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20162022
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math.OC20242 cited

Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +2

In this paper, motion planning for a vehicle moving on a unit sphere with unit speed is considered, wherein the desired terminal location is fixed, but the terminal orientation is…

math.OC2024

Generalization of Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this paper, motion planning for a Dubins vehicle on a unit sphere to attain a desired final location is considered. The radius of the Dubins path on the sphere is lower bounded…

math.OC2022

Development of Linear Battery Model for Path Planning with Mixed Integer Linear Programming: Simulated and Experimental Validation

Drew Scott, Satyanarayana G. Manyam, David W. Casbeer +3

Mixed Integer Linear Programs (MILPs) are often used in the path planning of both ground and aerial vehicles. Such a formulation of the path planning problem requires a linear obje…

math.OC2022

The Weighted Markov-Dubins Problem

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this article, a variation of the classical Markov-Dubins problem is considered, which deals with curvature-constrained least-cost paths in a plane with prescribed initial and fi…

math.OC2022

Path Planning and Energy Management of Hybrid Air Vehicles for Urban Air Mobility

Satyanarayana G. Manyam, David W. Casbeer, Swaroop Darbha +2

A novel coupled path planning and energy management problem for a hybrid unmanned air vehicle is considered, where the hybrid vehicle is powered by a dual gas/electric system. Such…

math.OC2022

Optimal Geodesic Curvature Constrained Dubins' Paths on a Sphere

Swaroop Darbha, Athindra Pavan, K. R. Rajagopal +3

In this article, we consider the motion planning of a rigid object on the unit sphere with a unit speed. The motion of the object is constrained by the maximum absolute value, $U_{…