Analytical design of the fractional order controller and robustness verification

<div data-canvas-width="397.2227827050999">This paper proposes a fractional order controller (FOC) for the level control problem of coupled tank system, using desired time domain specifications. The system is used in chemical industries storage and mixing liquids. FOC designed analytically direct synthesis method. In method, Bode's ideal loop transfer function chosen as function. has advantages like robustness to gain variations, constant phase very high margin. Performance proposed compared with state art literature. Simulation results showed that least peak overshoot. robust performance also best. Robust stability verified, found be robustly stable.</div>