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Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay

Author

Listed:
  • Hamzaoui Fatma

    (University of Monastir, Tunisia & National Engineering School of Monastir, Tunisia)

  • Khadhraoui Malek

    (National Engineering School of Monastir, Tunisia)

  • Messaoud Hassani

    (National Engineering School of Monastir, Tunisia)

Abstract

This paper deals with a new method for the design of a functional filter for linear singular systems with bounded disturbance and variable time delay in the state and the known input vectors. Moreover, a disturbance unknown inputs is considered. The main objective of such design is the estimation of functional state vector, and a part of the disturbance unknown inputs for fault detection. The proposed design is based on Lyapunov-Krasovskii stability theory and, in order to minimize the disturbance effect, the designed filter satisfies a H_∞ criterion. Numerical simulation is used to illustrate the proposed design and the results were successful.

Suggested Citation

  • Hamzaoui Fatma & Khadhraoui Malek & Messaoud Hassani, 2020. "Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 9(4), pages 24-54, October.
    • Handle: RePEc:igg:jsda00:v:9:y:2020:i:4:p:24-54
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