The design of robust fractional order PI controller for liquid level control of a spherical tank

Yousefi, Mojtaba; Binazadeh, Tahereh; Shafiei, Mohammad Hossein

doi:10.1109/icciautom.2013.6912812

Cited by 3 publications

(1 citation statement)

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“…In addition, many physical phenomena have been modelled by FO differential equations, such as biomedical problems (Magin, 2006), heat transfer in homogeneous media (Gabano and Poinot, 2011), diffusion wave equation (Atanackovic et al, 2007), etc. Furthermore, many FO controllers have been studied and implemented for different practical applications like FO lead-lag compensators (Raynaud and Zergaınoh, 2000), FO PID controller (Hmed et al, 2016; Yousefi and Binazadeh, 2013), FO adaptive controller (Ladaci and Charef, 2006), FO optimal controller (Agrawal, 2004; Tricaud and Chen, 2010), FO sliding mode controller (Binazadeh and Shafiei, 2013; Dadras and Momeni, 2014), FO backstepping controller (Efe, 2012) and FO finite-time controller (Binazadeh, 2016).…”

Section: Introductionmentioning

confidence: 99%

Delay-independent sliding mode control of time-delay linear fractional order systems

Yousefi

Binazadeh

2016

Transactions of the Institute of Measurement and Control

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This paper considers the problem of delay-independent stabilization of linear fractional order (FO) systems with state delay. As in most practical systems in which the value of delay is not exactly known (or is time varying), a new approach is proposed in this paper, which results in asymptotic delay-independent stability of the closed-loop time-delay FO system. For this purpose, a novel FO sliding mode control law is proposed in which its main advantage is its independence to delay. Furthermore, a novel appropriate delay-independent sliding manifold is suggested. Additionally, two theorems are given and proved, which guarantee the occurrence of the reaching phase in finite time and the asymptotic delay-independent stability conditions of the dynamic equations in the sliding phase. Finally, in order to verify the theoretical results, two examples are given and simulation results confirm the performance of the proposed controller.

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