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Essentials of Robust Control [Kõva köide]

  • Formaat: Hardback, 432 pages, kõrgus x laius x paksus: 235x179x26 mm, kaal: 700 g
  • Ilmumisaeg: 28-Feb-1998
  • Kirjastus: Pearson
  • ISBN-10: 0135258332
  • ISBN-13: 9780135258330
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  • Kõva köide
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  • Formaat: Hardback, 432 pages, kõrgus x laius x paksus: 235x179x26 mm, kaal: 700 g
  • Ilmumisaeg: 28-Feb-1998
  • Kirjastus: Pearson
  • ISBN-10: 0135258332
  • ISBN-13: 9780135258330
Teised raamatud teemal:
This text grew from another book by Zhou, Doyle, and Glover, Robust and Optimal Control which was primarily a reference; the present volume is intended for a graduate course in multivariable control, though it is also useful as a reference for practicing control engineers interested in state-of-the-art techniques. Some basic knowledge of classical control theory and state-space theory is required. The text includes illustrative examples, many related to MATLAB commands, and numerous exercise problems. Annotation c. by Book News, Inc., Portland, Or.

Based upon the popular Robust and Optimal Control by Zhou, et al. (PH, 1995), this book offers a streamlined approach to robust control that reflects the most recent topics and developments in the field. It features coverage of state-of-the-art topics, including gap metric, v-gap metric, model validation, and real mu.

Preface vii(8)
Notation and Symbols xv(2)
List of Acronyms xvii
1 Introduction
1(10)
1.1 What Is This Book About?
1(2)
1.2 Highlights of This Book
3(6)
1.3 Notes and References
9(1)
1.4 Problems
10(1)
2 Linear Algebra
11(16)
2.1 Linear Subspaces
11(1)
2.2 Eigenvalues and Eigenvectors
12(1)
2.3 Matrix Inversion Formulas
13(2)
2.4 Invariant Subspaces
15(1)
2.5 Vector Norms and Matrix Norms
16(3)
2.6 Singular Value Decomposition
19(4)
2.7 Semidefinite Matrices
23(1)
2.8 Notes and References
24(1)
2.9 Problems
24(3)
3 Linear Systems
27(18)
3.1 Descriptions of Linear Dynamical Systems
27(1)
3.2 Controllability and Observability
28(3)
3.3 Observers and Observer-Based Controllers
31(3)
3.4 Operations on Systems
34(1)
3.5 State-Space Realizations for Transfer Matrices
35(3)
3.6 Multivariable System Poles and Zeros
38(3)
3.7 Notes and References
41(1)
3.8 Problems
42(3)
4 H(2) and H(XXX) Spaces
45(20)
4.1 Hilbert Spaces
45(2)
4.2 H(2) and H(XXX) Spaces
47(6)
4.3 Computing L(2) and H(2) Norms
53(2)
4.4 Computing L(XXX) and H(XXX) Norms
55(6)
4.5 Notes and References
61(1)
4.6 Problems
62(3)
5 Internal Stability
65(16)
5.1 Feedback Structure
65(1)
5.2 Well-Posedness of Feedback Loop
66(2)
5.3 Internal Stability
68(3)
5.4 Coprime Factorization over RH(XXX)
71(6)
5.5 Notes and References
77(1)
5.6 Problems
77(4)
6 Performance Specifications and Limitations
81(24)
6.1 Feedback Properties
81(4)
6.2 Weighted H(2) and H(XXX) Performance
85(4)
6.3 Selection of Weighting Functions
89(5)
6.4 Bode's Gain and Phase Relation
94(4)
6.5 Bode's Sensitivity Integral
98(2)
6.6 Analyticity Constraints
100(2)
6.7 Notes and References
102(1)
6.8 Problems
102(3)
7 Balanced Model Reduction
105(24)
7.1 Lyapunov Equations
106(1)
7.2 Balanced Realizations
107(10)
7.3 Model Reduction by Balanced Truncation
117(7)
7.4 Frequency-Weighted Balanced Model Reduction
124(2)
7.5 Notes and References
126(1)
7.6 Problems
127(2)
8 Uncertainty and Robustness
129(36)
8.1 Model Uncertainty
129(8)
8.2 Small Gain Theorem
137(4)
8.3 Stability under Unstructured Uncertainties
141(6)
8.4 Robust Performance
147(3)
8.5 Skewed Specifications
150(4)
8.6 Classical Control for MIMO Systems
154(3)
8.7 Notes and References
157(1)
8.8 Problems
158(7)
9 Linear Fractional Transformation
165(18)
9.1 Linear Fractional Transformations
165(8)
9.2 Basic Principle
173(5)
9.3 Redheffer Star Products
178(2)
9.4 Notes and References
180(1)
9.5 Problems
181(2)
10 XXX and XXX Synthesis
183(38)
10.1 General Framework for System Robustness
184(3)
10.2 Structured Singular Value
187(13)
10.3 Structured Robust Stability and Performance
200(13)
10.4 Overview of XXX Synthesis
213(3)
10.5 Notes and References
216(1)
10.6 Problems
217(4)
11 Controller Parameterization
221(12)
11.1 Existence of Stabilizing Controllers
222(2)
11.2 Parameterization of All Stabilizing Controllers
224(4)
11.3 Coprime Factorization Approach
228(3)
11.4 Notes and References
231(1)
11.5 Problems
231(2)
12 Algebraic Riccati Equations
233(20)
12.1 Stabilizing Solution and Riccati Operator
234(11)
12.2 Inner Functions
245(1)
12.3 Notes and References
246(1)
12.4 Problems
246(7)
13 H(2) Optimal Control
253(16)
13.1 Introduction to Regulator Problem
253(2)
13.2 Standard LQR Problem
255(3)
13.3 Extended LQR Problem
258(1)
13.4 Guaranteed Stability Margins of LQR
259(2)
13.5 Standard H(2) Problem
261(4)
13.6 Stability Margins of H(2) Controllers
265(2)
13.7 Notes and References
267(1)
13.8 Problems
267(2)
14 H(XXX) Control
269(36)
14.1 Problem Formulation
269(1)
14.2 A Simplified H(XXX) Control Problem
270(12)
14.3 Optimality and Limiting Behavior
282(4)
14.4 Minimum Entropy Controller
286(1)
14.5 An Optimal Controller
286(2)
14.6 General H(XXX) Solutions
288(3)
14.7 Relaxing Assumptions
291(3)
14.8 H(2) and H(XXX) Integral Control
294(3)
14.9 H(XXX) Filtering
297(2)
14.10 Notes and References
299(1)
14.11 Problems
300(5)
15 Controller Reduction
305(10)
15.1 H(XXX) Controller Reductions
306(6)
15.2 Notes and References
312(1)
15.3 Problems
313(2)
16 H(XXX) Loop Shaping
315(34)
16.1 Robust Stabilization of Coprime Factors
315(10)
16.2 Loop-Shaping Design
325(3)
16.3 Justification for H(XXX) Loop Shaping
328(6)
16.4 Further Guidelines for Loop Shaping
334(7)
16.5 Notes and References
341(1)
16.6 Problems
342(7)
17 Gap Metric and v-Gap Metric
349(28)
17.1 Gap Metric
350(7)
17.2 v-Gap Metric
357(13)
17.3 Geometric Interpretation of v-Gap Metric
370(3)
17.4 Extended Loop-Shaping Design
373(2)
17.5 Controller Order Reduction
375(1)
17.6 Notes and References
375(1)
17.7 Problems
375(2)
18 Miscellaneous Topics
377(14)
18.1 Model Validation
377(4)
18.2 Mixed XXX Analysis and Synthesis
381(8)
18.3 Notes and References
389(1)
18.4 Problems
390(1)
Bibliography 391(16)
Index 407