This brief addresses the robust strict-positive realness problem for families of discrete-time polynomials where the uncertainty is described via a l2 ball in coefficient space. It is shown constructively that under the only assumption that all the polynomials of the family are Schur, the sought filter can be provided in closed form as a polynomial or rational function with an a-priori bounded degree. The proposed synthesis procedure is based on the solution of a simple polynomial factorization problem.
|Titolo:||Synthesis of robust strictly positive real discrete-time systems with l_2 parametric perturbations|
|Autori interni:||BIANCHINI, GIANNI|
|Rivista:||IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS|
|Appare nelle tipologie:||1.1 Articolo in rivista|