Stabilisation of constrained uncertain systems by multi-parametric optimisation
by Wissal Bey; Zohra Kardous; Naceur Benhadj Braiek
International Journal of Automation and Control (IJAAC), Vol. 10, No. 4, 2016

Abstract: This paper aims to construct a controlled invariant set while determining a stabilising piecewise linear control law for constrained uncertain systems. The proposed approach is based on the equivalence between the considered system and its Euler auxiliary system (EAS). The control law is obtained by the resolution of a constrained finite time optimal control (CFTOC) problem. Due to the exhaustive computing demands, a multi-parametric formulation and an offline resolution of the problem are considered to extend the set parameters variation.

Online publication date: Fri, 30-Sep-2016

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