Discrete H∞ Optimization
Springer Berlin (Verlag)
978-3-540-61959-8 (ISBN)
1. Digital Signals and Digital Filters.- 1.1 Analog and Digital Signals.- 1.2 Time and Frequency Domains.- 1.3 z-Transforms.- 1.4 Digital Filters.- 1.5 Optimal Digital Filter Design Criteria.- Problems.- 2. Linear Systems.- 2.1 State-Space Descriptions.- 2.2 Transfer Matrices and Minimal Realization.- 2.3 SISO Linear Systems.- 2.4 Sensitivity and Feedback Systems.- Problems.- 3. Approximation in Hardy Spaces.- 3.1 Hardy Space Preliminaries.- 3.2 Least-Squares Approximation.- 3.3 Minimum-Norm Interpolation.- 3.4 Nevanlinna-Pick Interpolation.- Problems.- 4. Optimal Hankel-Norm Approximation and H?-Minimization.- 4.1 The Nehari Theorem and Related Results.- 4.2 s-Numbers and Schmidt Pairs.- 4.3 System Reduction.- 4.4 H?-Minimization.- Problems.- 5. General Theory of Optimal Hankel-Norm Approximation.- 5.1 Existence and Preliminary Results.- 5.2 Uniqueness of Schmidt Pairs.- 5.3 The Greatest Common Divisor: The Inner Function ?I0(z).- 5.4 AAK's Main Theorem on Best Hankel-Norm Approximation.- Problems.- 6. H?-Optimization and System Reduction for MIMO Systems.- 6.1 Balanced Realization of MIMO Linear Systems.- 6.2 Matrix-Valued All-Pass Transfer Functions.- 6.3 Optimal Hankel-Norm Approximation for MIMO Systems.- Problems.- References.- Further Reading.- List of Symbols.
Erscheint lt. Verlag | 30.5.1997 |
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Reihe/Serie | Springer Series in Information Sciences |
Zusatzinfo | XIII, 261 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 416 g |
Themenwelt | Technik ► Elektrotechnik / Energietechnik |
Schlagworte | AAK theory • Complexity • Discrete-time systems • Hardy Spaces • Hoo-optimization • Interpolation • MIMO • Operator • Optimierung • Optimization • Signal • Signal Processing • Signalverarbeitung • Steuerungssystem • Symbol |
ISBN-10 | 3-540-61959-3 / 3540619593 |
ISBN-13 | 978-3-540-61959-8 / 9783540619598 |
Zustand | Neuware |
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