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Browsing ISEP - DEE - Artigos by Author "Aghayan, Zahra Sadat"
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- LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturationPublication . Aghayan, Zahra Sadat; Alfi, Alireza; Tenreiro Machado, J. A.This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the Lyapunov–Krasovskii functional. Moreover, a state-feedback control law is formulated by means of linear matrix inequalities. In order to analyze the domain of attraction, an algorithm for determining the controller gain is provided via the cone complementarity linearization method. The main results are illustrated via numerical examples.
- Robust stability of uncertain fractional order systems of neutral type with distributed delays and control input saturationPublication . Aghayan, Zahra Sadat; Alfi, Alireza; Tenreiro Machado, J. A.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.