An event-based adaptation of the relay feedback experiment for frequency response identification of stable processes

An event-based modification of the classical relay feedback experiment without the inclusion of additional elements (integrator, time delay, . . . ) for identification of the spectrum of stable processes between zero and the phase cross-over frequency is presented. By inserting an event-based sample...

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Detalles Bibliográficos
Autores: Sánchez Moreno, José, Torre Cubillo, Luis de la, Chacón Sombría, Jesús, Dormido Canto, Sebastián
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:español
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/22203
Acceso en línea:https://hdl.handle.net/20.500.14468/22203
Access Level:acceso abierto
Palabra clave:12 Matemáticas::1203 Ciencia de los ordenadores ::1203.17 Informática
frequency response
relay feedback
identification
event-based sampling
Descripción
Sumario:An event-based modification of the classical relay feedback experiment without the inclusion of additional elements (integrator, time delay, . . . ) for identification of the spectrum of stable processes between zero and the phase cross-over frequency is presented. By inserting an event-based sampler in the control loop, the natural behaviour of a classical relay is simulated and the system is forced to work in two modes. The event-based sampler activates the first mode by sending control actions to the process every time the error signal crosses zero; this mode is to discover the approximated value of the cross-over frequency ω180◦ . During the second mode, the event-based sampler sends samples to the process simulating that the error signal crosses zero at ω180◦ /N where N is the number of points to identify in the range 0 ≤ ω ≤ ω180◦ . One advantage of this procedure is that the logic used in an already existing relay feedback experiment to fit a transfer function model or tune a controller could be maintained just replacing the relay block by the event-based sampler block presented in the paper. Simulations and experiments with different processes and in presence of noise demonstrate the effectivity of the procedure.