Reducing the mast vibration of single-mast stacker cranes by gain-scheduled control

Apkarian, P. and Adams, R.J. (1998). Advanced gain-scheduling techniques for uncertain systems, IEEE Transactions on Control Systems Technology 6(1): 21-32.10.1109/87.654874Search in Google Scholar

Apkarian, P., Gahinet, P. and Becker, G. (1995). Self-scheduled H∞ control of linear parameter-varying systems: A design example, Automatica 31(9): 1251-1261.10.1016/0005-1098(95)00038-XSearch in Google Scholar

Aschemann, H., Schindele, D. and Ritzke, J. (2011). Modeling, Design, and Simulation of Systems with Uncertainties, Springer, Berlin/Heidelberg, pp. 333-351.Search in Google Scholar

Bachmayer, M. Schipplick, M., Thümmel, T., Kessler, S., Ulbrich, H. and Günthner, W.A. (2008). Nachschwingungsfreie Positionierung elastischer Roboter durch numerische und analytische Trajektorienplanung am Beispiel Regalbediengerät, VDE/VDI-Tagung: Elektrisch-mechanische Antriebssysteme-Innovationen- Trends-Mechatronik, Böblingen, Germany, pp. 1-7.Search in Google Scholar

Bachmayer, M., Zander, R. and Ulbrich, H. (2009). Numerical approaches for residual vibration free positioning of elastic robots, Materialwissenschaft und Werkstofftechnik 40(3): 161-168.10.1002/mawe.200900422Search in Google Scholar

Benner, P. Quintana-Orti, E.S. and Quintana-Orti, G. (2003). State-space truncation methods for parallel model reduction of large-scale systems, Parallel Computing 29(11-12): 1701-1722.10.1016/j.parco.2003.05.013Search in Google Scholar

Bokor, J. and Balas, G. (2005). Linear parameter varying systems: A geometric theory and applications, 16th IFAC World Congress, Prague, Czech Republic, pp. 12-22.Search in Google Scholar

Caigny, J.D., Pintelon, R., Camino, J.F. and Swevers, J. (2014). Interpolated modeling of LPV systems, IEEE Transactions on Control Systems Technology 22(6): 2232-2246.10.1109/TCST.2014.2300510Search in Google Scholar

Chilali, M. and Gahinet, P. (1995). H∞ design with pole placement constraints: An LMI approach, IEEE Transactions on Automatic Control 41(3): 358-367.10.1109/9.486637Search in Google Scholar

Dietzel, M. (1999). Beeinflussung des Schwingungsverhaltens von Regalbediengeräten durch Regelung des Fahrantriebs, dissertation, Institut für Fördertechnik Karlsruhe, Karlsruhe.Search in Google Scholar

Fang, H., Yueting, C. and Shouhua, Z. (2008). Application of fuzzy control in the stacker crane of an AS/RS, 5th International Conference on Fuzzy Systems and Knowledge Discovery, Jinan, Shandong, China, pp. 508-512.Search in Google Scholar

Gahinet, P. and Apkarian, P. (1994). A linear matrix inequality approach to H∞ control, International Journal of Robust and Nonlinear Control 4(4): 421-448.10.1002/rnc.4590040403Search in Google Scholar

Görges, D., Kroneis, J. and Liu, S. (2009). Active vibration control of storage and retrieval machines, Proceedings of the ASME 2008 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, New York, NY, USA, pp. 1037-1046.Search in Google Scholar

Hassanabadi, A.H., Shafiee, M. and Puig, V. (2016). Robust fault detection of singular LPV systems with multiple time-varying delays, International Journal of Applied Mathematics and Computer Science 26(1): 45-61, DOI: 10.1515/amcs-2016-0004.10.1515/amcs-2016-0004Search in Google Scholar

Heptner, K. (1970). Dynamisches Fahrverhalten von Regalförderzeugen und Dämpfung ihrer Schwingungen, Fördern und Heben 20(16): 918-922.Search in Google Scholar

Hoffmann, C. and Werner, H. (2015a). LFT-LPV modeling and control of a control moment gyroscope, 54th IEEE Conference on Decision and Control (CDC), Osaka, Japan, pp. 5328-5333.10.1109/CDC.2015.7403053Search in Google Scholar

Hoffmann, C. and Werner, H. (2015b). A survey of linear parameter-varying control applications validated by experiments or high-fidelity simulations, IEEE Transactions on Control Systems Technology 23(2): 416-433.10.1109/TCST.2014.2327584Search in Google Scholar

Leith, D. and Leithead, W. (2000). Survey of gain-scheduling analysis and design, International Journal of Control 73(11): 1001-1025.10.1080/002071700411304Search in Google Scholar

Nowakowski, C., Kürschner, P., Eberhard, P. and Benner, P. (2013). Model reduction of an elastic crankshaft for elastic multibody simulations, Journal of Applied Mathematics and Mechanics 93(4): 198-216.10.1002/zamm.201200054Search in Google Scholar

Packard, A. and Balas, G. (1997). Theory and application of linear parameter varying control techniques, American Control Conference, Albuquerque, NM, USA, Workshop I.Search in Google Scholar

Péni, T., Vanek, B., Szab´o, Z. and Bokor, J. (2015). Supervisory fault tolerant control of the GTM UAV using LPV methods, International Journal of Applied Mathematics and Computer Science 25(1): 117-131, DOI: 10.1515/amcs-2015-0009.10.1515/amcs-2015-0009Search in Google Scholar

Poussot-Vassal, C. and Demourant, F. (2012). Dynamical medium (large)-scale model reduction and interpolation with application to aircraft systems, Aerospace Lab 4(1): 1-11.Search in Google Scholar

Poussot-Vassal, C. and Roos, C. (2011). Flexible aircraft reduced-order LPV model generation from a set of large-scale LTI models, Proceedings of the IEEE American Control Conference, San Francisco, CA, USA, pp. 745-750.Search in Google Scholar

Sasaki, M., Shimizu, T., Ikai, K. and Ito, S. (2009). Two-degree-of-freedom control of a stacker crane, ICROSSICE International Joint Conference, Fukuoka, Japan, pp. 874-878.Search in Google Scholar

Scherer, C. (1995). Mixed H2/H∞ control, in A. Isidori (Ed.), Trends in Control: A European Perspective, Springer-Verlag, London, pp. 173-216.10.1007/978-1-4471-3061-1_8Search in Google Scholar

Scherer, C., Gahinet, P. and Chilali, M. (1997). Multiobjective output-feedback control via LMI optimization, IEEE Transaction on Automatic Control 42(7): 896-911.10.1109/9.599969Search in Google Scholar

Schindele, D. and Aschemann, H. (2014). Adaptive LQR-control design and friction compensation for flexible high-speed rack feeders, Journal of Computational and Nonlinear Dynamics 9(1): 1-9.10.1115/1.4025351Search in Google Scholar

Schumacher, M. (1994). Untersuchung des Schwingungsverhaltens von Einmast-Regalbediengeräten, Dissertation, Institut für Fördertechnik Karlsruhe, Karlsruhe.Search in Google Scholar

Shamma, J.S. (1988). Analysis and Design of Gain Scheduled Control Systems, Ph.D. thesis, Laboratory for Information and Decision Systems, Cambridge, MA.Search in Google Scholar

Staudecker, M., Schlacher, K. and Hansl, R. (2008). Passivity based control and time optimal trajectory planning of a single mast stacker crane, Proceedings of the 17th IFAC World Congress (IFAC’08), Seoul, Korea, pp. 875-880.Search in Google Scholar

Theis, J., Takarics B., Pfifer H., Balas G. and Werner H. (2015). Modal matching for LPV model reduction of aeroservoelastic vehicles, AIAA Atmospheric Flight Mechanics Conference, Kissimmee, FL, USA, pp. 1-12.Search in Google Scholar

Wu, F. (1996). Induced L2 norm model reduction of polytopic uncertain linear systems, Automatica 32(10): 1417-1426.10.1016/0005-1098(96)00109-4Search in Google Scholar

Zhou, K., Doyle, J.C. and Glover, K. (1996). Robust and Optimal Control, Prentice Hall, Upper Saddle River, NJ.Search in Google Scholar