TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/118759/PDF/22_01676_Bpast.No.69(1)_25.02.21_K1_OK_G.pdf L2 - http://www.czasopisma.pan.pl/Content/118759 PY - 2021 IS - No. 1 EP - e135837 DO - 10.24425/bpasts.2021.135837 KW - anti-windup compensation KW - bilinear matrix inequalities KW - cut-off constraint A1 - Horla, Dariusz VL - 69 DA - 10.02.21 T1 - Static anti-windup compensator based on BMI optimisation for discrete-time systems with cut-off constraints SP - e135837 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/118759 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -