This work deals with disturbance decoupling in discrete-time switching linear systems. The structural decoupling problem - i.e., the mere problem of making the output insensitive to undesired inputs - is discussed first. Then, a zero-input state-stability requirement is taken into account. Quadratic stability under arbitrary switching is considered. On the one hand, this leads to a convex procedure for the synthesis of the control law. On the other hand, this guarantees global uniform asymptotic stability of the compensated system, which, in turn, implies local input-to-state stability. The discrete-time switching linear systems considered are allowed to have feedthrough terms from the control input to the output, which requires suitable generalizations of some well-known geometric notions - like, e.g., that of robust controlled invariant subspace - to be introduced. A numerical example is worked out to illustrate the devised synthesis procedure.
A synthesis procedure for disturbance decoupling with local input-to-state stability in discrete-time switching linear systems / Zattoni, Elena. - ELETTRONICO. - 2015:(2015), pp. 7170875.1071-7170875.1076. (Intervento presentato al convegno 2015 American Control Conference, ACC 2015 tenutosi a Hilton Palmer House, Chicago, Illinois, USA nel July 1–3, 2015) [10.1109/ACC.2015.7170875].
A synthesis procedure for disturbance decoupling with local input-to-state stability in discrete-time switching linear systems
ZATTONI, ELENA
2015
Abstract
This work deals with disturbance decoupling in discrete-time switching linear systems. The structural decoupling problem - i.e., the mere problem of making the output insensitive to undesired inputs - is discussed first. Then, a zero-input state-stability requirement is taken into account. Quadratic stability under arbitrary switching is considered. On the one hand, this leads to a convex procedure for the synthesis of the control law. On the other hand, this guarantees global uniform asymptotic stability of the compensated system, which, in turn, implies local input-to-state stability. The discrete-time switching linear systems considered are allowed to have feedthrough terms from the control input to the output, which requires suitable generalizations of some well-known geometric notions - like, e.g., that of robust controlled invariant subspace - to be introduced. A numerical example is worked out to illustrate the devised synthesis procedure.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.