The generalization of Zermelo’s navigation problem with variable speed and limited acceleration

Shavakh, M. H.; Bidabad, Behroz

doi:10.1007/s40435-021-00826-z

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…The variable speed is used to perform the bank-turn mechanism. The variable speed plays an important role not only in avoiding the collision with obstacles, but also in preventing an accident and road traffic, and obtaining an optimal time [24].…”

Section: Introductionmentioning

confidence: 99%

Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism

Machmudah

Shanmugavel

Parman

et al. 2022

Drones

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This paper addresses an optimization of Unmanned Aerial Vehicle (UAV) flight trajectories by bank-turn mechanism for a fixed-wing UAV at a constant altitude. The flight trajectories should be optimal and stay in the UAV flight operational area. The maneuver planning is conducted in two steps, which are UAV path planning and UAV flight trajectory planning. For the first step, the Bezier curve is employed as a maneuvering path. The path planning optimization objective is to minimize the path length while satisfying maximum curvature and collision avoidance constraints. The flight trajectories optimization objective is to minimize maneuvering time and load factor considering, minimum/maximum speed, minimum/maximum acceleration, maximum roll angle, maximum turn rate, and aerodynamics constraints. The variable speed trajectory generation is developed within allowable speed zone considering these UAV flight constraints by employing meta-heuristic optimizations. Results show that the PSO have outperformed the GA and the GWO for both steps of path planning and trajectory planning. The variable speed has succeeded in reducing the load factor during the bank-turn mechanism using the Bezier curve. The variable speed is recommended to be conducted when the result of the maneuvering path involve the lower turning radius. A simultaneous on arrival target mission has also succeeded to be conducted using the combination of the variable speed and constant speed strategies.

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Section: Introductionmentioning

confidence: 99%

Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism

Machmudah

Shanmugavel

Parman

et al. 2022

Drones

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“…Zermelo himself solved this problem in R 2 and R 3 [10], and was generalized shortly after by Levi-Civita [11] to an n-dimensional plane R n and solved by means of variational calculus. Research on ZNP is still ongoing, following investigation on its generalizations [12], [13] and analysis on the effect of singularities [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Thresholding Methods in Non-Intrusive Load Monitoring to Estimate Appliance Status

Precioso

Gómez‐Ullate

2022

Preprint

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Non-Intrusive Load Monitoring (NILM) aims to predict the status or consumption of domestic appliances in a household only by knowing the aggregated power load. NILM can be formulated as regression problem or most often as a classification problem. Most datasets gathered by smart meters allow to define naturally a regression problem, but the corresponding classification problem is a derived one, since it requires a conversion from the power signal to the status of each device by a thresholding method. We treat three different thresholding methods to perform this task, discussing their differences on various devices from the UK-DALE dataset. We analyze the performance of deep learning state-of-the-art architectures on both the regression and classification problems, introducing criteria to select the most convenient thresholding method.

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“…The guidance law for time-optimal planning is to establish a schedule to find the switching times of the control variables so that the terminal time for the intended use is optimized, taking into account the constraints, [41]. These constraints can be kinematic and environmental constraints, respectively, as input and output constraints.…”

mentioning

confidence: 99%

Time-optimal of fixed wing UAV aircraft with input and output constraints

Shavakh¹,

Bidabad²

2022

NACO

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<p style='text-indent:20px;'>The route prediction of unmanned aerial vehicles (UAVs) according to their missions is a strategic issue in the aviation field. In some particular missions, the UAV tasks are to start a movement from a defined point to a target reign in the shortest time. This paper proposes a practical method to find the guidance law of the fixed-wing UAV to achieve time-optimal considering the ambient wind. The unique features of this paper are that the environment includes the moving and fixed obstacles as the route constraints, and the fixed-wing UAVs have to keep a given distance from these obstacles. Also, we consider the specific kinematic equation of the fixed-wing UAV and limitations on the flight-path angle and bank-angles as other constraints. We suggest a method for controlling a fixed-wing UAV to get time-optimal using the re-scaling and parameterization techniques. These techniques are useful and effective in maximizing the performance of the gradient-based methods as a sequential quadratic programming method (<inline-formula><tex-math id="M1">\begin{document}$ SQP $\end{document}</tex-math></inline-formula>) for numerical solutions. Then, all constraints of the time-optimal control problem are converted to a constraint using an exact penalty function. Due to being exact, finding the control variables and switching times is more accurate and faster. Finally, some numerical examples are simulated to explore the effectiveness of our proposed study in reality.</p>

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The generalization of Zermelo’s navigation problem with variable speed and limited acceleration

Cited by 3 publications

References 31 publications

Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism

Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism

Thresholding Methods in Non-Intrusive Load Monitoring to Estimate Appliance Status

Time-optimal of fixed wing UAV aircraft with input and output constraints

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