Off-line robustification of Generalized Predictive Control for uncertain systems

• Autorzy: Otmane K. K. , Bali N. , Nezli L.

Identyfikatory

DOI

10.2478/acsc-2014-0027

• Języki publikacji: EN

Abstrakty

EN

An off-line methodology was proposed for enhancing the robustness of an initial Generalized Predictive Control (GPC) by convex optimization of the Youla parameter. However, this procedure of robustification is restricted with the case of the systems affected only by unstructured uncertainties. This paper proposes an extension of this method to the systems subjected to both unstructured and structured polytopic uncertainties. The main idea consists in adding supplementary constraints to the optimization problem which validates the Lipatov stability condition at each vertex of the polytope. These polytopic uncertainties impose a set of non convex quadratic constraints. The globally optimal solution is found by means of the GloptiPoly3 software. Therefore, this robustification provides stability robustness towards unstructured uncertainties for the nominal system, while guaranteeing stability properties over a specified polytopic domain of uncertainties. Finally, an illustrative example is given.

Słowa kluczowe

EN

generalized predictive control; polytopic uncertainties; relaxation; robust control; Youla parametrization

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2014
• Tom: Vol. 24, no. 4
• Strony: 499--513
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Otmane K. K.

• Process Control Laboratory, Ecole Nationale Polytechnique, ENP, Algers

autor

Bali N.

• Process Control Laboratory, Ecole Nationale Polytechnique, ENP, Algers

autor

Nezli L.

• Industrial Systems Laboratory, University of Sciences and Technology Houari Boumediene, Algiers

Bibliografia

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