6533b81ffe1ef96bd1277aff
RESEARCH PRODUCT
A time-varying observer for linear systems with asynchronous discrete-time measurements
Luca ZaccarianAntonino Sferlazzasubject
0301 basic medicine0209 industrial biotechnologyObserver (quantum physics)Computer scienceLinear system02 engineering and technologyInterval (mathematics)Sampled-data observerdiscrete asynchronous measurement[SPI.AUTO]Engineering Sciences [physics]/Automatic03 medical and health sciences030104 developmental biology020901 industrial engineering & automationSettore ING-INF/04 - AutomaticaExponential stabilityDiscrete time and continuous timeAsynchronous communicationControl theoryHybrid systemhybrid systemlinear systemlinear matrix inequalitiesdescription
International audience; In this paper we propose a time-varying observer for a linear continuous-time plant with asynchronous discrete-time measurements. The proposed observer is contextualized in the hybrid systems framework providing an elegant setting for the proposed solution. In particular some theoretical tools are provided, in terms of LMIs, certifying asymptotic stability of a certain compact set where the estimation error is zero. Moreover the case of asynchronous measurements is considered, i.e. when the measurements are not provided in well defined time instants, but they occur at an arbitrary time in a certain time interval. A design procedure based on the numerical solution of an infinite-dimensional LMI is also proposed, leading to a time-varying observer gain. Finally a numerical example shows the effectiveness of the proposed approach.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-12 |