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Stabilization of the Rotational Inverted Pendulum Using Mixed H2/H ∞  PID Controller

  • Vo Hoang Duy
  • Dong Si Thien Chau
  • Vo Huu Hau
  • Phan Thai Hoa
  • Tran Trong Dao
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 282)

Abstract

This paper proposes a mixed H 2 /H  ∞  optimal PID controller with a genetic algorithm based on the dynamic model of a Rotational Inverted Pendulum (RIP) and applies it for balancing control. In the dynamic model of the rotational inverted pendulum with perturbation, the proposed controller guarantees robust and optimal performance to the stabilization of the rotational inverted pendulum. A genetic algorithm was used to obtain parameters for the PID controller that satisfies the mixed H 2 /H  ∞  constraint. To implement the proposed controller, a control system based on microcontroller dsPIC30F4011 was developed. Experimental results are shown to prove the performance of the proposed controller when changing the weight and shape of pendulum.

Keywords

Inverted pendulum PID controller Robust control Optimal control 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Vo Hoang Duy
    • 1
  • Dong Si Thien Chau
    • 1
  • Vo Huu Hau
    • 1
  • Phan Thai Hoa
    • 1
  • Tran Trong Dao
    • 1
  1. 1.Faculty of Electrical and Electronics EngineeringTon Duc Thang UniversityHo Chi Minh CityVietnam

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