Linear Control Theory

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. Introduction to State Space.

State Feedback and Controllability.

State Estimation and Observability.

Model Approximation via Balanced Realization.

Quadratic Control.

LQG Control.

Signal and System Spaces.

System Algebra.

Hx State Feedback and Estimation.

Hx Output Feedback Control.

Appendices.

References.

Index. "...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)

Frederick Walker Fairman is the author of Linear Control Theory: The State Space Approach, published by Wiley. 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.