On the Tracking Problem for Linear Systems subject to Control Saturation

Citation:
Flores, JV, Eckhard D, Gomes da Silva Jr. JM.  2008.  On the Tracking Problem for Linear Systems subject to Control Saturation. 17th {IFAC} World congress. :14168–14173., Seul: IFAC

Abstract:

This paper addresses the problem of tracking constant references for linear systems subject to control saturation. Considering an unitary output feedback loop, containing an integral action, conditions in LMI form are proposed to compute a state feedback and an integrator anti-windup gain. These conditions ensure that the trajectories of the closed-loop system are bounded in an invariant ellipsoidal set, provided that the initial conditions are taken in this set and the references and the disturbances belong to a certain admissible set. Based on these conditions, optimization problems aiming at the maximization of the invariant set of admissible states and/or the maximization of the set of admissible references/disturbances are proposed.

Notes:

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