Title: Stabilisation of constrained uncertain systems by multi-parametric optimisation

Authors: Wissal Bey; Zohra Kardous; Naceur Benhadj Braiek

Addresses: Laboratory of Advanced Systems (L.A.S), Polytechnic School of Tunisia, Carthage University, BP 743, 2078 La Marsa, Tunisia ' Laboratory of Advanced Systems (L.A.S), Polytechnic School of Tunisia, Carthage University, BP 743, 2078 La Marsa, Tunisia ' Laboratory of Advanced Systems (L.A.S), Polytechnic School of Tunisia, Carthage University, BP 743, 2078 La Marsa, Tunisia

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.

Keywords: stabilisation; polyhedral Lyapunov function; positive invariance; multi-parametric optimisation; uncertain systems; uncertainty; constraints; piecewise linear control; finite time optimal control.

DOI: 10.1504/IJAAC.2016.079540

International Journal of Automation and Control, 2016 Vol.10 No.4, pp.407 - 416

Received: 25 May 2015
Accepted: 29 Jan 2016
Published online: 30 Sep 2016 *

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