Stable linear time-invariant systems can be made passive by a feedforward action. In this article, an analytical approach to obtain the matrix which allows to enforce passivity in the system is proposed. This matrix depends only on one parameter, namely . The introduced method is based on the calculation of the characteristic polynomial of the Hamiltonian matrix associated to the Positive Real problem. This polynomial is then used to derive a finite set of values of the parameter , in which the value assuring passivity enforcement with minimum dissipation can be selected. Numerical examples are reported.

An analytical approach to one-parameter MIMO systemspassivity enforcement

XIBILIA, Maria Gabriella
2012

Abstract

Stable linear time-invariant systems can be made passive by a feedforward action. In this article, an analytical approach to obtain the matrix which allows to enforce passivity in the system is proposed. This matrix depends only on one parameter, namely . The introduced method is based on the calculation of the characteristic polynomial of the Hamiltonian matrix associated to the Positive Real problem. This polynomial is then used to derive a finite set of values of the parameter , in which the value assuring passivity enforcement with minimum dissipation can be selected. Numerical examples are reported.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2325821
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