An efficient method for the approximate solution of a finite-horizon constrained optimal control problem was proposed that uses quantized and discretized control candidates in such a way that a real-time implementatio...
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An efficient method for the approximate solution of a finite-horizon constrained optimal control problem was proposed that uses quantized and discretized control candidates in such a way that a real-time implementation on a small onboard computer is feasible. For obstacle or collision avoidance, an algorithm using predicted trajectory points and visible three-dimensional features in a point cloud was presented that is suitable for a parallel and pipelined implementation on a field-programmable gate array. This allows for a very large number of obstacles to be checked by using raw sensor data only without further processing. The second option of an obstacle cost function uses a barrier function approach. It is designed so that the cost tends to infinity if the distance between a predicted trajectory point and an obstacle approaches the minimum distance. Choosing this approach helps to influence the flown trajectory, even when the vehicle has a much greater distance to possible obstacles than the minimum distance, since features always introduce costs on a trajectory and not only if the predicted trajectory violates the minimum distance requirement.
Autonomous airborne refueling requires that the position of the receiving aircraft relative to the tanker be known very accurately and in real time. To meet this need, highly precise carrier-phase differential global ...
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Autonomous airborne refueling requires that the position of the receiving aircraft relative to the tanker be known very accurately and in real time. To meet this need, highly precise carrier-phase differential global positioning system solutions are being considered as the basis for navigation. However, the tanker introduces severe sky blockage into the autonomous airborne refueling mission, which reduces the number of visible global positioning system satellites and hence degrades the positioning accuracy. In this paper, we analyze the autonomous airborne refueling navigation problem in detail, define an optimal navigation architecture, and quantify navigation system availability. As part of this work, a high-fidelity dynamic sky-blockage model is developed and used to plan autonomous airborne refueling flight tests. The flight tests were conducted to obtain time-tagged global positioning system and attitude data that were processed offline to validate the blockage model.
The Brownian web (BW) is a collection of coalescing Brownian paths (W-(x,W-t), (x, t) is an element of R-2) indexed by the plane. It appears in particular as continuous limit of various discrete models of directed for...
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The Brownian web (BW) is a collection of coalescing Brownian paths (W-(x,W-t), (x, t) is an element of R-2) indexed by the plane. It appears in particular as continuous limit of various discrete models of directed forests of coalescing random walks and navigation schemes. Radial counterparts have been considered but global invariance principles are hard to establish. In this paper, we consider cylindrical forests which in some sense interpolate between the directed and radial forests: we keep the topology of the plane while still taking into account the angular component. We define in this way the cylindric Brownian web (CBW), which is locally similar to the planar BW but has several important macroscopic differences. For example, in the CBW, the coalescence time between two paths admits exponential moments and the CBW as its dual contain each a.s. a unique bi-infinite path. This pair of bi-infinite paths is distributed as a pair of reflected Brownian motions on the cylinder. Projecting the CBW on the radial plane, we obtain a radial Brownian web (RBW), i.e. a family of coalescing paths where under a natural parametrization, the angular coordinate of a trajectory is a Brownian motion. Recasting some of the discrete radial forests of the literature on the cylinder, we propose rescalings of these forests that converge to the CBW, and deduce the global convergence of the corresponding rescaled radial forests to the RBW. In particular, a modification of the radial model proposed in Coletti and Valencia is shown to converge to the CBW.
USING straightforward differential geometry, this note presents a path formulation for maneuvering of a fixed wing aircraft in wind. The results accommodate analytical development and minimize heuristics of path-plann...
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USING straightforward differential geometry, this note presents a path formulation for maneuvering of a fixed wing aircraft in wind. The results accommodate analytical development and minimize heuristics of path-planning and decision-making algorithms. This note also makes the dynamic difference between course and heading rates explicit. This is significant for the coupling of guidance and navigation algorithms to the vehicle augmentation loops.
Spacecraft entering Mars require precise navigation algorithms capable of accurately estimating the vehicle's position and velocity in dynamic and uncertain atmospheric environments. Discrepancies between the true...
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Spacecraft entering Mars require precise navigation algorithms capable of accurately estimating the vehicle's position and velocity in dynamic and uncertain atmospheric environments. Discrepancies between the true Martian atmospheric density and the onboard density model can significantly impair the navigation performance. This work introduces a new approach to online filtering for Martian entry using a neural network to estimate atmospheric density and employing a "consider" analysis to account for the uncertainty in the estimate. The network is trained on an exponential atmospheric density model, and its parameters are dynamically adapted in real time to account for any mismatch between the true and estimated densities. The adaptation of the network is formulated as a maximum likelihood problem by leveraging the measurement innovations of the filter to identify optimal network parameters. Within the context of the maximum likelihood approach, incorporating a neural network enables the use of stochastic optimizers known for their efficiency in the machine learning domain. Performance comparisons are conducted against two online adaptive approaches, covariance matching and state augmentation and correction, in various realistic Martian entry navigation scenarios. The results show superior estimation accuracy compared to other approaches and precise alignment of the estimated density with a broad selection of realistic Martian atmospheres sampled from perturbed Mars Global Reference Atmospheric Model data.
With the explosive growth of vehicles on the road, traffic congestion has become an inevitable problem when applying guidance algorithms to transportation networks in a busy and crowded city. In our study, the authors...
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With the explosive growth of vehicles on the road, traffic congestion has become an inevitable problem when applying guidance algorithms to transportation networks in a busy and crowded city. In our study, the authors proposed an advanced prediction and navigation models on a dynamic traffic network. In contrast to the traditional shortest path algorithms, focused on the static network, the first part of our guiding method considered the potential traffic jams and was developed to provide the optimal driving advice for the distinct periods of a day. Accordingly, by dividing the real-time Global Positioning System data of taxis in Shenzhen city into 50 regions, the equilibrium Markov chain model was designed for dispatching vehicles and applied to ease the city congestion. With the reveals of our field experiments, the traffic congestion of city traffic networks can be alleviated effectively and efficiently, the system performance also can be retained.
The hexapod robot is one of the important classes in legged robots due to its great potential to operate in complex settings with high stability and flexibility. However, few researches have investigated the navigatio...
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The hexapod robot is one of the important classes in legged robots due to its great potential to operate in complex settings with high stability and flexibility. However, few researches have investigated the navigation and autonomous locomotion of this type of robot. This paper concerns with the behavior-based control and navigation of an autonomous hexapod robot utilizing a hybrid automaton. Switching between the distinct behaviors is based on the sensory data, and no representation of the environment is included. Since these systems are likely to rise chattering phenomenon, a sliding mode including clockwise and counter-clockwise boundary following behaviors are considered between the goal attraction and obstacle avoidance modes to modify the automaton. The hybrid automaton undertakes the path planning of a reference point instead of the robot. Thus, in order to be able to implement the navigation algorithm, the hexapod robot is converted to a point mass robot within two transformations. A parameter study is also performed to investigate the effects of the controllers' design parameters on the performance of the navigation algorithm and robot. The results show that enhancing the smoothness of the robot's motion would deteriorate the precision in tracking the reference point and the reaction speed and vice versa. Moreover, simulation tests confirm the effectiveness of the navigation algorithm in generating the optimal path by perfectly switching between distinct modes as well as the capability of the robot to follow the reference point with an arbitrary gait. Furthermore, comparing the performance of the presented navigation strategy to that of similar algorithms, such as Bug and Potential field, yields a satisfying result.
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