Dynamic Model of a Holonomic Mobile Robot with Actuated Caster Wheels

El-Shenawy, Ahmed; Wagner, Achim; Badreddin, Essameddin

doi:10.1109/icarcv.2006.345354

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…The second step is a relation between the reference and output wheel angular velocities, which is described by the dynamic model mentioned in [7] through the following equatioṅ…”

Section: Lyapunov Analysismentioning

confidence: 99%

“…As noticed from Fig 2, the systems contains the robot kinematics/dynamics models and the relation betweenṗ m and ρ c can be deducted in three steps. First the Forward Kinematics, which was developed in [7] as followṡ…”

Section: Lyapunov Analysismentioning

confidence: 99%

“…Such problem arises obviously in the case of the holonomic mobile robot C3P (Caster 3 wheeled Platform). The C3P theoretical kinematics and dynamics based velocity and position controllers are discussed in details in [6], [7], [8] and [9].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Lyapunov stability study for a special actuated holonomic wheeled mobile robot

El-Shenawy

Wagner²,

Kandil³

et al. 2011

2011 IEEE International Conference on Systems, Man, and Cybernetics

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This paper represents the Lyapunov stability study for the wheeled mobile robot C3P based on a non-linear and complex mathematical model. The candidate Lyapunov function used in this work is extracted from the robot kinetic energy equation, which includes the robot dynamics and kinematics models. Such function contains uncontrolable and unpredicticable variables that yeild to very complicated and long analitical analysis. Therefore the analysis is done -part-analiticaly and numericaly in this work, which shows some stability uncertainty within the stable regions. The uncertain stability regions are considered as unstable regions generated by specified operating points. The effect of the control parameters values on overcoming such non-stable regions is presented for different operating points. Forced disturbances are applied on the robot in two different practical experiments. The practical results illustrate the stability study.

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“…The second step is a relation between the reference and output wheel angular velocities, which is described by the dynamic model mentioned in [7] through the following equatioṅ…”

Section: Lyapunov Analysismentioning

confidence: 99%

Section: Lyapunov Analysismentioning

confidence: 99%