T-S Fuzzy Control of Uncertain Fractional-Order Systems with Time Delay

Yilin Hao, Xiulan Zhang and Shenggang Li

Journal of Mathematics, 2021, vol. 2021, 1-9

Abstract: In this article, the adaptive control of uncertain fractional-order time-delay systems (FOTDSs) with external disturbances is discussed. A Takagi-Sugenu (T-S) fuzzy model with if-then rules is adopted to characterize the dynamic equation of the FOTDS. Besides, a fuzzy adaptive method is proposed to stabilize the model. By utilizing the Lyapunov functions, a robust controller is constructed to stabilize the FOTDS. Due to the uncertainty of system parameters, some fractional-order adaptation laws are designed to update these parameters. At the same time, some if-then rules with linear structure based on the fuzzy T-S adaption concept are established. The designed method not only guarantees that the state of closed-loop system asymptotically converges to origin but also keeps the signal in the FOTDS bounded. Finally, the applicability of the control method is proved by simulation examples.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6636882

DOI: 10.1155/2021/6636882

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