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πŸ“

Estimators for Uncertain Dynamic Systems

✍ Scribed by A. I. Matasov (auth.)


Publisher
Springer Netherlands
Year
1998
Tongue
English
Leaves
427
Series
Mathematics and Its Applications 458
Edition
1
Category
Library

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✦ Synopsis


When solving the control and design problems in aerospace and naval engiΒ­ neering, energetics, economics, biology, etc., we need to know the state of investigated dynamic processes. The presence of inherent uncertainties in the description of these processes and of noises in measurement devices leads to the necessity to construct the estimators for corresponding dynamic systems. The estimators recover the required information about system state from meaΒ­ surement data. An attempt to solve the estimation problems in an optimal way results in the formulation of 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 variational problem determines an optimal estimator. Howerever, there exist at least two reasons why we use nonoptimal estiΒ­ mators. The first reason is that the numerical algorithms for solving the corresponding variational problems can be very difficult for numerical impleΒ­ mentation. For example, the dimension of these algorithms can be very high.

✦ Table of Contents


Front Matter....Pages i-x
Guaranteed Parameter Estimation....Pages 1-78
Guaranteed Estimation in Dynamic Systems....Pages 79-159
Kalman Filter in Guaranteed Estimation Problem....Pages 161-237
Stochastic Guaranteed Estimation Problems....Pages 239-313
Estimation in Dynamic Systems with Aftereffect....Pages 315-403
Back Matter....Pages 405-422

✦ Subjects


Electrical Engineering; Systems Theory, Control; Mechanical Engineering; Calculus of Variations and Optimal Control; Optimization


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