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Estimators for Uncertain Dynamic Systems

Estimators for Uncertain Dynamic Systems

Paperback

Series: Mathematics and Its Applications, Book 458

Medical ReferenceTechnology & EngineeringGeneral Mathematics

ISBN10: 9401062366
ISBN13: 9789401062367
Publisher: Springer Nature
Published: Oct 6 2012
Pages: 420
Weight: 1.34
Height: 0.89 Width: 6.14 Depth: 9.21
Language: English
When solving the control and design problems in aerospace and naval engi- 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 mea- 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 esti- mators. The first reason is that the numerical algorithms for solving the corresponding variational problems can be very difficult for numerical imple- mentation. For example, the dimension of these algorithms can be very high.

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