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Fuzzy state feedback with double integrator and anti-windup for the Van de Vusse reaction

Márquez-Vera C. A., Màrquez-Vera M. A., Yakoub Z., Ma’arif A., Castro-Montoya A. J., Cázarez-Castro N. R.

Archives of Control Sciences

2022

Vol. 32, No. 2

383--408

Chemical processes use to be non-minimum phase systems. Thereby, they are a challenge for control applications. In this paper, fuzzy state feedback is applied in the Van de Vusse reaction that has an inverse response. The control design has an integrator to enhance the control performance by eliminating the steady-state error when a step reference is applied. An anti-windup action is used to reduce the undershoot in the system response. In practice, it is not possible to have always access to all the state variables. Thus, a fuzzy state observer is implemented via LMIs. Frequently, the papers that show similar applications present some comments about disturbance rejection. To eliminate the steady-state error when a ramp reference is used, in this work, a second integrator is aggregated. Now, the anti-windup also reduces the overshoot generated due to the usage of two integrators in the final application.