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
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.File in questo prodotto:
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