, Nonlinear System, Piecewise Affine System, Sliding Mode |
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Abstract
Piecewise affine systems are systems with a piecewise defined state equation. The continuous dynamics of these systems are affine but switch at the boundaries of certain subsets of the state-space. At these boundaries sliding modes may occur. A method will be presented to obtain a discrete-time system from a given continuous-time piecewise affine system. This method takes into account sliding modes as well as changes of the dynamics which occur between two sampling instances. Even for low sampling rates the resulting model shows a high accuracy.
