Asynchronous Output-Feedback Control of Networked Nonlinear Systems With Multiple Packet Dropouts: T-S Fuzzy Affine Model-Based Approach

This paper investigates the problem of robust output-feedback control for a class of networked nonlinear systems with multiple packet dropouts. The nonlinear plant is represented by Takagi-Sugeno (T-S) fuzzy affine dynamic models with norm-bounded uncertainties, and stochastic variables that satisfy...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2011-12, Vol.19 (6), p.1014-1030
Main Authors: Qiu, Jianbin, Feng, Gang, Gao, Huijun
Format: Article
Language:English
Subjects:
Control systems
Controllers
Dropouts
Dynamical systems
Fuzzy
Fuzzy logic
Fuzzy set theory
Lyapunov methods
Mathematical models
Networked nonlinear systems
Nonlinear dynamics
Nonlinear systems
Output feedback
piecewise Lyapunov functions
Robustness
Studies
Takagi-Sugeno (T-S) fuzzy affine systems
Takagi-Sugeno model
unreliable communication links
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Summary:This paper investigates the problem of robust output-feedback control for a class of networked nonlinear systems with multiple packet dropouts. The nonlinear plant is represented by Takagi-Sugeno (T-S) fuzzy affine dynamic models with norm-bounded uncertainties, and stochastic variables that satisfy the Bernoulli random binary distribution are adopted to characterize the data-missing phenomenon. The objective is to design an admissible output-feedback controller that guarantees the stochastic stability of the resulting closed-loop system with a prescribed disturbance attenuation level. It is assumed that the plant premise variables, which are often the state variables or their functions, are not measurable so that the controller implementation with state-space partition may not be synchronous with the state trajectories of the plant. Based on a piecewise quadratic Lyapunov function combined with an S-procedure and some matrix inequality convexifying techniques, two different approaches to robust output-feedback controller design are developed for the underlying T-S fuzzy affine systems with unreliable communication links. The solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2011.2159011