Order reduction of MIMO ARX systems using Laguerre bases. (2016)

• Record Type: Journal Article
• Authors: Anes, Ameni El; Maraoui, Saber; Bouzrara, Kais
• Is Part Of: International journal of engineering systems modelling and simulation. Volume 8:Number 4(2016)
• Page Start: 307
• Page End: 315
• Publication Date: 2016
• Subjects: parameter reduction -- MIMO coupled systems -- Laguerre functions -- pole optimisation -- order reduction -- ARX input models -- polynomial functions -- discrete-time linear systems -- simulation -- modelling; Engineering systems -- Computer simulation -- Periodicals; Engineering systems -- Mathematical models -- Periodicals; 620.0042
• Languages: English
• ISSNs: 1755-9758

Abstract

In this article, we explore the use of the Laguerre functions for the estimation of multivariable autoregressive with exogenous (ARX) input model. Each polynomial function of the MIMO ARX model associated to the inputs and to the outputs is expanded on independent Laguerre orthonormal bases. The resulting model is entitled MIMO ARX-Laguerre model. The optimal approximation of which is ensured once the poles characterising each Laguerre orthonormal basis are set to their optimal values. In this paper, a minimal recursive representation realisations for MIMO discrete-time linear systems are derived using Laguerre functions. Further we propose, from input/output measurements, an iterative optimisation algorithm for the free parameters (Laguerre poles). Simulation results show the effectiveness of the proposed optimal modelling method.