Improved robust model predictive control with guaranteed H2/H∞ performance for polytopic systems. (August 2015)

• Record Type: Journal Article
• Authors: Li, Jiwei; Li, Dewei; Xi, Yugeng; Lu, Jianbo
• Other Names: Li Kang guest-editor.
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 37:Number 7(2015)
• Page Start: 892
• Page End: 899
• Publication Date: 2015-08
• Subjects: Mixed H2/H∞control -- model predictive control -- constraints -- recursive feasibility; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331213494219
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper is concerned with model predictive control for polytopic systems subject to exogenous disturbance andH 2 /H ∞ performance constraints. It is shown that a better characterization ofH 2 /H ∞ performance can be provided by introducing additional free parameters. Meanwhile, input constraints are ensured by using a dilated linear matrix inequality technique, so the utilization of actuator capability is improved. These two aspects bring extra degrees of freedom in optimizing control performance. Recursive feasibility and stability of the controller are proved. Numerical examples verify these properties.