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Mixed H2/H infinity design for a decentralized discrete variable structure control with application to mobile robots.

Chih-Lyang Hwang1, Song-Yu Han

  • 1Department of Mechanical Engineering, Tatung University, Taipei, 10451 Taiwan, ROC. clhwang@ttu.edu.tw

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|September 1, 2005
PubMed
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A new mixed H2/H infinity decentralized discrete variable structure control (DDVSC) minimizes energy consumption and tracking errors. This control method effectively attenuates output disturbances for improved system stability and performance, validated through mobile robot experiments.

Area of Science:

  • Control Systems Engineering
  • Robotics
  • Applied Mathematics

Background:

  • Decentralized control systems face challenges from inter-subsystem interactions, modeling errors, and external loads.
  • Output disturbances can degrade system performance and lead to instability in complex systems.
  • Existing control methods may require complex solutions like Diophantine equations, limiting computational efficiency.

Purpose of the Study:

  • To develop a novel decentralized discrete variable structure control (DDVSC) using a mixed H2/H infinity design.
  • To minimize energy consumption and ensure bounded tracking errors.
  • To effectively attenuate output disturbances and enhance system stability and performance.

Main Methods:

  • A three-step design methodology combining H2 and H infinity control principles.

Related Experiment Videos

  • Minimizing the H2-norm for reduced control input energy and bounded tracking error.
  • Minimizing the H infinity-norm of weighted sensitivity to attenuate output disturbances.
  • Incorporating switching control for individual subsystems.
  • Verification of stability using the Lyapunov stability criterion.
  • Main Results:

    • The proposed mixed H2/H infinity DDVSC ensures smaller energy consumption with bounded tracking error.
    • Frequency-weighted functions effectively reduce disturbance effects on control input and reject output disturbances.
    • The method avoids solving Diophantine equations, offering computational advantages for low-order systems.
    • Simulations and experiments on a mobile robot demonstrated the method's effectiveness.

    Conclusions:

    • The developed mixed H2/H infinity DDVSC provides a robust and computationally efficient control strategy.
    • The approach successfully balances performance objectives, including energy efficiency and disturbance rejection.
    • The method's practical utility is confirmed through experimental validation on a mobile robot platform.