Research Catalog

Title

Parametrizations in control, estimation, and filtering problems : accuracy aspects / Michel Gevers and Gang Li.

Author

Gevers, Michel.

Publication

London ; New York : Springer-Verlag, [1993], ©1993.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Li, Gang, 1961-

Description

xv, 373 pages : illustrations; 24 cm.

Series Statement

Communications and control engineering series

Uniform Title

Communications and control engineering series.

Subjects

• Electric filters, Digital
• Signal processing > Digital techniques
• Control systems > Mathematics
• Digital control systems

Bibliography (note)

• Includes bibliographical references (p. [359]-368) amd index.

Contents

• 1. Introduction. 1.1. Motivation and general statement of objectives. 1.2. A historical view and some motivating examples. 1.3. Outline of the book -- 2. Finite Word Length errors and computations. 2.2. Representations of binary numbers. 2.3. Overflow and quantization errors. 2.4. Arithmetic computations and roundoff errors. 2.5. Dynamic range and scaling -- 3. Parametrizations in digital system design. 3.2. State space realization set. 3.3. Sensitivity measure of a state space realization. 3.4. Optimal realizations with respect to a sensitivity measure. 3.5. Roundoff noise gain of state space realizations. 3.6. Minimal roundoff noise gain realizations. 3.7. Relationship between sensitivity measure and roundoff noise gain. 3.8. Examples and simulations. 3.9. Alternative approaches -- Appendix 3: Proof of Theorem 3.2 -- 4. Frequency weighted optimal design. 4.2. Minimization of a frequency weighted sensitivity measure. 4.3. Computation of the optimal realization set.
• 4.4. Numerical example -- Appendix 4.A: Proof of existence of a minimum -- Appendix 4.B: Computation of weighted Gramians -- 5. A new transfer function sensitivity measure. 5.2. Minimization of an L[subscript 2] sensitivity measure. 5.3. Relationship between L[subscript 1]/L[subscript 2] and L[subscript 2] sensitivity measures. 5.4. An example -- 6. Pole and zero sensitivity minimization. 6.2. A pole-zero sensitivity measure. 6.3. The eigenvalue sensitivity problem. 6.4. Pole sensitivity minimization and normal matrices. 6.5. Zero sensitivity measure. 6.6. Pole-zero sensitivity coordinate dependence. 6.7. Optimal realizations for pole-zero sensitivity minimization. 6.8. Numerical example -- 7. A synthetic sensitivity - roundoff design. 7.2. A synthetic FWL noise gain. 7.3. Optimizing the Total Noise Gain. 7.4. A numerical example -- Appendix 7: Existence of a constrained minimum -- 8. Sparse optimal and suboptimal realizations. 8.2. Sparse optimal realizations.
• 8.3. Theoretical versus actual sensitivity measure. 8.4. Sparse quasi-optimal realizations. 8.5. Sparse suboptimal realizations -- 9. Parametrizations in control problems. 9.2. Implementation of a pole placement controller. 9.3. FWL LQG controller design -- Appendix 9: Sensitivity functions of closed loop system -- 10. Synthetic FWL compensator design. 10.2. State space description of a compensator. 10.3. Analysis of FWL effects of a compensator. 10.4. Optimal FWL compensator realizations. 10.5. A design example -- 11. Parametrizations in the Delta operator. 11.2. Delta operator parametrizations. 11.3. Sensitivity of delta parametrizations. 11.4. Roundoff noise analysis -- Appendix 11: Proof of Theorem 11.5 -- 12. Generalized transfer function parametrizations for adaptive estimation. 12.2. Parameter estimation and the information matrix. 12.3. Connection between parametrization and data filtering. 12.4. Optimal and suboptimal design choices. 12.5. [gamma]-operator parametrizations.
• 12.6. Applications in estimation and adaptive filtering.

ISBN

• 0387198210 (alk. paper : U.S.) :
• 3540198210

LCCN

92044290

OCLC

ocm27173145

Owning Institutions

Columbia University Libraries