Analog Fractional Order Controller in Temperature and Motor Control Applications

By Gary W. Bohannan. 2008

290 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/dcc703eca5875781c1427d64922dc30c5bfe0763

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In Control and Systems Engineering

In Modeling and Simulation

Citations in the corpus

Fabrication of a Fractional Order Capacitor With Desired Specifications: A Study on Process Identification and Characterization (2011, background): “Bohannan of Wavelength Electronics reported the realization of fractional order circuit element by developing lithium ions on the rough surface of metal electrodes [10].”
Fractional variational optimal control problems with delayed arguments (2010, methodology): “In control theory the fractional calculus was used by several authors, and interesting results were reported [15–19].”
Modified Laguerre Wavelets Method for delay differential equations of fractional-order (2015, background): “Fractional differential equations are applied to model wide range of physical problems including nonlinear oscillation of earth quakes [1], fluid-dynamic traffic [2], frequency dependent damping behavior of many viscoelastic materials, signal processing [5] and control theory [6].”
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems (2017, background): “, 2013), bioengineering (Magin, 2004), continuum mechanics (Mainardi, 1997), colored noise (Mandelbrot, 1967) and others (see Debnath, 2003; Bohannan, 2008; Das, 2008; Dalir and Bashour, 2010; Dzielinski et al., 2010; Hilfer, 2012; Jiang and Ding, 2013; Machado et al., 2013; Irandoust-Pakchin et al.”
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation (2014, background): “The subject is nowadays very active due to its many applications, not only in mathematics, but also in physics and engineering, and has proven to better describe certain complex phenomena in nature (see for instance [2–9]).”
A Legendre collocation method for fractional integro-differential equations (2011, background): “For example, fractional calculus is applied to model the frequency-dependent damping behavior of many viscoelastic materials (Bagley and Torvik, 1983), continuum and statistical mechanics (Mainardi, 1997), economics (Baillie, 1996), robotics (Debnath, 2003), control theory (Bohannan, 2008), signal p”