A Unified Algebraic Approach To Control Design

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CRC Press, Oct 17, 1997 - Technology & Engineering - 304 pages
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This text deals with the most fundamental deficiency of modern theory control: the lack of an easily applicable method for the design of low order controllers. It shows that solutions to many different problems in control all reduce to the same linear algebra problem. It employs matrix equalities and matrix inequalities in the solutions of fixed order control and also provides computational algorithms.
 

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Contents

Introduction
1
Summary
9
Summary
32
Summary
49
Covariance Controllers
89
Covariance Upper Bound Controllers
131
Tix Controllers
157
Model Reduction
175
Unified Perspective
189
Projection Methods
205
Successive Centering Methods
229
A Linear Algebra Basics
253
B Calculus of Vectors and Matrices
267
Balanced Model Reduction
273
Index
283
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