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Journal articles
Perturbations in polyhedral partitions and the related fragility of piecewise affine control.
Abstract : The control design techniques for linear or hybrid systems under constraints lead often to off-line state-space partitions with non-overlapping convex polyhedral regions. This corresponds to a piecewise affine (PWA) state feedback control laws associated to polyhedral partition of the state-space. The aim of this paper is to consider perturbation in the representation of the vertices of such polyhedral regions. Another idea behind this study is to perform a quantization operation on the representation of the state-space regions and the associated PWA control laws in order to reduce the hardware requirements in terms of processor speed and memory unit. The quantized state-space partitions lose some of the important properties of the explicit controllers: non-overlapping, convexity and invariant characterization. The major contribution of this work is to analyze to what extend the non-overlapping and the invariance characteristics of the PWA controller can be preserved when perturbation takes place on the vertex representation.
Cited literature [15 references]
https://hal-centralesupelec.archives-ouvertes.fr/hal-01968898
Contributor : Sorin Olaru Connect in order to contact the contributor
Submitted on : Tuesday, February 5, 2019 - 10:15:59 AM
Last modification on : Saturday, May 1, 2021 - 3:46:44 AM
Long-term archiving on: : Monday, May 6, 2019 - 12:27:48 PM
Contributor : Sorin Olaru Connect in order to contact the contributor
Submitted on : Tuesday, February 5, 2019 - 10:15:59 AM
Last modification on : Saturday, May 1, 2021 - 3:46:44 AM
Long-term archiving on: : Monday, May 6, 2019 - 12:27:48 PM
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