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Flexible Joint

Flexible Joint

Design a control system to manipulate the position of a spring driven cart.


A solid aluminum cart is driven by a rack and pinion mechanism using a 6V DC motor, ensuring consistent and continuous traction. The cart slides along a stainless steel shaft using linear bearings. The cart position is measured using a sensor coupled to the rack via an additional pinion. The powered cart (input cart) is coupled to a non-powered cart (output cart) using a compression spring. Both cart positions are measured using encoders.

The ability to vary parameters is also available should you wish to change the cart mass and or spring length. The desired outcome is to design a controller such that the output cart tracks a command with minimum overshoot and maximum speed. The system is supplied with a state feedback controller. You may design any other controller you wish.


Undergraduate – second course

Linear Product Range

  • flex-joint

    Flexible Joint

  • flexJoint-invertPendulum

    Flexible Joint with Inverted Pendulum

  • inverted-pendulum

    Inverted Pendulum

  • Linear--dlb-Inverted

    Linear Double Inverted

  • Linear Flexible Inverted Pendulum

  • flexJoint-seesaw

    Linear Flexible Joint on Seesaw

  • seesaw


  • seesaw-pendulum

    Seesaw Pendulum

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iMath Asia
i-Math was incorporated in 2001 as an organization dedicated to delivering innovative high precision mathematical and control software solutions to the Educational, R&D, Engineering and Manufacturing industries in the ASEAN Region.

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