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Fix fourbarlinkage #1837

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Summary:

Fixed effort mapping for FourBarLinkageTransmission, related to #1746.

New equations for effort mapping meet the principles of conservation of energy.

Actuator to joint:

$$\tau_{j_1} = n_{j_1} n_{a_1} \tau_{a_1} + n_{a_2} \tau_{a_2}$$ $$\tau_{j_2} = n_{j_2} n_{a_2} \tau_{a_2}$$

Joint to actuator:

$$\tau_{a_1} = \frac{\tau_{j_1} - \tau_{j_2}/n_{j_2}} {n_{j_1} n_{a_1}}$$ $$\tau_{a_2} = \frac{\tau_{j_2}} {n_{j_2} n_{a_2}}$$

@bmagyar bmagyar added backport-humble This label should be used by maintaines only! Label triggers PR backport to ROS2 humble. backport-iron This label should be used by maintaines only! Label triggers PR backport to ROS2 Iron. labels Nov 2, 2024
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bmagyar commented Nov 2, 2024

Could you provide a few further references for documentation please? Wikipedia works too

@BartlomiejK2
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Unfortunately, I can not find any documentation other than original FourBarLinkageTransmission doxygen documentation, in which this class is the same as one in ros2-control transmission.

To calculate torques, I derived velocity equations for Remote second joint actuation model, and then used energy conservtion law to calculate torques. I could not derive them by itself. If needed, I can post derivation here.

Kinematic equations in original class are correct, only torques needs to be changed.

@bmagyar bmagyar added backport-iron This label should be used by maintaines only! Label triggers PR backport to ROS2 Iron. and removed backport-iron This label should be used by maintaines only! Label triggers PR backport to ROS2 Iron. labels Nov 7, 2024
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