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Linear Control Theory: The State Space Approach
 
 
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Linear Control Theory: The State Space Approach [Hardcover]

Frederick Walker Fairman (Author)

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Book Description

July 7, 1998 0471974897 978-0471974895 1
Incorporating recent developments in control and systems research, Linear Control Theory provides the fundamental theoretical background needed to fully exploit control system design software. This logically-structured text opens with a detailed treatment of the relevant aspects of the state space analysis of linear systems. End-of-chapter problems facilitate the learning process by encouraging the student to put his or her skills into practice. Features include:
* The use of an easy to understand matrix variational technique to develop the time-invariant quadratic and LQG controllers
* A step-by-step introduction to essential mathematical ideas as they are needed, motivating the reader to venture beyond basic concepts
* The examination of linear system theory as it relates to control theory
* The use of the PBH test to characterize eigenvalues in the state feedback and observer problems rather than its usual role as a test for controllability or observability
* The development of model reduction via balanced realization
* The employment of the L2 gain as a basis for the development of the H??? controller for the design of controllers in the presence of plant model uncertainty
Senior undergraduate and postgraduate control engineering students and practicing control engineers will appreciate the insight this self-contained book offers into the intelligent use of today s control system software tools.

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Editorial Reviews

Review

"...not only covers the essential topics of linear systems...but also covers the other popular control topics such as Linear Quadratic Regulator...will find its use for students interested in advanced control topics." (International Journal of Robust and Linear Control, Vol. 12, 2002)

From the Publisher

This book will present the basic theory to use control system design software, giving a comprehensive treatment of the time domain or state analysis of linear systems. Uniquely this book will focus on both theory and applications and, in order to facilitate learning, basic mathematical ideas (mostly linear algebra) will be introduced.

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Inside This Book (learn more)
First Sentence:
A well known behavioral phenomenon of dynamic systems is the appearance of an output in the absence of an input. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
plant state model, state feedback control problem, form state model, given state model, unobservable imaginary axis eigenvalues, based feedback control system, order state model, output feedback control problem, initial plant state, minimal order observer, unobservable eigenvalues, state model parameters, uncontrollable eigenvalue, state estimation problem, full order system, stabilizing solution, state estimation error, coprime factorization, generalized plant, state feedback matrix, observer eigenvalues, state differential equation, fictitious output, coordinate transformation matrix, balanced coordinates
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Suppose, Proof Let, Proof Recall
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