Abstract:

A synthesis method for global stability and performance of input constrained linear systems, which uses a linear outputfeedback controller and a static anti-windup compensator is investigated. Different from the traditional two-step anti-windup design procedure, the proposed method synthesizes all controller parameters simultaneously. Sufficient conditions for global stability and minimizing the induced L2 gain are formulated and solved as a linear matrix inequalities (LMIs) optimization problem, which also provides an opportunity to search for a better performance tradeoff between the linear controller and the anti-windup compensator.
The well-posedness of the close-loop system is also guaranteed. Simulation results show the effectiveness of the proposed method.

Key words: actuator saturation, anti-windup, simultaneous synthesis, L2 synthesis, linear matrix inequalities (LMIs)