6533b86ffe1ef96bd12cdda5
RESEARCH PRODUCT
Linear flux observers for induction motors with quadratic Lyapunov certificates
Luca ZaccarianAntonino Sferlazzasubject
Lyapunov functionLinear time-varying system0209 industrial biotechnologyObserver (quantum physics)020208 electrical & electronic engineeringLinear system02 engineering and technologyFlux observer[SPI.AUTO]Engineering Sciences [physics]/Automaticsymbols.namesakeNoise020901 industrial engineering & automationQuadratic equationSettore ING-INF/04 - AutomaticaControl theoryLyapunov techniquesConvergence (routing)0202 electrical engineering electronic engineering information engineeringsymbolsState observerInduction motorInduction motorMathematicsdescription
International audience; We propose a full order Linear Time-Varying (LTV) Luenberger observer for the rotor flux estimation of an induction motor. Introducing a suitable reduced-order Linear-Time-Invariant (LTI) system that is always observable and controllable, we show that any arbitrary LTI design and its quadratic Lyapunov certificates can be lifted to the higher-order original LTV dynamics obtaining the same certificates. As a result, we show that arbitrary global uniform exponential bounds can be imposed on the estimation error, regardless of the rotor speed. Then applying a suitable order reduction technique, we build a reduced observer providing the same guarantees. We also establish interesting connections between these reduced observers and existing non-adaptive observers. We also show applications of our results when wanting to minimize the effects of measurement noise on the estimates.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-06-08 |