Research Catalog

Topics in control theory

Title: Topics in control theory / Hans W. Knobloch, Alberto Isidori, Dietrich Flockerzi.
Author: Knobloch, H. W. (Hans Wilhelm), 1927-
Publication: Basel ; Boston : Birkhäuser Verlag, [1993], ©1993.

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Status	Format	Access	Call Number	Item Location
Request for On-site Use Request Scan How do I pick up this item and when will it be ready?	Text	Request in advance	QA402.3 .K557 1993	Off-site

Additional Authors

Description

vi, 166 pages; 24 cm.

Summary

One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a self-contained introduction to the mathematical background of this type of regulator design. The topics selected address the matter of greatest interest to the control community at present, namely, when the design objective is the reduction of the influence of exogeneous disturbances upon the output of the system.
In a first scenario the disturbance signal is regarded as a deterministic time series with known dynamics but unknown parameters. The design objective is then the asymptotic disturbance compensation. In a second scenario, no information about the disturbance signal is available apart from some bounds. Here, in an [actual symbol not reproducible]-approach, control strategies are worked out which will prove efficient for all such disturbances.
The intention of this book is to present ideas and methods on such a level that the beginning graduate student will be able to follow current research. New results are included, especially for nonlinear control systems, and as a service to the reader, an extensive appendix presents topics from linear algebra, invariant manifolds and calculus of variations, information which is hardly to be found in standard textbooks.

Series Statement

DMV Seminar ; Bd. 22

Uniform Title

DMV Seminar ; Bd. 22.

Subject

Control theory

Bibliography (note)

Contents

1. The problem of output regulation. 1.3. Output regulation via full information. 1.4. Output regulation via error feedback. 1.5. A particular case. 1.6. Well-posedness and robustness. 1.7. The construction of a robust regulator -- 2. Disturbance attenuation via [actual symbol not reproducible]-methods. 2.3. A characterization of the [actual symbol not reproducible]-gain of a linear system. 2.4. Disturbance attenuation via full information. 2.5. Disturbance attenuation via measured feedback -- 3. Full information regulators. 3.2. Time-dependent control strategies. 3.4. Time-independent control strategies. 3.5. The local case -- 4. Nonlinear observers. 4.2. Time-dependent observers. 4.3. Error feedback regulators -- 5. Nonlinear [actual symbol not reproducible]-techniques. 5.2. Construction of the saddle-point. 5.3. The local scenario. 5.4. Disturbance attenuation via linearization -- A Matrix equations. A.1. Linear matrix equations. A.2. Algebraic Riccati equations -- B Invariant manifolds.
B.1. Existence theorem. B.2. Outflowing manifolds. B.3. Asymptotic phase. B.4. Convergence for [actual symbol not reproducible]. B.5. A special case. B.6. Dichotomies and Lyapunov functions -- C Hamilton-Jacobi-Bellman-Isaacs equation. C.2. Method of characteristics. C.3. The equation of Isaacs. C.4. The Hamiltonian version of Isaacs' equation.

ISBN

LCCN

93039836

OCLC

Owning Institutions

Columbia University Libraries