Optimization and Systems Theory Seminar
April 16, 1999, 11.00-12.00

Jorge Marí
Västerås, Sweden

Identification of multivariable stochastic systems in polynomial time

A parameter estimation method for finite-dimensional multivariate linear stochastic systems is presented which is guaranteed to produce valid models close enough to the true underlying system, in a computational time of a polynomial order in the system dimension. This is achieved by combining the main features of certain stochastic subspace identification techniques with sound matrix Schur restabilizing procedures and multivariate covariance fitting, both of which are formulated as linear matrix inequality problems. All aspects of the identification method are discussed, with an emphasis on the two issues mentioned above, and examples of the overall performance are provided for two different systems.

Calendar of seminars
Last update: March 30, 1999 by Anders Forsgren, anders.forsgren@math.kth.se.