Efficient fuzzy control of a rotary inverted pendulum based on LQR mapping

J. Krishen, V. M. Becerra

    Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution


    This paper develops fuzzy methods for control of the rotary inverted pendulum, an underactuated mechanical system. Two control laws are presented, one for swing up and another for the stabilization. The pendulum is swung up from the vertical down stable position to the upward unstable position in a controlled trajectory. The rules for the swing up are heuristically written such that each swing results in greater energy build up. The stabilization is achieved by mapping a stabilizing LQR control law to two fuzzy inference engines, which reduces the computational load compared with using a single fuzzy inference engine. The robustness of the balancing control is tested by attaching a bottle of water at the tip of the pendulum.
    Original languageEnglish
    Title of host publication2006 IEEE Conference on Computer-aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control
    Place of PublicationPiscataway
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    ISBN (Electronic)0780397975
    ISBN (Print)0780397975
    Publication statusPublished - 2006


    • fuzzy control, mechanical systems/robotics, real-time systems


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