Optimal linear controller design for periodic inputs
type: Item
instance of: scholarly article
title: Optimal linear controller design for periodic inputs
zbMATH Open document ID: 1194.93003
DOI: 10.1007/978-1-84882-975-6
author: Goele Pipeleers
author: Bram Demeulenaere
author: Jan Swevers
published in: Lecture Notes in Control and Information Sciences
publication date: 2009-12-22T00:00:00Z
review text: This book provides a general design methodology for the design of linear controllers dealing with periodic reference and/or disturbance signals. The proposed design methodology can deal, in particular, with uncertainty on the input period and allows to incorporate a variety of handle additional design specifications. The controller design problem is translated into a convex optimization problem, whose global optimum can be numerically computed in an efficient way. Experimental validation of the proposed methodology as and a comparison with major current design approaches is illustrated on an active air bearing setup. The monograph is clearly written and quite complete, even if no mention of periodic system theory is made. A complete survey of analysis and synthesis problems concerning the control of processes containing periodic references and/or disturbances is presented. The presentation is not so suitable to be used for educational purposes or to study in depth any topic, but gives a general, well organized picture of the subject, with a rich and up to date bibliography. The structure of the book is the following. Chapter 1 contains an introduction with a brief motivation for studying periodic signals and disturbances, in Chapter 2 the general methodology to design a Linear Time-Invariant (LTI) controller for an LTI system with periodic signals and disturbances is presented and its fundamental concepts are discussed. A ``periodic performance index'' is defined that is a traded-off against conflicting design objectives and the multi-objective control problem is reformulated as a convex optimization problem that can be solved only numerically. In the four subsequent chapters the design methodology is applied to a specific control situations. In particular, Chapter 3 deals with feed-forward control, Chapter 4 consider the case of the Estimated Disturbance Feedback Control, Chapter 5 deals with the repetitive controller design and the focus of Chapter 6 is the genera…
reviewed by: A. M. Perdon
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 5651406
zbMATH Keywords: optimal control
zbMATH Keywords: periodic siturbances
zbMATH Keywords: periodic references
zbMATH Keywords: applications
describes a project that uses: SDPT3
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-1-84882-975-6
OpenAlex ID: W654285125
description: scientific article; zbMATH DE number 5651406