An anti-windup design for linear parameter varation systems with input saturation

It is well known that actuator saturation can introduce severe performance degradation and possible instability in control systems. Using results from the area of linear matrix inequalities, this work extends the antiwindup compensator design method used in LTI systems to a class of linear parameter varation systems. This method is shown to be less conservative than the existing conditions which are based on the circle criterion or the vertex analysis. Moreover, the condition can be expressed as linear matrix inequalities (LMIs) in terms of all the varying parameters and hence can easily be used for LPV system synthesis. The effectiveness of the extended anti-windup control scheme will be demonstrated using a flight control example.