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Fuzzy dynamic output-feedback control of non-linear networked discrete-time system with missing measurements

Journal Article


Abstract


  • This article studies the problem of H∞ dynamic output-feedback control of non-linear networked discrete-time systems with data packet dropouts. Specifically, the data missing happens randomly from the sensor to the controller and the controller to the actuator. A sequence of independent variables obeying the Bernoulli random binary distribution is introduced to account for the measurement missing. The Takagi-Sugeno fuzzy model is used to describe the non-linear plant. In addition, the strategy of parallel distributed compensation is adopted to design the fuzzy dynamic output-feedback controller. Here, attention is focused on obtaining the sufficient conditions to guarantee the closed-loop system to be stochastically stable as well as the prescribed H∞ performance. An approach based on fuzzy Lyapunov function is developed to solve it. To tackle the non-convex problem, the cone-complementarity linearisation procedure is adopted. Finally, a numerical example is employed to show the usefulness of the proposed result.

Publication Date


  • 2015

Citation


  • Li, H., Wu, C., & Feng, Z. (2015). Fuzzy dynamic output-feedback control of non-linear networked discrete-time system with missing measurements. IET Control Theory and Applications, 9(3), 327-335. doi:10.1049/iet-cta.2014.0410

Scopus Eid


  • 2-s2.0-84923361407

Web Of Science Accession Number


Start Page


  • 327

End Page


  • 335

Volume


  • 9

Issue


  • 3

Abstract


  • This article studies the problem of H∞ dynamic output-feedback control of non-linear networked discrete-time systems with data packet dropouts. Specifically, the data missing happens randomly from the sensor to the controller and the controller to the actuator. A sequence of independent variables obeying the Bernoulli random binary distribution is introduced to account for the measurement missing. The Takagi-Sugeno fuzzy model is used to describe the non-linear plant. In addition, the strategy of parallel distributed compensation is adopted to design the fuzzy dynamic output-feedback controller. Here, attention is focused on obtaining the sufficient conditions to guarantee the closed-loop system to be stochastically stable as well as the prescribed H∞ performance. An approach based on fuzzy Lyapunov function is developed to solve it. To tackle the non-convex problem, the cone-complementarity linearisation procedure is adopted. Finally, a numerical example is employed to show the usefulness of the proposed result.

Publication Date


  • 2015

Citation


  • Li, H., Wu, C., & Feng, Z. (2015). Fuzzy dynamic output-feedback control of non-linear networked discrete-time system with missing measurements. IET Control Theory and Applications, 9(3), 327-335. doi:10.1049/iet-cta.2014.0410

Scopus Eid


  • 2-s2.0-84923361407

Web Of Science Accession Number


Start Page


  • 327

End Page


  • 335

Volume


  • 9

Issue


  • 3