Abstract:
The object of this study is an n-dimensional system of ordinary differential equations with an ambiguous relay nonlinearity under a continuous periodic perturbation. We consider continuous periodic solutions of the system with the state-space trajectory consisting of two parts connected at relay switching points. We develop an algorithm for selecting the nonlinearity parameters under which there is a unique asymptotically orbitally stable periodic solution of the system with given oscillation properties, including a given period and two switching points per period.
Keywords:automatic control systems, canonical transformations, control design, relay nonlinearity, forced periodic oscillations, switching points, stable solutions.
Presented by the member of Editorial Board:A. I. Malikov
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