Flatness-based control and Kalman filtering for a continuous-time macroeconomic model

G. Rigatos, P. Siano, T. Ghosh, K. Busawon, R. Binns

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The article proposes flatness-based control for a nonlinear macro-economic model of the UK economy. The differential flatness properties of the model are proven. This enables to introduce a transformation (diffeomorphism) of the system's state variables and to express the state-space description of the model in the linear canonical (Brunowsky) form in which both the feedback control and the state estimation problem can be solved. For the linearized equivalent model of the macroeconomic system, stabilizing feedback control can be achieved using pole placement methods. Moreover, to implement stabilizing feedback control of the system by measuring only a subset of its state vector elements the Derivative-free nonlinear Kalman Filter is used. This consists of the Kalman Filter recursion applied on the linearized equivalent model of the financial system and of an inverse transformation that is based again on differential flatness theory. The asymptotic stability properties of the control scheme are confirmed.

Original languageEnglish
Title of host publicationProceedings of the International Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017
PublisherAmerican Institute of Physics
Volume1906
ISBN (Electronic)9780735415966
DOIs
Publication statusPublished - 28 Nov 2017
EventInternational Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017 - Thessaloniki, Greece
Duration: 21 Apr 201725 Apr 2017

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017
CountryGreece
CityThessaloniki
Period21/04/1725/04/17

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