2012
DOI: 10.1007/s10846-012-9685-6
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Hybrid Potential Field Based Control of Differential Drive Mobile Robots

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Cited by 43 publications
(14 citation statements)
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“…The combination of these aspects results in categorizing obstacle avoidance schemes into local path (sensor-based), or global path methods [14]. Local-path methods such as artificial potential field (APF) [15], or model predictive control (MPC) [16], use the knowledge of the immediate surroundings of the mobile robot to estimate the shape of obstacles and their location. Thus the planification of the alternative path is performed locally based on the sensors' readings.…”
Section: Proposed Schemementioning
confidence: 99%
“…The combination of these aspects results in categorizing obstacle avoidance schemes into local path (sensor-based), or global path methods [14]. Local-path methods such as artificial potential field (APF) [15], or model predictive control (MPC) [16], use the knowledge of the immediate surroundings of the mobile robot to estimate the shape of obstacles and their location. Thus the planification of the alternative path is performed locally based on the sensors' readings.…”
Section: Proposed Schemementioning
confidence: 99%
“…To mitigate the local converge to a local optimal, some additions to the potential field have been introduced. Valbuena and Tanner (2012) proposed the way of adding velocity constraints, meanwhile García-Delgado et al (2015) extended the repulsive function with the change of magnitude dependent on the angle between the attractive force and the obstacle. The main aim is to avoid the cancellation of the repulsive and attractive forces when applied in opposite orientations.…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately, the above-mentioned approaches cannot be applied directly to nonholonomic robots, since the gradient of navigation function is not guaranteed to be nonzero, except for trivial cases. For nonholonomic robots, one usually utilizes switching controls or combines several different control laws [13], [21], [22].…”
Section: Introductionmentioning
confidence: 99%
“…Our navigation algorithm includes a generation scheme of feasible control sequences that are then optimized according to the navigation function. Hence, our approach does not require switching controls or combination of several different control, as is the case in [13], [21], and [22]. To the best of our knowledge, this is the first single-control-law navigation algorithm for differential drive mobile robots in environments with obstacles (nonconvex constraint set) whose convergence is proved by applying the stability theory of discontinuous discrete-time nonlinear systems.…”
Section: Introductionmentioning
confidence: 99%