An Hinf LPV design for sampling varying controllers : experimentation with a T inverted pendulum

David Robert 1 Olivier Sename 2, 1 Daniel Simon 1
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
2 GIPSA-SLR - SLR
GIPSA-DA - Département Automatique
Abstract : This paper deals with the adaptation of a realtime controller's sampling period to account for the available computing resource variations. The design of such controllers requires a parameter-dependent discrete-time model of the plant, where the parameter is the sampling period. A polytopic approach for LPV (Linear Parameter Varying) systems is then developed to get an Hinf sampling period dependent controller. A reduction of the polytope size is here performed which drastically reduces the conservatism of the approach and makes easier the controller implementation. Some experimental results on a T inverted pendulum are provided to show the efficiency of the approach.
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David Robert, Olivier Sename, Daniel Simon. An Hinf LPV design for sampling varying controllers : experimentation with a T inverted pendulum. IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, 2010, 18 (3), pp.741-749. ⟨10.1109/TCST.2009.2026179⟩. ⟨hal-00448496⟩

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