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Stabilization of constrained uncertain systems by an off-line approach using zonotopes

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Stabilization of constrained uncertain systems by an off-line approach using zonotopes

Volume 3, Issue 1, Page No 281–287, 2018

Author’s Name: Walid Hamdi*Email, Wissal Bey, Naceur Benhadj Braiek
Laboratory of Advanced Systems (L.A.S), Polytechnic School of Tunisia, Carthage University, BP 743,2078 La Marsa, Tunisia
*whom correspondence should be addressed. E-mail: hamdi.walid987@gmail.com

Adv. Sci. Technol. Eng. Syst. J. 3(1), 281–287 (2018); crossref symbol DOI: 10.25046/aj030134

Keywords: Stabilization, Zonotopic invariant sets, Model Predictive Control, Uncertain systems

Received: 30 November 2017, Accepted: 7 January 2018, Published Online: 31 January 2018
(This article belongs to Section Automation & Control Systems (ACS))
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Abstract

In this paper, stabilization of uncertain systems was established using zonotopic sets. The obtained state feedback control laws are computed by an off-line approach reducing computational burdens. The resolution of a robust model predictive control (MPC) allows computing a sequence of state feedback control laws corresponding to a sequence of zonotopic invariant sets. The implemented control laws are then calculated by linear interpolation between the state feedback gains corresponding to the nested pre-computed zonotopic sets. The proposed interpolation with the use of zonotopic sets achieves better control performances.

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