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In the paper, a design method of a static anti-windup compensator for systems with input saturations is proposed. First, an anti-windup controller is presented for system with cut-off saturations, and, secondly, the design problem of the compensator is presented to be a non-convex optimization problem easily solved using bilinear matrix inequalities formulation. This approach guarantees stability of the closed-loop system against saturation nonlinearities and optimizes the robust control performance while the saturation is active.

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Authors and Affiliations

Dariusz Horla

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Poznan University of Technology, Faculty of Automatic Control, Robotics and Electrical Engineering, ul. Piotrowo 3a, 60-965 Poznan, Poland

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

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

Archives of Control Sciences | 2022 | vol. 32 | No 2 | 383-408 | DOI: 10.24425/acs.2022.141717

Keywords fuzzy state feedback LMIs Van de Vusse reaction double integrator anti-windup

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Abstract

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.

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Authors and Affiliations

C.A. Márquez-Vera

M.A. Màrquez-Vera

Z. Yakoub

A. Ma’arif

A.J. Castro-Montoya

N.R. Cázarez-Castro

Universidad Veracruzana, Prolongación Venustiano Carranza S/N, Col. Revolución, Poza Rica 93390, Veracruz, Mexico
Polytechnic Universityof Pachuca, C. Pachuca-Cd. Sahagún Km 20, Ex-Hacienda de Santa Bárbara, Zempoala 43830, Hgo., Mexico
University of Gabès, National Engineering Schoo lof Gabès, Rue Omar Ibn El Khattab, Zrig Eddakhlania, Gabès 6029, Tunisia
Universitas Ahmad Dahlan, Jl. Kapas No. 9, Semaki, Kec. Umbulharjo, Yogyakarta 55166, Indonesia
Universidad Michoacana de San Nicolás de Hidalgo, Edif. M, Ciudad Universitaria, Morelia 58030, Michoacán, Mexico
Instituto Tecnológico de Tijuana, Calz. Tecnológico S/N, Fracc. Tomás Aquino, Tijuana 22414, BC, Mexico

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Fractional variable order anti-windup control strategy

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Static anti-windup compensator based on BMI optimisation for discrete-time systems with cut-off constraints

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

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