Control of Uncertain Sampled-Data Systems

Control of Uncertain Sampled-Data Systems

by Geir E. Dullerud

Paperback(Softcover reprint of the original 1st ed. 1996)

$99.99
View All Available Formats & Editions
Choose Expedited Shipping at checkout for guaranteed delivery by Thursday, March 28

Product Details

ISBN-13: 9781461275374
Publisher: Birkhäuser Boston
Publication date: 01/19/2012
Series: Systems & Control: Foundations & Applications
Edition description: Softcover reprint of the original 1st ed. 1996
Pages: 177
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

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.- 5.2.1 Convergence.- 5.2.2 Characterization in Finite Dimensions.- 5.2.3 Evaluating ?Mn.- 5.3 An Algorithm.- 5.4 Example.- 5.5 Summary.- 6 Robust Performance.- 6.1 Robust Performance Conditions.- 6.1.1 Periodic Perturbations.- 6.1.2 Quasi-Periodic Perturbations.- 6.1.3 Arbitrary Time-Varying Uncertainty.- 6.2 Computational Tools.- 6.2.1 Definition and Properties.- 6.2.2 Reduction to Finite Dimensions.- 6.3 Example Algorithm.- 6.3.1 A Cutting Plane Approach.- 6.3.2 Numerical Example.- 6.4 Minimizing the Scaled Hilbert-Schmidt Norm.- 6.4.1 The Hilbert-Schmidt Norm.- 6.4.2 Scaling the Hilbert-Schmidt Norm and Osborne’s Method.- 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.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews