Computation of the optimal H∞ controller for a fractional order system
| buir.advisor | Özbay, Hitay | |
| dc.contributor.author | Karagül, Abidin Erdem | |
| dc.date.accessioned | 2016-01-08T18:28:21Z | |
| dc.date.available | 2016-01-08T18:28:21Z | |
| dc.date.issued | 2014 | |
| dc.department | Department of Electrical and Electronics Engineering | en_US |
| dc.description | Ankara : The Department of Electrical and Electronics Engineering and The Graduate School of Engineering and Science of Bilkent University, 2014. | en_US |
| dc.description | Thesis (Master's) -- Bilkent University, 2014. | en_US |
| dc.description | Includes bibliographical references leaves 49-54. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | Karagül, Abidin Erdem | en_US |
| dc.format.extent | xi, 102 leaves, graphics | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/16001 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Order Systems | en_US |
| dc.subject | H∞ Optimal Control | en_US |
| dc.subject | Approximation of Fractional Order Systems | en_US |
| dc.subject | Time Domain Simulation of Fractional Order Systems | en_US |
| dc.subject.lcc | QA314 .K37 2014 | en_US |
| dc.subject.lcsh | Fractional calculus. | en_US |
| dc.subject.lcsh | Control theory. | en_US |
| dc.subject.lcsh | Mathematical optimization. | en_US |
| dc.title | Computation of the optimal H∞ controller for a fractional order system | en_US |
| dc.type | Thesis | en_US |
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