Skip to Main content Skip to Navigation
Conference papers

Set-Membership Identification of Continuous-Time Systems

Nacim Ramdani 1, 2 Nacim Meslem 3 Yves Candau 3 Tarek Raïssi 4 
1 DEMAR - Artificial movement and gait restoration
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
2 IDH - Interactive Digital Humans
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : The identification of continuous-time systems from discrete-time data is investigated in a bounded-error context. Errors are taken as a discrete time signal, additive on output, unknown but bounded with known bounds. The set inversion via interval analysis algorithm is used with validated numerical integration methods. The theory of monotone cooperative systems is also introduced in order to derive tighter enclosures for the solution of the differential equations. Via an illustrative example with simulated data, it is shown that for systems modelled by parabolic differential equations, the cooperativity property only makes it possible to obtain results in a reasonable computation time.
Document type :
Conference papers
Complete list of metadata
Contributor : Nacim Ramdani Connect in order to contact the contributor
Submitted on : Friday, December 8, 2006 - 10:27:33 PM
Last modification on : Friday, August 5, 2022 - 3:02:26 PM


  • HAL Id : lirmm-00119383, version 1


Nacim Ramdani, Nacim Meslem, Yves Candau, Tarek Raïssi. Set-Membership Identification of Continuous-Time Systems. SYSID'06: 14th IFAC Symposium On System Identification, Mar 2006, Newcastle, pp.446-451. ⟨lirmm-00119383⟩



Record views