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Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement

Author

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  • Liu Yaqiang
  • Ren Zhigang
  • Jin Zengwang
  • Xue-bo Jin

Abstract

In this paper, a robust H∞ control problem of a class of linear parabolic distributed parameter systems (DPSs) with pointwise/piecewise control and pointwise/piecewise measurement has been investigated via the robust H∞ feedback compensator design approach. A unified Lyapunov direct approach is proposed in consideration of the pointwise/piecewise control and point/piecewise measurement based on the distributions of the actuators and sensors. A new type of Luenberger observer is developed on the continuous interval of space domain to track the state of the system, and an H∞ performance constraint with prescribed H∞ attenuation levels is proposed in this paper. By utilizing Lyapunov technique, mathematical inequalities, and integration theory, a sufficient condition based on LMI for the exponential stability of the corresponding closed-loop coupled system under an H∞ performance constraint is presented. Finally, the effectiveness of the proposed design method is verified by numerical simulation results.

Suggested Citation

  • Liu Yaqiang & Ren Zhigang & Jin Zengwang & Xue-bo Jin, 2021. "Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement," Complexity, Hindawi, vol. 2021, pages 1-14, April.
    • Handle: RePEc:hin:complx:6660857
    DOI: 10.1155/2021/6660857
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