PID Control Law for Trajectory Tracking Error Using Time-Delay Adaptive Neural Networks for Chaos Synchronization

This paper presents an application of Time- Delay adaptive neural networks based on a dynamic neural network for trajectory tracking of unknown nonlin- ear plants. Our approach is based on two main method- ologies: the first one employs Time-Delay neural net- works and Lyapunov-Krasovskii functions...

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Detalles Bibliográficos
Autores: Joel Perez P., Jose P. Perez
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:México
Institución:Universidad Autónoma de Nuevo León
Repositorio:Redalyc-UANL
OAI Identifier:oai:redalyc.org:61539886015
Acceso en línea:https://www.redalyc.org/articulo.oa?id=61539886015
Access Level:acceso abierto
Palabra clave:Computación
time
Lyapunov
PID control
Descripción
Sumario:This paper presents an application of Time- Delay adaptive neural networks based on a dynamic neural network for trajectory tracking of unknown nonlin- ear plants. Our approach is based on two main method- ologies: the first one employs Time-Delay neural net- works and Lyapunov-Krasovskii functions and the sec- ond one is Proportional-Integral-Derivative (PID) control for nonlinear systems. The proposed controller structure is composed of a neural identifier and a control law defined by using the PID approach. The new control scheme is applied via simulations to Chaos Synchroniza- tion. Experimental results have shown the usefulness of the proposed approach for Chaos Production. To verify the analytical results, an example of a dynamical network is simulated and a theorem is proposed to ensure the tracking of the nonlinear system.