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

Hongyi Li; Chengwei Wu; Zhiguang Feng

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

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Author(s): Hongyi Li ¹ ; Chengwei Wu ² ; Zhiguang Feng ²
- Affiliations: 1: College of Engineering, Bohai University, Jinzhou 121013, Liaoning, People's Republic of China;
  2: College of Information Science and Technology, Bohai University, Jinzhou 121013, Liaoning, People's Republic of China
Source: Volume 9, Issue 3, 05 February 2015, p. 327 – 335
DOI: 10.1049/iet-cta.2014.0410 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 15/04/2014, Accepted 15/07/2014, Revised 03/06/2014, Published 06/01/2015

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.

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

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