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Zbl 1204.93086
Delavari, H.; Ranjbar, A.N.; Ghaderi, R.; Momani, S.
Fractional order control of a coupled tank. (English)
[J] Nonlinear Dyn. 61, No. 3, 383-397 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: A hybrid system that combines the advantages in terms of robustness of the fractional control and the Sliding Mode Control (SMC) will be proposed. The proposed fractional order SMC is applied to a level control in a nonlinear coupled tank, as a case study. To investigate the capability of the method, a Sliding Mode Controller is alternatively designed. Primarily a sliding surface based on linear compensation networks PD or PID is designed. The work is followed by designation of a fractional form of these networks, $PD \mu $ or $PI \lambda D \mu $ . Finally, the performance of the proposed technique is also investigated under disturbance and variation in parameters of system. The simulation results indicate the significance of the fractional order sliding mode controllers.

MSC 2000:: *93C95 Appl. of control theory
34A08
93B12 Variable structure systems
76B75 Flow control and optimization

Keywords: fractional controllers; nonlinear control; sliding mode control; coupled tanks

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