2016
DOI: 10.1016/j.conengprac.2016.07.008
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Avoiding local minima in the potential field method using input-to-state stability

Abstract: International audienceSupported by a novel field definition and recent control theory results, a new method to avoid local minima is proposed. It is formally shown that the system has an attracting equilibrium at the target point, repelling equilibriums in the obstacles centers and saddle points on the borders. Those unstable equilibriums are avoided capitalizing on the established Input-to-State Stability (ISS) property of this multistable system. The proposed modification of the PF method is shown to be effe… Show more

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Cited by 40 publications
(18 citation statements)
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“…A challenge for each of these algorithms is the local minima trap issue, which draws much attention from researchers. 79 To generate dynamically feasible paths, the latest APF methods, 10,11 integrated with the model predictive control (MPC) methods, take into account the vehicle dynamics. The APF methods can generate safe vehicle motions online, and hence are suitable for real-time applications.…”
Section: Related Workmentioning
confidence: 99%
“…A challenge for each of these algorithms is the local minima trap issue, which draws much attention from researchers. 79 To generate dynamically feasible paths, the latest APF methods, 10,11 integrated with the model predictive control (MPC) methods, take into account the vehicle dynamics. The APF methods can generate safe vehicle motions online, and hence are suitable for real-time applications.…”
Section: Related Workmentioning
confidence: 99%
“…This subsection presents an approach to transform the under-actuated system, via a coordinate transformation [48],to a simpler one for controller design. Considering the dynamics of a point Q on the X b -axis of the blimp body-fixed frame (see Fig.…”
Section: Transformationmentioning
confidence: 99%
“…Several efforts have been made by researchers to address the path planning problem for robots docking already [13,15,[20][21][22][23][24][25][26][27]. Among them, one of the most popular approaches is the artificial potential field (APF) method.…”
Section: Introductionmentioning
confidence: 99%
“…With properly designed potential functions, the robot will be navigated to the goal point and avoid collision in real time. However, the local minimal points of the total potential field in the navigation process may cause the local minima problem of the APF method which will prevent the robot from approaching the destination [24]. In [22], the APF approach is adopted to generate the desired trajectory for an AUV homing and docking.…”
Section: Introductionmentioning
confidence: 99%