Browsing by Subject "Fractional Order Systems"

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    Computation of optimal H∞ controllers and Approximations of fractional order systems: A tutorial review
    (Applied Mathematics Scientific Research Institute, 2013) Karagül, A. E.; Demir, O.; Özbay, Hitay
    This paper briefly reviews the recent techniques in the field of fractional order systems, and concentrates on the design of 'H00 optimal controllers for a magnetic suspension system model, derived in (25). The plant involves infinite dimensional terms, including a time delay and a rational function of y's. The recent formulation in (36) is used for the controller design, solving the mixed sensitivity minimization problem for unstable infinite dimensional plants with low order weights, and the result is verified with the old design procedure of (44). For simulation purposes, various implementation methods are performed, and a new approximation method is proposed.
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    Computation of the optimal H∞ controller for a fractional order system
    (2014) Karagül, Abidin Erdem
    This work investigates the H∞ optimal controller design for a fractional order system with time delay. For illustrative purposes, a magnetic suspension system model, derived by Knospe and Zhu is considered. The transfer function is infinite dimensional including e −hs and a rational function of √ s, where h > 0 represents the delay. Recently in a paper by Ozbay, a formulation is given to design the ¨ H∞ optimal controller for the mixed sensitivity minimization problem for unstable infinite dimensional plants with low order weights. This formulation is used to design the H∞ optimal controller for the fractional order system considered, and it is compared to alternative computation methods for H∞ control of infinite dimensional systems. To implement the controller, approximation methods are also investigated. Furthermore, finite dimensional rational approximation techniques of the fractional order integrator are evaluated for simulation purposes.