2008 16th Mediterranean Conference on Control and Automation 2008
DOI: 10.1109/med.2008.4602024
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State estimation under nonlinear state inequality constraints. A tracking application

Abstract: This paper proposes a general method for dealing with state estimation under nonlinear state soft inequality constraints. This method is based on the projection approach, and then has the advantage to be compatible with any kind of state estimator. In order to be taken into account, the nonlinear constraints are linearized about the constrained state using an iterated approach. The proposed algorithm is tested on a threedimension tracking application with nonlinear constraints on the moving body acceleration. … Show more

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Cited by 29 publications
(14 citation statements)
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“…Simon 2009 for a recent survey). Many of these approaches (like, e.g., the modified gain approach of Sircoulomb et al 2008) require an analytical expression for the constraints which is not available, as mentioned, in our case. A numerical procedure, which could be adapted to our case, is the one described in Cai et al (1995), where a constrained estimation problem having many similarities with the one addressed in this paper is considered.…”
Section: Related Workmentioning
confidence: 99%
“…Simon 2009 for a recent survey). Many of these approaches (like, e.g., the modified gain approach of Sircoulomb et al 2008) require an analytical expression for the constraints which is not available, as mentioned, in our case. A numerical procedure, which could be adapted to our case, is the one described in Cai et al (1995), where a constrained estimation problem having many similarities with the one addressed in this paper is considered.…”
Section: Related Workmentioning
confidence: 99%
“…A nonlinear state inequality constraint can be transformed into a nonlinear state equality constraint [18], since two cases can occur:…”
Section: A Constrained Kalman Filteringmentioning
confidence: 99%
“…To estimate the state and this estimate satisfies (37), the estimation method with projection approach is used [10]. Let us denote byˆthe state estimated at time by an unconstrained estimator (i.e.…”
Section: Input and State Estimationmentioning
confidence: 99%