000014816 001__ 14816 000014816 005__ 20161115100203.0 000014816 04107 $$aeng 000014816 046__ $$k2016-08-21 000014816 100__ $$aIllingworth, Simon 000014816 24500 $$aRobust feedback control of thermoacoustic oscillations 000014816 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014816 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014816 506__ $$arestricted 000014816 520__ $$2eng$$aThis study investigates the feedback control of nonlinear thermoacoustic oscillations. A particular aim is to investigate the efficacy of feedback control when the system’s nonlinear dynamics are rich. Specifically, we investigate a flame model which exhibits significant changes in both the gain and the phase of its response to harmonic fluctuations. The flame is modelled by the kinematic G-equation. We model the experimental geometry of Balachandran et al. [1], accounting for a spatially non-uniform flow field, curvature corrections on the flame speed and equivalence ratio fluctuations at the injection point. Robust control techniques are used to design a controller which is then applied to both the linear and fully nonlinear system. 000014816 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014816 653__ $$a 000014816 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014816 720__ $$aIllingworth, Simon 000014816 8560_ $$ffischerc@itam.cas.cz 000014816 8564_ $$s177120$$uhttps://invenio.itam.cas.cz/record/14816/files/TS.FS01-3.04.pdf$$yOriginal version of the author's contribution as presented on CD, page 3067, code TS.FS01-3.04 . 000014816 962__ $$r13812 000014816 980__ $$aPAPER