Discrete-time Anti-windup: Part 2 - Extension to the Sampled-data Case

Abstract The formulation of a discrete-time anti-windup scheme for linear systems with constrained control signals is extended to the sampled-data case. Thus, the control of a continuous-time linear plant via a discrete linear nominal controller and a discrete anti-windup compensator is considered. Stability of the antiwindup compensator is equivalent to the known discrete problem while a hybrid induced / norm is considered for antiwindup performance. Linear sampled-data lifting techniques are used to reduce the hybrid problem to an optimization problem in the discrete-time domain. A flight control example shows the effectiveness of the discrete and the sampled-data technique.