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Introduction to Linear Control Systems (Paperback)
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Introduction to Linear Control Systems (Paperback)
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Introduction to Linear Control Systems is designed as a standard
introduction to linear control systems for all those who one way or
another deal with control systems. It can be used as a
comprehensive up-to-date textbook for a one-semester 3-credit
undergraduate course on linear control systems as the first course
on this topic at university. This includes the faculties of
electrical engineering, mechanical engineering, aerospace
engineering, chemical and petroleum engineering, industrial
engineering, civil engineering, bio-engineering, economics,
mathematics, physics, management and social sciences, etc. The book
covers foundations of linear control systems, their raison detre,
different types, modelling, representations, computations,
stability concepts, tools for time-domain and frequency-domain
analysis and synthesis, and fundamental limitations, with an
emphasis on frequency-domain methods. Every chapter includes a part
on further readings where more advanced topics and pertinent
references are introduced for further studies. The presentation is
theoretically firm, contemporary, and self-contained. Appendices
cover Laplace transform and differential equations, dynamics,
MATLAB and SIMULINK, treatise on stability concepts and tools,
treatise on Routh-Hurwitz method, random optimization techniques as
well as convex and non-convex problems, and sample midterm and
endterm exams. The book is divided to the sequel 3 parts plus
appendices. PART I: In this part of the book, chapters 1-5, we
present foundations of linear control systems. This includes: the
introduction to control systems, their raison detre, their
different types, modelling of control systems, different methods
for their representation and fundamental computations, basic
stability concepts and tools for both analysis and design, basic
time domain analysis and design details, and the root locus as a
stability analysis and synthesis tool. PART II: In this part of the
book, Chapters 6-9, we present what is generally referred to as the
frequency domain methods. This refers to the experiment of applying
a sinusoidal input to the system and studying its output. There are
basically three different methods for representation and studying
of the data of the aforementioned frequency response experiment:
these are the Nyquist plot, the Bode diagram, and the
Krohn-Manger-Nichols chart. We study these methods in details. We
learn that the output is also a sinusoid with the same frequency
but generally with different phase and magnitude. By dividing the
output by the input we obtain the so-called sinusoidal or frequency
transfer function of the system which is the same as the transfer
function when the Laplace variable s is substituted with . Finally
we use the Bode diagram for the design process. PART III: In this
part, Chapter 10, we introduce some miscellaneous advanced topics
under the theme fundamental limitations which should be included in
this undergraduate course at least in an introductory level. We
make bridges between some seemingly disparate aspects of a control
system and theoretically complement the previously studied
subjects. Appendices: The book contains seven appendices. Appendix
A is on the Laplace transform and differential equations. Appendix
B is an introduction to dynamics. Appendix C is an introduction to
MATLAB, including SIMULINK. Appendix D is a survey on stability
concepts and tools. A glossary and road map of the available
stability concepts and tests is provided which is missing even in
the research literature. Appendix E is a survey on the
Routh-Hurwitz method, also missing in the literature. Appendix F is
an introduction to random optimization techniques and convex and
non-convex problems. Finally, appendix G presents sample midterm
and endterm exams, which are class-tested several times.
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