Overview

My main goal in writing this monograph is to provide a detailed treatment of uncertainty analysis for sampled-data systems in the context of sys­ tems control theory. Here, sampled-data system refers to the hybrid sys­ tem formed when continuous time and discrete time systems are intercon­ nected; by uncertainty analysis I mean achievable performance in the pres­ ence of worst -case uncertainty and disturbances. The focus of the book is sampled-data systems; however the approach presented is applicable to both standard and sampled-data systems. The past few years has seen a large surge in research activity centered around creating systematic methods for sampled-data design. The aim of this activity has been to deepen and broaden the, by now, sophisticated viewpoint developed for design of purely continuous time or discrete time systems (e.g. J{oo or -I!l optimal synthesis, J1 theory) so that it can be ap­ plied to the design of sampled-data systems. This research effort has been largely successful, producing both interesting new mathematical tools for control theory, and new methodologies for practical engineering design. Analysis of structured uncertainty is an important objective in control design, because it is a flexible and non-conservative way of analyzing sys­ tem performance, which is suitable in many engineering design scenarios.

Full Product Details

Author:   Geir E. Dullerud
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1996
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.306kg
ISBN:  

9781461275374

ISBN 10:   1461275377
Pages:   177
Publication Date:   19 January 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction.- 1.1 Modelling and Uncertainty.- 1.2 Summary of Contents.- 2 Preliminaries.- 2.1 Hilbert Space and Banach Algebras.- 2.2 Operator Theory.- 2.3 Analytic Functions.- 2.4 Time Domain Spaces and Lifting.- 2.5 Frequency Domain Function Spaces.- 2.6 The Structured Singular Value.- 3 Uncertain Sampled-data Systems.- 3.1 Summary.- 4 Analysis of LTI Uncertainty.- 4.1 Converting to Frequency Domain.- 4.2 Destabilizing Perturbations.- 4.3 Robustness Test.- 4.4 Sampled-data Frequency Response.- 4.5 Summary.- 5 A Computational Framework.- 5.1 Lower Bounds.- 5.2 Upper Bounds.- 5.3 An Algorithm.- 5.4 Example.- 5.5 Summary.- 6 Robust Performance.- 6.1 Robust Performance Conditions.- 6.2 Computational Tools.- 6.3 Example Algorithm.- 6.4 Minimizing the Scaled Hilbert-Schmidt Norm.- 6.5 Summary.- A State space for ?M.- B Proof of Proposition 5.4.- D State Space for Section 6.2.- E Proof of Lemma 6.10.- G The S-Procedure.

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