The paper considers the problem of the existence and of the uncertainty of limit cycles in nonlinear feedback systems. An approximate solution obtained via the describing function method is assumed to be known for a class of multiloop polynomial systems. Then, sufficient conditions are derived to ensure in the neighborhood the existence of a true periodic solution and to evaluate its corresponding bounds. Numerical and graphical techniques are given in order to make simple the application of these results. In particular, for a special class of single loop systems a procedure called the cone criterion is presented. Finally, a number of illustrative examples are developed.

Transactions Briefs On Limit Cycles in Feedback Polynomial Systems / Genesio, R.; Tesi, A.. - In: IEEE TRANSACTIONS ON CIRCUIT AND SYSTEMS. - ISSN 0098-4094. - STAMPA. - 35:(1988), pp. 1523-1528. [10.1109/31.9915]

Transactions Briefs On Limit Cycles in Feedback Polynomial Systems

GENESIO, ROBERTO;TESI, ALBERTO
1988

Abstract

The paper considers the problem of the existence and of the uncertainty of limit cycles in nonlinear feedback systems. An approximate solution obtained via the describing function method is assumed to be known for a class of multiloop polynomial systems. Then, sufficient conditions are derived to ensure in the neighborhood the existence of a true periodic solution and to evaluate its corresponding bounds. Numerical and graphical techniques are given in order to make simple the application of these results. In particular, for a special class of single loop systems a procedure called the cone criterion is presented. Finally, a number of illustrative examples are developed.
1988
35
1523
1528
Genesio, R.; Tesi, A.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1050095
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