International Journal of Process Systems Engineering
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International Journal of Process Systems Engineering (1 paper in press)
Fuzzy output feedback H-infinity tracking control for MIMO Nonlinear Three-Tank System by Sana BZIOUI, Rafik Channa Abstract: In this work, a multi input multi output nonlinear tank system used in bioprocess and water treatment industries is considered. To control liquid level in tank, taking into account external disturbances, an output feedback H-infinity controller is implemented. This approach is easy to apply since it only requires available signals from the system to be controlled. Because in practice, direct measurements of all state variables of an industrial system are rarely available and only their outputs are accessible for the measure. On another side, in industry, the state observers are not always applicable for technical or economic reasons. The proposed approach is based on Takagi-Sugeno (TS) model approach, which consists to transform the nonlinear model of the tank system into several linear sub models. The design procedure is based on an output parallel distributed compensation (OPDC) controller with an H-infinity criterion. The design conditions are formulated as a Linear Matrix Inequality (LMI) optimization problem. To maintain the liquid level at the desired set point in each tank, an integral action is introduced. A three tank system is presented to validate the effectiveness of the proposed approach. Keywords: Takagi-Sugeno; OPDC; LMI; robust control; H-infinity; tracking control; tank system; integral action; fuzzy control.