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Fractional sliding mode nonlinear procedure for robust control of an eutrophying microalgae photobioreactor
(MDPI, 2020)
This paper proposes a fractional-order sliding mode controller (FOSMC) for the robust control of a nonlinear process subjected to unknown parametric disturbances. The controller aims to ensure optimal growth in photobioreactors ...
Conical Tank Level Control with Fractional PID
(IEEE-Inst Electrical Electronics Engineers, 2016)
A simulation study of fractional order PID (FOPID) applied to level control in a conic tank is presented in this paper. An improved mathematical model to represent better the nonlinear dynamic of the conic tank is derived ...
Robust adaptive passivity-based (PID)-D-lambda control
(Wiley, 2020)
In this article, we develop proportional, fractional-integral, and derivative (PI lambda D) controllers for the regulation and tracking problems of nonlinear systems. The analytic results are obtained by extending the ...
Combining fractional order operators and adaptive passivity-based controllers: an application to the level regulation of a conical tank
(Romanian Society of Control Engineering and Technical Informatics, 2017)
In this paper, fractional order (FO) operators and adaptive passivity-based controllers (APBC) are combined. The main aim is to explore possible advantages of combining FO operators and APBC over the use of integer order ...
Dynamics and Control of Energy Harvesting from a Non-ideally Excited Portal Frame System with Fractional Damping
(2021-01-01)
This paper analyzes the dynamics of a nonlinear piezoelectric energy harvesting device connected to a portal frame accounting for the influence of the fractional order derivative introduced due to damping. The identification ...
Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces
(Wiley VCH Verlag, 2017-01)
Given 0 <α< n and a Young function η, we consider the generalized fractional maximal operator Mα,η defined by Mα,η f (x) = sup Bx |B| α/n || f ||η,B, where the supremum is taken over every ball B contained in Rn . In this ...
Stability and applications of multi-order fractional systems
(Amer Inst MathematicaL Sciences-Aims, 2021)
This paper establishes conditions for global/local robust asymptotic
stability for a class of multi-order nonlinear fractional systems consisting
of a linear part plus a global/local Lipschitz nonlinear term. The ...
Improving The Control Energy In Model Reference Adaptive Controllers Using Fractional Adaptive Laws
(2016)
This paper presents the analysis of the control energy consumed in model reference adaptive control (MRAC) schemes using fractional adaptive laws, through simulation studies. The analysis is focused on the energy spent in ...