Robust stability of uncertain fractional order systems of neutral type with distributed delays and control input saturation

Time delay occurs naturally due to the limited bandwidth of any real-world system. However, this problem can deteriorate the system performance and can even result in system instability. Input saturation is also an essential issue due to the energy constraint in real actuators that makes the control...

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Detalhes bibliográficos
Autor principal: Aghayan, Zahra Sadat (author)
Outros Autores: Alfi, Alireza (author), Tenreiro Machado, J. A. (author)
Formato: article
Idioma:eng
Publicado em: 2021
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/18603
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/18603
Descrição
Resumo:Time delay occurs naturally due to the limited bandwidth of any real-world system. However, this problem can deteriorate the system performance and can even result in system instability. Input saturation is also an essential issue due to the energy constraint in real actuators that makes the control design procedure more difficult. This article concerns with the stability of uncertain fractional order (FO) delay systems of neutral type including structured uncertainties, distributed delays and actuator saturation. A Lyapunov–Krasovskii functional allows the formulation of the conditions to insure the asymptotic robust stability of such systems via the linear matrix inequalities (LMI) and to compute the gain of a state feedback controller. In addition, by using the cone complementarity linearization method, we obtain the controller gains that extend the domain of attraction. Several simulations validate the theoretical analysis.