Optimal Active Sensing with Process and Measurement Noise - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2018

Optimal Active Sensing with Process and Measurement Noise

Abstract

The goal of this paper is to increase the estimation performance of an Extended Kalman Filter for a nonlinear differentially flat system by planning trajectories able to maximize the amount of information gathered by onboard sensors in presence of both process and measurement noises. In a previous work, we presented an online gradient descent method for planning optimal trajectories along which the smallest eigenvalue of the Observability Gramian (OG) is maximized. As the smallest eigenvalue of the OG is inversely proportional to the maximum estimation uncertainty, its maximization reduces the maximum estimation uncertainty of any estimation algorithm employed during motion. However, the OG does not consider the process noise that, instead, in several applications is far from being negligible. For this reason, this paper proposes a novel solution able to cope with non-negligible process noise: this is achieved by minimizing the largest eigenvalue of the a posteriori covariance matrix obtained by solving the Continuous Riccati Equation as a measure of the total available information. This minimization is expected to maximize the information gathered by the outputs while, at the same time, limiting as much as possible the negative effects of the process noise. We apply our method to a unicycle robot. The comparison between the novel method and the one of our previous work (which did not consider process noise) shows significant improvements in the obtained estimation accuracy.
Fichier principal
Vignette du fichier
2018_icra_cognetti.pdf (933.17 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01717180 , version 1 (26-02-2018)

Identifiers

Cite

Marco Cognetti, Paolo Salaris, Paolo Robuffo Giordano. Optimal Active Sensing with Process and Measurement Noise. ICRA 2018 - IEEE International Conference on Robotics and Automation, May 2018, Brisbane, Australia. pp.2118-2125, ⟨10.1109/ICRA.2018.8460476⟩. ⟨hal-01717180⟩
507 View
311 Download

Altmetric

Share

Gmail Facebook X LinkedIn More