2007 46th IEEE Conference on Decision and Control 2007
DOI: 10.1109/cdc.2007.4434733
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Straight line path following for formations of underactuated underwater vehicles

Abstract: In this paper we consider the problem of straight line path following for formations of underactuated underwater vehicles. The proposed decentralized controller makes the vehicles exponentially constitute a desired formation that follows a given straight line path with a given forward speed profile. This work builds on previous work [1] and [2] for 2D motion of 3DOF underactuated surface vessels and extends the ideas of [2] to 3D motion of 5DOF underactuated underwater vehicles. Motivated by [2], simplifying a… Show more

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Cited by 41 publications
(41 citation statements)
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“…In this paper, the coordinate transformation that need to be carried out in order to facilitate the controller design consists of two steps; the first step is derived from [16][17][18][34][35][36], while the second step is different, as is shown below:…”
Section: Coordinate Transformationmentioning
confidence: 99%
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“…In this paper, the coordinate transformation that need to be carried out in order to facilitate the controller design consists of two steps; the first step is derived from [16][17][18][34][35][36], while the second step is different, as is shown below:…”
Section: Coordinate Transformationmentioning
confidence: 99%
“…An AUV is usually underactuated as the number of control inputs is less than degrees of freedom to be controlled; thus, classic control technique designs for fully actuated systems are not reliable for use in these systems [16][17][18]. It has been proven that the underactuated AUV system does not satisfy the necessary conditions of Brockett and therefore cannot be stabilized by any time-invariant continuous state feedback controller [19].…”
Section: Introductionmentioning
confidence: 99%
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“…The sideslip is calculated based on velocity measurements. A similar approach is used in [15], where path following of general paths for both surface and underwater vehicles is achieved by analyzing Serret-Frenet equations.…”
Section: Introductionmentioning
confidence: 99%
“…In [16], a LOS path following approach is used with current estimation techniques and measurements of relative velocities, allowing the USV to follow curved paths while compensating for the influence of ocean currents. The Serret-Frenet based method in [15] is extended to account for the effects of ocean current for surface and underwater vehicles in [17] and [18], respectively. Similar to [16], this method requires estimation of the ocean current, measurements of relative velocities and a parametrization of the path as a function of arc length, which can make it challenging to find a parametrization of the desired path.…”
Section: Introductionmentioning
confidence: 99%