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Robust H infinity control for networked systems with random packet losses.

Zidong Wang1, Fuwen Yang, Daniel W C Ho

  • 1Department of Information Systems and Computing, Brunel University, UB8 3PH Middlesex, UK. Zidong.Wang@brunel.ac.uk

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|August 19, 2007
PubMed
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This study addresses robust H infinity control for networked systems facing random packet losses. A novel observer-based controller ensures stability and disturbance rejection despite communication uncertainties.

Area of Science:

  • Control Systems Engineering
  • Networked Systems Analysis
  • Stochastic Systems Theory

Background:

  • Networked systems are susceptible to random communication packet losses due to limited bandwidth.
  • These losses can occur in both sensor-to-controller and controller-to-actuator communication channels.
  • Parameter uncertainties in system and output matrices further complicate control design.

Purpose of the Study:

  • To design a robust H infinity controller for networked systems with random packet losses.
  • To ensure exponential stability in the mean square sense despite communication uncertainties.
  • To achieve a specified H infinity disturbance-rejection level.

Main Methods:

  • Utilizing an observer-based feedback controller design.

Related Experiment Videos

  • Assuming random packet loss follows a Bernoulli random binary distribution.
  • Formulating controller synthesis conditions based on linear matrix inequalities (LMIs).

    • Main Results:

    • Demonstrated that the robust H infinity control problem is solvable.
    • Established conditions for controller design feasibility based on LMIs.
    • Successfully designed a controller that guarantees robust exponential stability and H infinity performance.

    Conclusions:

    • The proposed LMI-based approach effectively addresses robust H infinity control for networked systems with random packet losses.
    • The designed controller ensures system stability and disturbance attenuation under communication uncertainties.
    • Simulation results validate the practical applicability and effectiveness of the LMI method.