Abstract

RIOS-BOLIVAR, Addison. Controller synthesis with compensation AW and performance in H₂-H_∞. Rev. Téc. Ing. Univ. Zulia [online]. 2007, vol.30, n.3, pp.263-272. ISSN 0254-0770.

Considering the time invariant linear systems (LTI), this contribution studies the design problem of robust Anti-Windup compensation (AW). The robust performance is analyzed on two function transfers of closed loop using the H₂-H_∞ norms. One transfer function is defined of the controlled output respect to the perturbation, in order to design a dynamical controller, minimizing the H₂ norm. Another one transfer function from the actuator output to the controller output is used in order to evaluate the performance under saturation. The performance index considers the effect of the saturation on the controller output, and this index allows to design the AW compensation gain, minimizing the H_∞ norm. The dynamical controller and the AW compensation gain are obtained by numerical solution of linear matrix inequalities (LMI), which allow to characterize the H₂-H_∞ norms.

Keywords : Anti-windup compensation; optimal control; bounded control; linear matrix inequalities (LMI); Saturation of actuators.