1997
DOI: 10.1109/87.572125
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Trajectory tracking control of a car-trailer system

Abstract: Abstract-This paper presents the experimental results of the tracking control of a car-trailer system. The proposed scheme involves three steps: 1) generate a path off-line using a path space iterative algorithm; 2) linearize the kinematic model about a trajectory which is constructed using the path; and 3) apply a time-varying linear quadratic regulator to track the trajectory. Experiments presented include parallel parking a car, docking a tractor-trailer vehicle, and parallel parking a double tractortrailer… Show more

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Cited by 135 publications
(71 citation statements)
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References 8 publications
(11 reference statements)
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“…Motivated by the aforementioned ideas, the hierarchical control approach in mobile robotics (see [86,104,105,115]), and use of DC/DC converter-DC motor systems (see [116,117]), the purpose of the present paper is threefold. First, it aims, to introduce a three-level hierarchical controller that considers dynamics of the three subsystems that compose a WMR to solve, in a more complete way, the trajectory tracking task.…”
Section: Discussion and Contributionmentioning
confidence: 99%
See 1 more Smart Citation
“…Motivated by the aforementioned ideas, the hierarchical control approach in mobile robotics (see [86,104,105,115]), and use of DC/DC converter-DC motor systems (see [116,117]), the purpose of the present paper is threefold. First, it aims, to introduce a three-level hierarchical controller that considers dynamics of the three subsystems that compose a WMR to solve, in a more complete way, the trajectory tracking task.…”
Section: Discussion and Contributionmentioning
confidence: 99%
“…In this subsection, controllers designed in Sections 4.1, 4.2, and 4.3 are integrated using a hierarchical approach (see [86,104,105,[115][116][117]) to solve the trajectory tracking task for a differential drive WMR when dynamics associated with each one of subsystems composing the WMR are considered (see Figure 1). Using the kinematic models associated with a differential drive WMR (1) and a reference robot (3), it was found that Complexity 7 velocity profiles and , ensuring ( , , ) → ( * , * , * ), are given by (8) and (9), respectively.…”
Section: Hierarchical Tracking Controlmentioning
confidence: 99%
“…For controlling the UAV, we use a Linear Quadratic Regulator (LQR) based system [34]. The LQR problem formulation is similar to that in [35] and the resulting optimization problem is solved using DP [36]. The control policy returns a target cell location at each time step.…”
Section: Implementation-to Implement the Dynamics We Define A 6-d Stmentioning
confidence: 99%
“…[9][10][11][12] It can, however, introduce errors that, while not an issue in some applications, can cause a significant problem if the precise location of the trailer is desired. It was assumed earlier that the geometry of the system is known.…”
Section: Iib Limitations Of the Current Methodsmentioning
confidence: 99%