TY - JOUR

T1 - Control Design for a Perturbed System with an Ambiguous Nonlinearity

AU - Yevstafyeva, V.V.

PY - 2023

Y1 - 2023

N2 - —The object of this study is an n-dimensional system of ordinary differential equationswith an ambiguous relay nonlinearity under a continuous periodic perturbation. We considercontinuous periodic solutions of the system with the state-space trajectory consisting of twoparts connected at relay switching points. We develop an algorithm for selecting the nonlinearityparameters under which there is a unique asymptotically orbitally stable periodic solution ofthe system with given oscillation properties, including a given period and two switching pointsper period.

AB - —The object of this study is an n-dimensional system of ordinary differential equationswith an ambiguous relay nonlinearity under a continuous periodic perturbation. We considercontinuous periodic solutions of the system with the state-space trajectory consisting of twoparts connected at relay switching points. We develop an algorithm for selecting the nonlinearityparameters under which there is a unique asymptotically orbitally stable periodic solution ofthe system with given oscillation properties, including a given period and two switching pointsper period.

KW - automatic control systems

KW - canonical transformations

KW - control design

KW - relay nonlinearity

KW - forced periodic oscillations

KW - switching points

KW - stable solutions

M3 - Article

VL - 84

SP - 254

EP - 269

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 3

ER -