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Non-fragile Control for Interval Type-2 T-S Fuzzy Systems with Mixed Time-delays Under Round-robin Protocol

Sunjie Zhang* and Yi Yang
International Journal of Control, Automation, and Systems, vol. 20, no. 11, pp.3759-3770, 2022

Abstract : This paper is concerned with the non-fragile output feedback control problem for a class of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy systems with mixed time-delays. The data transmission, which occurs in the sensor-to-controller channel, is scheduled by the round-robin protocol. At every transmission instant, the sensors can access the communication network and transmit signal to the corresponding controller in a fixed circular order. With the aid of Lyapunov theory, sufficient conditions are obtained to ensure the desired performance. Furthermore, the non-fragile H∞ controller is designed for a class of IT2 T-S fuzzy systems. The combination of orthogonal decomposition and linear matrix inequalities is implemented to deal with the nonlinear coupling terms in the gain solving process. Finally, a numerical example is employed to justify the practicality and effectiveness of the proposed control scheme.

Keyword : Interval type-2 T-S fuzzy systems, mixed time-delays, non-fragile control, orthogonal decomposition, round-robin protocol.

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