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 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. (c) 2020 ISA. Published by Elsevier Ltd. All rights reserved.

Automated summary

This article addresses the stability of uncertain fractional order delay systems of neutral type, including structured uncertainties, distributed delays, and actuator saturation. By using Lyapunov-Krasovskii functional and linear matrix inequalities, the asymptotic robust stability of the systems is ensured, and the gain of a state feedback controller is computed. Additionally, controller gains that extend the domain of attraction are obtained with the cone complementarity linearization method.