The global output synchronization problem for heterogeneous nonlinear systems having relative degree 2 or higher is studied. The proposed approach consists in two steps. First, a partial projection of individual subsystems into the Brockett oscillators is performed using a sliding-mode control. Second, the network of these oscillators is synchronized using the global synchronization results of a particular second order nonlinear oscillator model from Ahmed et al. (2019). Our approach is based on output feedback and uses a higher order sliding mode observer to estimate the states and perturbations of the synchronized nonlinear systems. Along with numerical simulations, the performance of the proposed synchronization scheme is experimentally verified on a network of Van der Pol oscillators.
Bibliographical noteThis is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control, on 07/11/2019, available online: http://www.tandfonline.com/10.1080/00207179.2019.1690689
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FunderThis work was partially supported by Consejo Nacional de Ciencia y Tecnologia, Mexico [grant number 282013]; Government Council on Grants, Russian Federation [Grant 08-08]; Ministry of Education and Science of the Russian Federation [Project 14.Z50.31.0031]; Programa de Apoyo a Proyectos de Investigaci?n e Innovaci?n Tecnol?gica (UNAM), Mexico 115419; HoTSMoCE INRIA associate team program.
- Output synchronization
- Sliding mode observation
- Van der Pol oscillator
- Real-time control