Proceedings of the 2011 American Control Conference 2011
DOI: 10.1109/acc.2011.5991065
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State estimation of spatially distributed processes using mobile sensing agents

Abstract: This work is intended as an attempt to develop a simple real-time guidance scheme for mobile sensors used to enhance estimation of a spatially distributed process described by a partial differential equation. Using Lyapunov stability arguments, a stable control law is provided for each of the mobile agents while taking account of the dynamics of sensor movements, collision avoidance conditions and various modes of inter-agent connectivity. Numerical simulations for a 1D diffusion equation with three sensor age… Show more

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Cited by 34 publications
(27 citation statements)
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“…In contrast to related approaches [4,6,11,14,16,17], the proposed adaptive observation strategy, in principle, treats state estimation and vehicle control as two separate problems. However, to obtain a working and closed-loop solution, both parts are coupled by information exchange.…”
Section: Adaptive Sensor Motion Strategymentioning
confidence: 99%
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“…In contrast to related approaches [4,6,11,14,16,17], the proposed adaptive observation strategy, in principle, treats state estimation and vehicle control as two separate problems. However, to obtain a working and closed-loop solution, both parts are coupled by information exchange.…”
Section: Adaptive Sensor Motion Strategymentioning
confidence: 99%
“…A finite element method with a characteristic Galerkin approach is applied to discretize and solve (6). The number of grid nodes amounts to about 1000.…”
Section: Dynamic Test Casementioning
confidence: 99%
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“…Solving such complex problems is hard and time-consuming, especially regarding the real-time requirements of the application. Demetriou and Ucinski (2011) try to circumvent the optimal control problem and propose a Lyapunov-based sensor guidance scheme that can be applied in real-time. The resulting sensor motion allows for collision avoidance and connectivity constraints, but cannot be considered optimal with respect to vehicle cooperation.…”
Section: Introductionmentioning
confidence: 99%
“…However in the infinite-dimensional framework, we can mention a different approach in Demetriou (2011); Ucinski (2005) whose goal is to derive a stable distributed parameter state observer by using measurements from some mobile sensors which have also to be controlled to satisfy this goal.…”
Section: Introductionmentioning
confidence: 99%