14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

Close

Paper WeB3.6

Ramdani, Nacim (Univ. Montpellier 2), Meslem, Nacim (Univ. Paris 12), Ra´ssi, Tarek (Univ. Bordeaux 1), Candau, Yves (Univ. Paris 12)

Set-Membership Identification of Continuous-Time Systems

Scheduled for presentation during the Invited Session "Continuous-Time System Identification II" (WeB3), Wednesday, March 29, 2006, 17:10−17:30, Hunter Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 17, 2018

Keywords Continuous Time System Estimation, Bounded Error Identification

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.