Browsing by Author "Faieghi, Mohammadreza"

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LMI-based stabilization of a class of fractional-order chaotic systems
(Springer, 2013) Faieghi, Mohammadreza; Baleanu, Dumitru; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
Based on the theory of stabilization of fractional-order LTI interval systems, a simple controller for stabilization of a class of fractional-order chaotic systems is proposed in this paper. We consider the structure of the chaotic systems as fractional-order LTI interval systems due to the limited amplitude of chaotic trajectories. We introduce a simple feedback controller for the interval system and then, based on a recently established theorem for stabilization of interval systems, we reach to a linear matrix inequality (LMI) problem. Solving the LMI yields an appropriate decoupling feedback control law which suffices to bring the chaotic trajectories to the origin. Several illustrative examples are given which show the effectiveness of the method.
Passivity-Based Cruise Control of High Speed Trains
(Sage Publications Ltd, 2018) Faieghi, Mohammadreza; Baleanu, Dumitru; Jalali, Aliakbar; Mashhadi, Seyed Kamal-e-ddin Mousavi; Baleanu, Dumitru; 56389
The cruise control problem of high speed trains (HSTs) is revisited in this paper. Despite the ongoing trend of using Lyapunov-based approaches, the concept of passivity is used as the basis of cruise controller design. To begin with, the Euler-Lagrange modeling of longitudinal motion of HST is introduced. Consequently, passivity properties of the system is investigated and it is shown that the system presents a strictly passive input-output map output. This property is utilized to design a controller based on an energy-shaping method. Since the controller benefits from the passivity property of the train, it is structurally simple and computationally efficient while ensuring asymptotic velocity tracking. In addition, as revealed in our robust analysis, the controller is capable of dealing with bounded perturbations. That is to say, boundedness of velocity tracking errors is guaranteed for sufficiently large control feedback gains. The obtained theoretical results have been verified by numerical simulation.
Sampled-Data Nonlinear Observer Design For Chaos Synchronization: A Lyapunov-Based Approach
(Elsevier Science Bv, 2014) Faieghi, Mohammadreza; Baleanu, Dumitru; Mashhadi, Seyed Kamal-e-ddin Mousavi; Baleanu, Dumitru; 56389
This paper considers sampled-data based chaos synchronization using observers in the presence of measurement noise for a large class of chaotic systems. We study discretized model of chaotic systems which are perturbed by white noise and employ Lyapunov-like theorems to come up with a simple yet effective observer design. For the choice of observer gain, a suboptimal criterion is obtained in terms of LMI. We present semiglobal as well as global results. The proposed scheme can also be extended for discrete-time chaotic systems. Numerical simulations have been carried out to verify the effectiveness of theoretical results. (C) 2013 Elsevier B.V. All rights reserved.