Dynamic output feedback compensation for linear systems with independent amplitude and rate saturations

Local stabilization of linear systems under amplitude and rate saturating actuators

“…The model of rate-limiting we consider, is known as the classical rate limiter and can be viewed as a position-feedback-type model with speed limitation [9]. As pointed in [9], for (i) !…”

“…On the other hand, we can identify some works dealing with local stabilizing solutions (see, among others, [9]- [12]). In [9], a method for designing dynamic output controllers based on a position type feedback modeling of the rate saturation and the use of the positive real lemma is proposed.…”

“…As we will see, over performance constraints, the use of saturating control laws can ensure larger regions of stability. As in [9], our approach is based on the modeling of the actuator by a first-order system subject to input and state saturation (position-feedback-type model with speed limitation). Differently, however, from [9] and [11], the objective in the synthesis is explicitely to enlarge the region of attraction.…”

“…As in [9], our approach is based on the modeling of the actuator by a first-order system subject to input and state saturation (position-feedback-type model with speed limitation). Differently, however, from [9] and [11], the objective in the synthesis is explicitely to enlarge the region of attraction. Moreover, the stabilization conditions are based on a mixed polytopic/norm-bounded differential inclusion for modeling the behavior of the closed-loop nonlinear system.…”

“…In [9], a method for designing dynamic output controllers based on a position type feedback modeling of the rate saturation and the use of the positive real lemma is proposed. The main objective pursued in that paper is the minimization of a linear quadratic Gaussian criterion.…”