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.
|Title of host publication||Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017|
|Publisher||American Institute of Physics|
|Publication status||Published - 28 Nov 2017|
|Event||International Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017 - Thessaloniki, Greece|
Duration: 21 Apr 2017 → 25 Apr 2017
|Conference||International Conference of Computational Methods in Sciences and Engineering 2017, ICCMSE 2017|
|Period||21/04/17 → 25/04/17|