Static anti-windup for systems with sector-bounded nonlinearities

This paper considers the problem of static anti-windup synthesis for a class of systems featuring both saturated control action and additional sector-bounded nonlinearities. Anti-windup algorithms are developed which ensure, in the first instance local stability and performance, and are then stated for the global case when this is possible. The static anti-windup gains are computed from the solutions of sets of linear matrix inequalities, making the synthesis procedure numerically tractable.