Linear Control Theory

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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Incorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include:
* The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers
* A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts
* The examination of linear system theory as it relates to controltheory
* The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability
* The development of model reduction via balanced realization
* The employment of the L2 gain as a basis for the development ofthe H??? controller for the design of controllers in the presenceof plant model uncertainty
Senior undergraduate and postgraduate control engineering studentsand practicing control engineers will appreciate the insight thisself-contained book offers into the intelligent use of today scontrol system software tools.