2021
DOI: 10.3390/s21134603
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Virtual Sensoring of Motion Using Pontryagin’s Treatment of Hamiltonian Systems

Abstract: To aid the development of future unmanned naval vessels, this manuscript investigates algorithm options for combining physical (noisy) sensors and computational models to provide additional information about system states, inputs, and parameters emphasizing deterministic options rather than stochastic ones. The computational model is formulated using Pontryagin’s treatment of Hamiltonian systems resulting in optimal and near-optimal results dependent upon the algorithm option chosen. Feedback is proposed to re… Show more

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Cited by 30 publications
(26 citation statements)
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References 30 publications
(54 reference statements)
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“…equations ( 35) -( 38)) expressed in terms of desired trajectories [24] which must be analytic expressions to facilitate autonomous calculation. The desired trajectories are currently formulated using single sinusoidal trajectories [24] as described in section 2.11, while the current novel developments seek to utilize constrained optimal trajectories [60] The modification of the governing differential equations of motion by replacing the motion states with desired states necessitates autonomous desired state trajectory generation, and this partially motivates the application of single-sinusoidal frequency-based state trajectories. Development of such trajectories in this manuscript make possible future sequel research applying deterministic artificial intelligence (as currently instantiated) to the optimal control of highly flexible space robotics.…”
Section: Self-awareness Statementsmentioning
confidence: 99%
“…equations ( 35) -( 38)) expressed in terms of desired trajectories [24] which must be analytic expressions to facilitate autonomous calculation. The desired trajectories are currently formulated using single sinusoidal trajectories [24] as described in section 2.11, while the current novel developments seek to utilize constrained optimal trajectories [60] The modification of the governing differential equations of motion by replacing the motion states with desired states necessitates autonomous desired state trajectory generation, and this partially motivates the application of single-sinusoidal frequency-based state trajectories. Development of such trajectories in this manuscript make possible future sequel research applying deterministic artificial intelligence (as currently instantiated) to the optimal control of highly flexible space robotics.…”
Section: Self-awareness Statementsmentioning
confidence: 99%
“…In the literature, virtual sensing has been used for physical sensors replacement [54], as remote sensing for unobserved spectra [55], for estimating nonmeasurable quantities [56], and for the calibration of low-cost air quality sensors [57].…”
Section: Synthetic Data Augmentationmentioning
confidence: 99%
“…Tse et al [ 32 ] used a low-cost sensing system based on edge computing to monitor indoor environment of cultural heritage buildings. Recently, real-time optimization methods [ 33 ] and artificial intelligence methods [ 34 ] provide the ability for better control of the system. In this paper, cloud computing and edge computing are integrated to provide the capability for real-time analysis.…”
Section: Introductionmentioning
confidence: 99%