Polynomial methods in optimal control and filtering
Author(s)
Bibliographic Information
Polynomial methods in optimal control and filtering
（IEE control engineering series, 49）
P. Peregrinus Ltd. on behalf of the Institution of Electrical Engineers, c1993
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Note
Includes bibliographies and index
Description and Table of Contents
Description
This book aims to demonstrate the power and breadth of polynomial methods in control and filtering. Direct polynomial methods have previously received little attention compared with the alternative Wiener-Hopf transfer-function method and the statespace methods which rely on Riccati equations.
The book provides a broad coverage of the polynomial equation approach in a range of linear control and filtering problems. The principal feature of the approach is the description of systems in fractional form using transfer functions. This representation leads quite naturally and directly to the parameterisation of all 'acceptable' feedback controllers for a given problem in the form of a Diophantine equation over polynomials. In the polynomial equation approach, this direct parameterisation is explicitly carried through to the synthesis of controllers and filters and, further, to the computer implementation of numerical algorithms.
The book is likely to be of interest to students, researchers and engineers with some control and systems theory or signal processing background. It could be used as the basis of a graduate-level course in optimal control and filtering. The book proceeds from the necessary background material presented at a tutorial level, through recent theoretical and practical developments, to a detailed presentation of numerical algorithms.
Table of Contents
Chapter 1: The Algebraic Approach to Control System Design
Chapter 2: H2 Control Problems
Chapter 3: LQ Controller Design and Self-tuning Control
Chapter 4: Mixed H2/H Stochastic Tracking and Servo Problems
Chapter 5: Optimal Filtering Problems
Chapter 6: H Filtering
Chapter 7: n-D Polynomial Equations
Chapter 8: Eigenstructure Assignment in Linear Systems by State Feedback
Chapter 9: Polynomial Equations, Conjugacy and Symmetry
Chapter 10: J-Spectral Factorisation
by "Nielsen BookData"
