Robust AWC design for constrained cascaded linear control system with parametric uncertainties

Abstract

In this paper robust anti-windup compensator (AWC) design methodology is proposed for linear cascaded systems with parametric perturbation, actuator saturation, and external perturbations. An innovative robust AWC architecture for uncertain linear cascaded systems is presented to compensate the undesirable saturation consequences. By using $$L_2$$ gain reduction linear matrix inequality (LMI)-based conditions are derived for calculating the dynamic AWC gains. By means of a Lyapunov stability tool, global sector condition, local sector condition, decoupled architecture, $$L_2$$ gain reduction, a region of stability, LMI-based dynamic AWC design methodology is established for linear cascaded systems with parametric uncertainties, actuator saturation, and external perturbations. The proposed results guaranteed the global and local exponential and $$L_2$$ exponential stability of the suggested dynamic AWC technique. Along with attaining the windup compensation, our goal is to attain the robustness of the AWC with regard to the system additive uncertainties and exogenous disturbances. The proposed results are employed to mitigate the saturation effects in cascaded temperature control systems and uncoupled ball-and-beam system.