Title: Control of greenhouse climate with guaranteed H_∞ performance and D-stability

Authors: Mohamed Chaabane, Mansour Souissi, Driss Mehdi

Addresses: Automatic Control Unit, National School of Engineers of Sfax, ENIS, Route soukra, km 3.5, BP.W, Sfax 3038, Tunisia. ' Automatic Control Unit, National School of Engineers of Sfax, ENIS, Route soukra, km 3.5, BP.W, Sfax 3038, Tunisia. ' Laboratory of Automatic Informatics Industrial, Superior School of Engineer of Poitiers, 40 Avenue du Recteur Pineau, Poitiers 86022, France

Abstract: This paper investigates the control problem of a greenhouse climate. This study shows that a fuzzy controller can be applied successfully to control the greenhouse climate. In this work, we present a fuzzy controller with guaranteed H_∞ performance and additional constraints of the closed-loop pole location, in Linear Matrix Inequality (LMI) regions. This LMI region covers most practical performance specification. Based on the Takagi–Sugeno (T–S) models an identification procedure to estimate the greenhouse models parameters is considered. The model-based fuzzy controller design integrating such performance specifications is proposed. The associated controller combines two objectives, which are formulated as a convex optimisation problem involving LMIs. Simulation results show that the fuzzy controller yields the optimal disturbance rejection performance, the desired transient responses and a good set point tracking.

Keywords: greenhouse climate; fuzzy system models; disturbances; H_∞ control; H-infinity; LMI; linear matrix inequality; state feedback; D-stability; fuzzy control; parameter estimation; controller design; simulation.

DOI: 10.1504/IJAAC.2009.023071

International Journal of Automation and Control, 2009 Vol.3 No.1, pp.56 - 73

Published online: 08 Feb 2009 *

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