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.
Bianchini, G. (2002). Synthesis of robust strictly positive real discrete-time systems with l_2 parametric perturbations. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS, 49(8), 1221-1225 [10.1109/TCSI.2002.801271].
Synthesis of robust strictly positive real discrete-time systems with l_2 parametric perturbations
BIANCHINI, GIANNI
2002-01-01
Abstract
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/411114