112 M. Schaeffner and R. Platz is able to stabilize the beam-column for axial loads 14% higher than the passive beam-column and above the theoretical critical buckling load. In future investigations, active buckling control will be applied for step-shaped axial compressive loads where active buckling control is assumed to be very beneficial. Furthermore, system identification for higher axial loads may improve the controller model to avoid instability at higher axial loads. Acknowledgements The authors like to thank the German Research Foundation (DFG) for funding this project within the Collaborative Research Center (SFB) 805. References 1. Timoshenko, S.P., Gere, J.M.: Theory of Elastic Stability. McGraw-Hill, New York (1961) 2. Meressi, T., Paden, B.: Buckling control of a flexible beam using piezoelectric actuators. J. Guid. Control Dyn. 16(5), 977–980 (1993) 3. Wang, Q.S.: Active buckling control of beams using piezoelectric actuators and strain gauge sensors. Smart Mater. Struct. 19, 1–8 (2010) 4. Thompson, S.P., Loughlan, J.: The active buckling control of some composite column strips using piezoceramic actuators. Compos. Struct. 32, 59–67 (1995) 5. Berlin, A.A., Chase, J.G., Yim, M., Maclean, J.B., Olivier, M., Jacobsen, S.C.: Mems-based control of structural dynamic instability. J. Intell. Mater. Syst. Struct. 9, 574–586 (1998) 6. Zenz, G., Humer, A.: Stability enhancement of beam-type structures by piezoelectric transducers: theoretical, numerical and experimental investigations. Acta Mech. 226(12), 3961–3976 (2015) 7. Enss, G.C., Platz, R., Hanselka, H.: Uncertainty in loading and control of an active column critical to buckling. Shock Vib. 19, 929–937 (2012) 8. Enss, G.C., Platz, R.: Evaluation of uncertainty in experimental active buckling control of a slender beam-column using Weibull analysis. Mech. Syst. Signal Process. 79, 123–131 (2016) 9. Schaeffner, M., Götz, B., Platz, R.: Active buckling control of a beam-column with circular cross-section using piezoelastic supports and integral LQR control. Smart Mater. Struct. 25(6), 065008 (2016) 10. Schaeffner, M., Platz, R.: Active buckling control of an imperfect beam-column with circular cross-section using piezoelastic supports and integral LQR control. J. Phys. Conf. Ser. 744, 012165 (2016) 11. Enss, G.C., Gehb, C.M., Goetz, B., Melz, T., Ondoua, S., Platz, R., Schaeffner, M.: Device for bearing design elements in lightweight structures (Festkörperlager) Patent. DE 10 2015 101 084 A1, July 2016 12. Przemieniecki, J.S.: Theory of Matrix Structural Analysis. McGraw-Hill, New York (1968) 13. Gawronski, W.: Advanced Structural Dynamic and Active Control of Structures. Springer, New York (2010) 14. Hendricks, E., Jannerup, O., Sørensen, P.H.: Linear Systems Control. Springer, Heidelberg (2008) 15. Pandey, A., Sehr, M., de Oliveira, M.: Pre-filtering in gain-scheduled and robust control. In: Proceedings of 2016 American Control Conference (ACC), Boston, MA, 6–8 July 2016 16. Löfberg, J.: Yalmip: a toolbox for modeling and optimization in MATLAB. In: Proceedings of the CACSD Conference, Taipei (2004)
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