Research output: Contribution to journal › Article › peer-review
Control Design for a Perturbed System with an Ambiguous Nonlinearity. / Yevstafyeva, V.V.
In: Automation and Remote Control, Vol. 84, No. 3, 2023, p. 254-269.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 103948304