A direct derivation of the optimal linear filter using the maximum principle
- 1 December 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 12 (6), 690-698
- https://doi.org/10.1109/tac.1967.1098732
Abstract
The purpose of this paper is to present an alternate derivation of optimal linear filters. The basic technique is the use of a matrix version of the maximum principle of Pontryagin coupled with the use of gradient matrices to derive the optimal values of the filter coefficients for minimum variance estimation under the requirement that the estimates be unbiased. The optimal filter which is derived turns out to be identical to the well-known Kalman-Bucy filter.Keywords
This publication has 6 references indexed in Scilit:
- Optimal waveform design via control theoretic conceptsInformation and Control, 1967
- Estimation of the state of a nonlinear process in the presence of nongaussian noise and disturbancesJournal of the Franklin Institute, 1966
- Sequential Estimation of States and Parameters in Noisy Nonlinear Dynamical SystemsJournal of Basic Engineering, 1966
- Signal-Noise Ratio Maximization Using the Pontryagin Maximum PrincipleBell System Technical Journal, 1966
- GRADIENT MATRICES AND MATRIX CALCULATIONSPublished by Defense Technical Information Center (DTIC) ,1965
- New Results in Linear Filtering and Prediction TheoryJournal of Basic Engineering, 1961