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Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering
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Topics in Control Theory (Hardcover, 1993 ed.)
Loot Price: R1,099
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Topics in Control Theory (Hardcover, 1993 ed.)
Series: Oberwolfach Seminars, 22
Expected to ship within 12 - 19 working days
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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 H-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. Contents: Introduction * The problem of output
regulation * Introduction * Problem statement * Output regulation
via full information * Output regulation via full error feedback *
A particular case * Well-posedness and robustness * The
construction of a robust regulator * Disturbance attenuation via
H-methods * Introduction * Problem statement * A characterization
of the L2-gain of a linear system * Disturbance attenuation via
full information * Disturbance attenuation via measured feedback *
Full information regulators * Problem statement * Time-dependent
control strategies * Examples * Time-independent control strategies
* The local case * Nonlinear observers * Problem statement *
Time-dependent observers * Error feedback regulators * Examples *
Nonlinear H-techniques * Introduction * Construction of the
saddle-point * The local scenario * Disturbance attenuation via
linearization * Matrix equations * Linear matrix equations *
Algebraic Riccati equations * Invariant manifolds * Existence
theorem * Outflowing manifolds * Asymptotic phase * Convergence for
T (1) * A special case * Dichotomies and Lyapunov functions *
Hamilton-Jacobi-Bellman-Isaacs equation * Introduction * Method of
characteristics * The equation of Isaacs * The Hamiltonian version
of Isaacs' equation * Bibliography
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