Combining switching, over-saturation and scaling to optimise control performance in the presence of model uncertainty and input saturation
type: Item
instance of: scholarly article
title: Combining switching, over-saturation and scaling to optimise control performance in the presence of model uncertainty and input saturation
zbMATH Open document ID: 1002.93017
DOI: 10.1016/S0005-1098(01)00307-7
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: The authors survey several ideas that can be used in the design of switching controllers to achieve high performance on linear real control systems having input saturation. The ideas evolve from an existing scheme known as the (piecewise-linear LQ control) PLC controller. The authors describe two alternative ways of modifying PLC controller. These modifications include the concept of allowed oversaturation and the PLC/LHG design. Both methods are aimed at forcing the control into saturation and then making best use of the available control. The authors also present a novel controller that combines the above methods. The controller has been shown to lead to performance advantages via a simulation example. A robust design is presented. In all cases the authors establish asymptotic stability of the resulting hybrid systems.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 49N10
zbMATH DE Number: 1797095
zbMATH Keywords: switching control
zbMATH Keywords: saturating actuators
zbMATH Keywords: oversaturation
zbMATH Keywords: scaling
zbMATH Keywords: robust control
zbMATH Keywords: uncertainties
zbMATH Keywords: design
zbMATH Keywords: input saturation
zbMATH Keywords: PLC controller
zbMATH Keywords: asymptotic stability
zbMATH Keywords: hybrid systems
author: José A. De Doná
author: Graham C. Goodwin
author: S. O. Reza Moheimani
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797095