This paper provides a parameterization of all output feedback periodic controllers providing closed loop invariant polynomials varying over some assigned polytopes for linear discrete-time periodic plants. Using the notion of time invariant system associated to a periodic system the parameterization is provided in terms of the general solution of a suitably defined matrix diophantine equation. (C) 1999 Elsevier Science Ltd. All rights reserved.
Assigning closed-loop invariant polynomials over polytopes for linear periodic systems / Ietto, Leopoldo; Longhi, Sauro. - In: AUTOMATICA. - ISSN 0005-1098. - 29:(1999), pp. 49-58. [10.1016/S0005-1098(98)00122-8]
Assigning closed-loop invariant polynomials over polytopes for linear periodic systems
IETTO, LEOPOLDO;LONGHI, SAURO
1999-01-01
Abstract
This paper provides a parameterization of all output feedback periodic controllers providing closed loop invariant polynomials varying over some assigned polytopes for linear discrete-time periodic plants. Using the notion of time invariant system associated to a periodic system the parameterization is provided in terms of the general solution of a suitably defined matrix diophantine equation. (C) 1999 Elsevier Science Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
