Convergence properties of a continuous-time multiple-model adaptive estimator

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

Aguiar, AP (Author) FEUP; Athans, M (Author) Other; Pascoal, AM (Author) Other

Conference proceedings International

Title: 2007 European Control Conference, ECC 2007

Pages: 1530-1536

2007 9th European Control Conference, ECC 2007

2 July 2007 through 5 July 2007

Indexing

ISI Web of Knowledge

Scopus - 11 Citations

Other information

Authenticus ID: P-00A-C4X

DOI: 10.23919/ecc.2007.7068291

Abstract (EN): We present and study a Continuous-Time Multiple-Model Adaptive Estimator (CT-MMAE) for state-affine multiple-input-multiple output (MIMO) systems with parametric uncertainty. The CT-MMAE is composed by a bank of local observers (typically Kalman filters) where each observer uses one element of a finite discrete parameter set in its implementation. The state estimate is given by a weighted sum of the estimates produced by the bank of observers. We show, for the case where the unknown noise and disturbance are L<inf>2</inf> signals, and under appropriate observability assumptions, that if the actual plant parameter is identical to one of its discrete values, the state estimate converges globally asymptotically to the true value and the plant model is correctly identified. If the actual plant parameter vector does not belong to the finite discrete parameter set, we provide upper bounds to state and parameter estimation errors. Some deterministic and stochastic simulation results are presented and discussed. © 2007 EUCA.

Language: English

Type (Professor's evaluation): Scientific