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

ISA Transactions
Zahra Sadat AghayanJ A Tenreiro Machado

Abstract

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.

References

Jan 15, 2011·ISA Transactions·R Mahboobi Esfanjani, S K Y Nikravesh
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yilun Shang
Aug 15, 2014·Journal of Mathematical Biology·M V BarbarossaC Kuttler
Jan 1, 2018·Journal of Inequalities and Applications·Tao WuXinzhi Liu
Jun 21, 2019·Neural Networks : the Official Journal of the International Neural Network Society·Seyed Mehdi Abedi PahnehkolaeiJ A Tenreiro Machado

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