Output-Feedback Control for T-S Fuzzy Delta Operator Systems With Time-Varying Delays via an Input-Output Approach

In this paper, the problem of induced L 2 disturbance attenuation control is investigated for discrete-time Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delays and disturbance input via an input-output approach. A model transformation method is utilized to approximate the time-...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2015-08, Vol.23 (4), p.1100-1112
Main Authors: Li, Hongyi, Gao, Yabin, Shi, Peng, Zhao, Xudong
Format: Article
Language:English
Subjects:
Asymptotic properties
Attenuation
Closed loop systems
Control systems
Delay
Delays
Disturbances
Dynamical systems
Dynamics
Educational institutions
Fuzzy
Linear operators
Stability analysis
Symmetric matrices
Time-varying systems
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Summary:In this paper, the problem of induced L 2 disturbance attenuation control is investigated for discrete-time Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delays and disturbance input via an input-output approach. A model transformation method is utilized to approximate the time-varying delay in T-S fuzzy delta operator systems. By applying the scaled small gain (SSG) theorem and Lyapunov-Krasovskii functional approach, a sufficient condition is established to guarantee that the closed-loop system is asymptotically stable and has an induced L 2 disturbance attenuation performance. The existence condition of the dynamic output-feedback controller can be solved via convex optimization problems. Finally, simulation results are given to demonstrate the feasibility and effectiveness of the proposed method.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2014.2346237