Multivariable anti-windup controller synthesis incorporating multiple convex constraints

We study the problem of multivariable anti-windup controller synthesis that incorporates trade-offs between unconstrained linear performance and constrained antiwindup performance. In our previous work [13], we presented a framework for simultaneous design of a linear output feedback controller and a static anti-windup compensator using Linear Matrix Inequalities (LMIs). This framework deviated from the conventional two step paradigm of anti-windup by proposing a one-step synthesis while still maintaining the anti-windup structure. However, the work in [13] did not provide conclusive demonstration of the efficacy of this formulation through realistic practical examples. In this paper, we further study the framework in [13] and explicitly demonstrate its capability in providing effective constrained anti-windup controller performance for two benchmark problems, viz. a vibration isolation table and a multivariable model for the longitudinal dynamics of an F8 aircraft.