Journal Article10.1016/J.AUTOMATICA.2004.03.001
Improved estimation performance using known linear constraints
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TL;DR: This work solves a constrained optimization problem where the additional linear constraints are imposed in the form of partially known boundary conditions, and shows how the accuracy of the estimates is improved by taking the constraints into account.
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About: This article is published in Automatica. The article was published on 01 Aug 2004. The article focuses on the topics: Constrained optimization & Optimization problem.
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Citations
Kalman filtering with state constraints: a survey of linear and nonlinear algorithms
TL;DR: In this paper, the authors provide an overview of various ways to incorporate state constraints in the Kalman filter and its nonlinear modifications, including the unscented Kalman Filter, the particle filter, and the extended Kalman Filtering.
Brief paper: State estimation for linear systems with state equality constraints
Sangho Ko,Robert R. Bitmead +1 more
TL;DR: It is shown, without using optimality, that the constrained estimator outperforms the other filters for estimating the constrained system state.
211
Differential constraints for bounded recursive identification with multivariate splines
TL;DR: It is demonstrated that inclusion of differential constraints in the least squares optimization scheme can prevent polynomial divergence close to edges of the model domain where local data coverage may be insufficient, a situation often encountered with global recursive data approximation.
39
State estimation of linear systems with state equality constraints
Sangho Ko,Robert R. Bitmead +1 more
TL;DR: In this paper, the state estimation problem for linear stochastic systems with state equality constraints was studied and a projected system representation was proposed. But the constrained estimator was not considered.
28
Kalman filtering under unknown inputs and norm constraints
TL;DR: In this article, the authors considered the design of KF for systems subject to norm constraints on the state and unknown inputs, whose models or statistical properties are not assumed to be available.
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