Uncertainty and feedback : H [infinity] loop-shaping and the [nu]-gap metric /

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Author / Creator:Vinnicombe, Glenn.
Imprint:London : Imperial College Press, ©2001.
Description:1 online resource (xxi, 316 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11173350
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ISBN:9781848160453
1848160453
186094163X
9781860941634
Notes:Includes bibliographical references and index.
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Other form:Print version: Vinnicombe, Glenn. Uncertainty and feedback. London : Imperial College Press, ©2001 186094163X

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245 1 0 |a Uncertainty and feedback :  |b H [infinity] loop-shaping and the [nu]-gap metric /  |c Glenn Vinnicombe. 
260 |a London :  |b Imperial College Press,  |c ©2001. 
300 |a 1 online resource (xxi, 316 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a ""Contents""; ""List of Figures""; ""List of Symbols""; ""Introduction""; ""CHAPTER 1 An introduction to Hâ?ž, control""; ""1.1 Norms on signals and systems""; ""1.1.1 The signal spaces L2 and H2""; ""1.1.2 The function spaces Lâ?ž and Hâ?ž""; ""1.2 The stability of feedback systems""; ""1.2.1 Coprime factor representations""; ""1.2.2 Winding numbers and the principle of the argument""; ""1.2.3 The Nyquist stability criterion""; ""1.3 Robust stability""; ""1.3.1 Tools for robust stability analysis""; ""1.3.2 Additive uncertainty"" 
505 8 |a ""1.3.3 Multiplicative and inverse multiplicative uncertainty""""1.3.4 The role of alternate uncertainty representations""; ""1.3.5 Coprime factor uncertainty""; ""1.3.6 A general framework""; ""1.4 Solution to the Hâ?ž control problem""; ""1.5 Graphs of linear systems*""; ""1.5.1 Graph representations""; ""Notes and References""; ""CHAPTER 2 Hâ?ž Loop-shaping""; ""2.1 Introduction""; ""2.2 The loop shaping design procedure of McFarlane and Glover""; ""2.2.1 Bounds on the loop shape""; ""2.2.2 Bounds on the closed-loop transfer functions""; ""2.3 Inner functions, and properties of bp, c"" 
505 8 |a ""2.4 bp, c and the Riemann sphere""""2.5 Direct bounds on the closed-loop transfer functions""; ""2.5.1 Characterization of the closed-loop transfer functions""; ""2.5.2 Bounds for single-input, single-output systems""; ""2.5.3 Gain and phase margins""; ""2.5.4 Bounds for multivarlable systems""; ""2.6 Choosing the weights, Part 1: For performance""; ""Summary""; ""Notes and references""; ""CHAPTER 3 The v-gap metric""; ""3.1 Introduction""; ""3.1.1 Properties of the v-gap metric""; ""3.1.2 An alternative definition of the v -gap metric"" 
505 8 |a ""3.1.3 Comparison with the gap metric -- the importance of the duality property, and its use in design""""3.1.4 Examples""; ""3.2 The v-gap metric""; ""3.2.1 Definition of the metric""; ""3.2.2 A frequency response formula for the metric""; ""3.2.3 Î?v is a metric""; ""3.3 Robust stability and performance theorems""; ""3.3.1 Basic results""; ""3.3.2 Sufficient conditions""; ""3.3.3 Necessary conditions""; ""3.4 Parametric uncertainty and the v-gap metric""; ""3.5 Choosing the weights, Part 2: Forrobustness""; ""3.6 Closed-loop errors and the v-gap""; ""3.7 Extending the metric"" 
505 8 |a ""3.8 The L2-gap and the graph topology""""Summary""; ""Notes and References""; ""CHAPTER 4 More Hâ?ž loop-shaping""; ""4.1 The optimal controller, and the optimal stability margin""; ""4.2 A frequency response interpretation of bopt(P)""; ""4.3 Choosing the weights, Part 3: For feasibility""; ""4.4 An extended loop shaping design procedure""; ""4.5 Robust tracking""; ""4.5.1 Command decoupling""; ""Notes and References""; ""CHAPTER 5 Complexity and robustness""; ""5.1 Introduction""; ""5.2 Less conservative robustness results""; ""5.3 Examples""; ""5.4 The discrete time case"" 
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650 0 |a H infinity symbol control. 
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