Simultaneous dynamic controller and anti-windup synthesis for systems with sector-bounded and slope restrictions

This paper presents new techniques for construction of dynamic output feedback controllers with a static anti-windup compensator for a class of saturated systems with sector-bounded and slope-restricted nonlinearities. To handle the slope restriction, a so-called differential compensator is incorporated into the traditional nonlinear controller. Considering its sector-bounded property and convex-hull representation, respectively, two LMI-based synthesis methods are proposed to address the problems of the estimates of the region of attraction (ROA) and ${{{\mathcal{L}}}_2}$ performance analysis of the closed-loop system. A numerical example illustrates the effectiveness of the proposed approaches.