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Mathematics isplayinganevermoreimportantroleinthephysicalandbiological
sciences,provokinga blurringof boundariesbetweenscientific disciplinesand a
resurgenceof interestinthemodemas well as theclassicaltechniquesof applied
mathematics. Thisrenewalofinterest,bothinresearchandteaching,hasledtothe
establishment of theseries: Texts in AppliedMathematics (TAM).
Thedevelopmentofnewcoursesisanaturalconsequenceofahighleve
標簽：
Introduction
Mathematical
theory
the
to
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The purpose of this preface is twofold. Firstly, to give an informal historical
introduction to the subject area of this book, Systems and Control, and
secondly, to explain the philosophy of the approach to this subject taken
in this book and to outline the topics that will be covered.
標簽：
Introduction
Mathematical
theory
the
to
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The countless technological advances of the twentieth century require that
futureengineering educationemphasizebridging thegapbetweentheoryand the
real world.Thisedition hasbeenprepared withparticular attentiontothe needs
of undergraduates, especially those who seek a solid foundation in control
theory aswellas an ability tobridgethe gapbetween control theory and itsreal-
world applications.To help the reader achieve this goal, computer-aided design
accuracy checks (CADAC) are used throughout the text to encourage good
habits of computerliteracy.Each CADAC uses fundamentalconcepts to ensure
the viability of a computer solution.
標簽：
Analysis
Control
Linear
Design
System
Fifth
and
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Despite the development of a now vast body of knowledge known as
modern control theory, and despite some spectacular applications of this
theory to practical situations, it is quite clear that much of the theory has
yet to find application, and many practical control problems have yet to find
a theory which will successfully deal with them. No book of course can
remedy the situation at this time. But the aim of this book is to construct
one of many bridges that are still required for the student and practicing
control engineer between the familiar classical control results and those of
modern control theory.
標簽：
Control
Optimal
Linear
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The basic topic of this book is solving problems from system and control theory using
convex optimization. We show that a wide variety of problems arising in system
and control theory can be reduced to a handful of standard convex and quasiconvex
optimization problems that involve matrix inequalities. For a few special cases there
are “analytic solutions” to these problems, but our main point is that they can be
solved numerically in all cases. These standard problems can be solved in polynomial-
time (by, e.g., the ellipsoid algorithm of Shor, Nemirovskii, and Yudin), and so are
tractable, at least in a theoretical sense. Recently developed interior-point methods
for these standard problems have been found to be extremely efficient in practice.
Therefore, we consider the original problems from system and control theory as solved.
標簽：
Linear_Matrix_Inequalities_in_Sys
tem
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The main aim of this book is to present a unified, systematic description of
basic and advanced problems, methods and algorithms of the modern con-
trol theory considered as a foundation for the design of computer control
and management systems. The scope of the book differs considerably from
the topics of classical traditional control theory mainly oriented to the
needs of automatic control of technical devices and technological proc-
esses. Taking into account a variety of new applications, the book presents
a compact and uniform description containing traditional analysis and op-
timization problems for control systems as well as control problems with
non-probabilistic models of uncertainty, problems of learning, intelligent,
knowledge-based and operation systems – important for applications in the
control of manufacturing processes, in the project management and in the
control of computer systems.
標簽：
Modern_Control_theory
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If you are acquainted with neural networks, automatic control problems
are good industrial applications and have a dynamic or evolutionary nature
lacking in static pattern-recognition; control ideas are also prevalent in the
study of the natural neural networks found in animals and human beings.
If you are interested in the practice and theory of control, artificial neu-
ral networks offer a way to synthesize nonlinear controllers, filters, state
observers and system identifiers using a parallel method of computation.
標簽：
Control
Systems
Neural
For
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Control systems are used to regulate an enormous variety of machines, products, and
processes. They control quantities such as motion, temperature, heat flow, fluid flow,
fluid pressure, tension, voltage, and current. Most concepts in control theory are based
on having sensors to measure the quantity under control. In fact, control theory is
often taught assuming the availability of near-perfect feedback signals. Unfortunately,
such an assumption is often invalid. Physical sensors have shortcomings that can
degrade a control system.
標簽：
Observers
Control
Systems
in
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Despite the development of a now vast body of knowledge known as modern
control theory, and despite some spectacular applications of this theory to practical
situations, it is quite clear that some of the theory has yet to find application, and
many practical control problems have yet to find a theory that will successfully deal
with them. No one book, of course, can remedy the situation. The aim of this book
is to construct bridges that are still required for the student and practicing control
engineer between the familiar classical control results and those of modern control
theory.
標簽：
Quadratic
Optimal
Control
Methods
Linear
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In this chapter we give a quick overview of control theory, explaining why
integral feedback control works, describing PID controllers, and summariz-
ing some of the currently available techniques for PID controller design.
This background will serve to motivate our results on PID control, pre-
sented in the subsequent chapters.
標簽：
Controllers
Time-Delay
Systems
PID
for
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