ℒ2-Stabilization of anti-windup compensators subject to actuator saturation and disturbances

This paper addresses the regional stability and performance of anti-windup compensators for linear control systems in the presence of external disturbances. Based on the dynamic controller and compensator structure analysis for the saturated system, the non-convex stabilization design problems are converted to LMIs conditions by congruence transformation. Then, the stability condition is reinforced by using a new approach two-step stabilizing via algebraic constraints involved in the unbiased erroneous inverse compensation. The dynamic output controller and anti-windup gains achieve at the desired level of ℒ
2
-norm performance by set feasible solutions. A numerical example demonstrates the effectiveness of the proposed methodology.