Estimators for Uncertain Dynamic Systems

Estimators for Uncertain Dynamic Systems

by A.I. Matasov

Paperback(Softcover reprint of the original 1st ed. 1998)

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Estimators for Uncertain Dynamic Systems by A.I. Matasov

The optimal estimation problems for linear dynamic systems, and in particular for systems with aftereffect, reduce to different variational problems. The type and complexity of these variational problems depend on the process model, the model of uncertainties, and the estimation performance criterion. A solution of a variational problem determines an optimal estimator. In addition, frequently the optimal algorithm for one noise model must operate under another, more complex assumption about noise. Hence, simplified algorithms must be used. It is important to evaluate the level of nonoptimality for the simplified algorithms. Since the original variational problems can be very difficult, the estimate of nonoptimality must be obtained without solving the original variational problem.
In this book, guaranteed levels of nonoptimality for simplified estimation and control algorithms are constructed. To obtain these levels the duality theory for convex extremal problems is used.
Audience: This book will be of interest to applied mathematicians, researchers and engineers who deal with estimation and control systems. The material, which requires a good knowledge of calculus, is also suitable for a two-semester graduate or postgraduate course.

Product Details

ISBN-13: 9789401062367
Publisher: Springer Netherlands
Publication date: 10/06/2012
Series: Mathematics and Its Applications , #458
Edition description: Softcover reprint of the original 1st ed. 1998
Pages: 420
Product dimensions: 6.30(w) x 9.45(h) x 0.04(d)

Table of Contents

Preface. 1. Guaranteed Parameter Estimation. 2. Guaranteed Estimation in Dynamic Systems. 3. Kalman Filter in Guaranteed Estimation Problem. 4. Shastic Guaranteed Estimation Problem. 5. Estimation Problems in Systems with Aftereffect. Bibliography. Index.

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