The problem of asymptotic regulation of the output of a dynamical
system plays a central role in control theory. An important variant
of this problem is the output regulation problem, which can be used
in such areas as set-point control, tracking reference signals and
rejecting disturbances generated by an external system, controlled
synchronization of dynamical systems, and observer design for
autonomous systems. This book is one of the first systematic
studies on the nonlinear output regulation problem that embraces
both the local and global solvability analysis, covering such
aspects as solvability conditions, controller design, and practical
implementation issues.
The book opens with the development of the mathematical
apparatus of convergent systemsa "very useful for studying
nonlinear control systemsa "laying the foundation for most of the
results presented in the work. The study then proceeds to a new
problem statementa "the so-called uniform output regulation
problem. A comprehensive solvability analysis of this problem is
provided in the next part of the work. Based on the solvability
analysis, constructive controller design methods for the global
uniform output regulation problem are presented for various classes
of nonlinear systems.
In an attempt to bridge the gap between theory and practice, the
authors conclude with a presentation of an experimental case study.
The experimenta "one of the first in the field of nonlinear output
regulationa "deals with control of a translational oscillator with
a rotational actuator, illustrating the applicability of the
nonlinear output regulation theory in experiments and raising a
number of questions to be addressed in futureresearch.
The scope of questions addressed in the book, the uniformity of
their treatment, the novelty of the proposed approach, and the
obtained results make this volume unique with respect to other
works on the problem of nonlinear output regulation. In addition to
being an excellent reference for the uniform output regulation
problem, the book has a tutorial value on convergent systems. The
work will be of interest to control engineers, theorists, and
students, and may be used as a textbook for a graduate course on
nonlinear control.
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