Design of time-varying controllers for discrete-time linear systems with input saturation

Citation:
Gomes da Silva Jr., JM, Lescher F, Eckhard D.  2007.  Design of time-varying controllers for discrete-time linear systems with input saturation. IET Control Theory Applications. 1:155–162., Number 1

Abstract:

A method for computing time-varying dynamic output feedback controllers for discrete-time linear systems subject to input saturation is proposed. The method is based on a locally valid polytopic representation of the saturation term. From this representation, it is shown that, at each sampling time, the matrices of the stabilising time-varying controller can be computed from the current system output and from constant matrices obtained as a solution of some matrix inequalities. Linear matrix inequality-based optimisation problems are therefore proposed in order to compute the controller aiming at the maximisation of the basin attraction of the closed-loop system, as well as aiming at ensuring a level of {L2} disturbance tolerance and rejection.

Notes:

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