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Robust Gain–Scheduled PID Controller Design For Uncertain LPV Systems Cover

Robust Gain–Scheduled PID Controller Design For Uncertain LPV Systems

By: Vojtech Veselý and  Adrian Ilka  
Open Access
|Mar 2015

References

  1. [1] HENCEY, B.—ALLEYNE, A.: Robust Gain-Scheduled Control, In American Control Conference (ACC), 2010, pp. 3075–3081.10.1109/ACC.2010.5530440
  2. [2] GAO, J.—BUDMAN, H. M.: Design of Robust Gain-Scheduled PI Controllers for Nonlinear Processes, Journal of Process Control 15 No. 7 (2005), 807–817.10.1016/j.jprocont.2005.02.003
  3. [3] BLANCHINI, F.: The Gain Scheduling and the Robust State Feedback Stabilization Problems, IEEE Transactions on Automatic Control 45 No. 11 (2000), 2061–2070.10.1109/9.887627
  4. [4] STEWART, G. E.: A Pragmatic Approach to Robust Gain Scheduling, In 7th IFAC Symposium on Robust Control Design, vol. 7, Aalborg Congress & Culture Centre, Denmark, 2012, pp. 355–362.10.3182/20120620-3-DK-2025.00168
  5. [5] De OLIVEIRA, V.—KARIMI, A.: Robust and Gain-Scheduled PID Controller Design for Condensing Boilers by Linear Programming, In Proceedings of IFAC Conference in Advances in PID Control, March 2012, pp. 335–340.10.3182/20120328-3-IT-3014.00057
  6. [6] KÖROĞLU, H.: Robust Generalized Asymptotic Regulation via an LPV Controller without Parameter Derivative Dependence, In 49th IEEE Conference on Decision and Control (CDC), Dec 2010, pp. 4965–4971.10.1109/CDC.2010.5717033
  7. [7] FORRAI, A.—KAMIYAMA, K.: Robust Gain-Scheduled Control for Vibration Suppression, Electrical Engineering 87 No. 3 (2005), 151–162.10.1007/s00202-004-0227-5
  8. [8] WANG, F.—BALAKRISHNAN, V.: Improved Stability Analysis and Gain-Scheduled Controller Synthesis for Parameter-Dependent Systems, IEEE Transactions on Automatic Control 47 No. 5 (May 2002), 720–734.10.1109/TAC.2002.1000267
  9. [9] MONTAGNER, V. F.—PERES, P. L. D.: State Feedback Gain Scheduling for Linear Systems with Time-Varying Parameters, In Proceedings of the 2004 American Control Conference, vol. 3, 2004, pp. 2004–2009.10.23919/ACC.2004.1383754
  10. [10] APKARIAN, P.—GAHINET, P.—BECKER, G.: Self-Scheduled H Control of Linear Parameter-Varying Systems: A Design Example, Automatica 31 No. 9 (1995), 1251–1261.10.1016/0005-1098(95)00038-X
  11. [11] ADEGAS, F. D.—STOUSTRUP, J.: Structured Control of Affine Linear Parameter Varying Systems, In American Control Conference (ACC), July 2011, pp. 739–744.10.1109/ACC.2011.5991517
  12. [12] WEN-QIANG, L.—ZHI-QIANG, Z.: Robust Gain-Scheduling Controller to LPV System using Gap Metric, In International Conference on Information and Automation (ICIA), 2008, pp. 514–518.
  13. [13] SPILLMAN, M. S.—BLUE, P. A.—LEE, L. H.—BANDA, S. S.: A Robust Gain-Scheduling Example User Linear Parameter-Varying Feedback, In Proceedings of the IFAC 13th Triennial World Congress, 1996, pp. 221–226.
  14. [14] VESELÝ, V.—ROSINOVÁ, D.—ILKA, A.: Decetralized Gain-Scheduling Controller Design: Polytopic System Approach, In 13th IFAC Symposium on Large Scale Complex Systems (LSCS): Theory and Application, 2013, pp. 401–406.10.3182/20130708-3-CN-2036.00064
  15. [15] VESELÝ, V.—ILKA, A.: Gain-Scheduled PID Controller Design, Journal of Process Control 23 No. 8 (Sep 2013), 1141–1148.10.1016/j.jprocont.2013.07.002
  16. [16] LEE, S. M.—PARK, J. H.: Output Feedback Model Predictive Control for LPV Systems using Parameter-Dependent Lyapunov Function, Applied Mathematics and Computation 190 No. 1 (2007), 671–676.10.1016/j.amc.2007.01.061
  17. [17] SATO, M.—PEAUCELLE, D.: Gain-Scheduled Output-Feedback Controllers using Inexact Scheduling Parameters for Continuous-Time LPV Systems, Automatica 49 No. 4 (Apr 2013), 1019–1025.10.1016/j.automatica.2013.01.034
  18. [18] LEITH, D. J.—LEITHEAD, W. E.: Survey of Gain-Scheduling Analysis and Design, International Journal of Control 73 No. 11 (2000), 1001–1025.10.1080/002071700411304
  19. [19] RUGH, W. J.—SHAMMA, J. S.: Survey Research on Gain Scheduling, Automatica 36 No. 10 (Oct 2000), 1401–1425.10.1016/S0005-1098(00)00058-3
  20. [20] VESELÝ, V.—ROSINOVÁ, D.: Robust PID-PSD Controller Design: BMI Approach, Asian Journal of Control 15 No. 2 (2013), 469–478.10.1002/asjc.559
  21. [21] KUNCEVITCH, V. M.—LYCHAK, M. M.: Controller Design using Lyapunov Function Approach, Nauka, Moskov, 1977. (Russian)
  22. [22] GAHINET, P.—APKARIAN, P.—CHILALI, M.: Affine Parameter-Dependent Lyapunov Functions and Real Parametric Uncertainty, IEEE Transactions on Automatic Control 41 No. 3 (Mar 1996), 436–442.10.1109/9.486646
DOI: https://doi.org/10.1515/jee-2015-0003 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632
Language: English
Page range: 19 - 25
Published on: Mar 11, 2015
Published by: Slovak University of Technology in Bratislava
In partnership with: Paradigm Publishing Services
Publication frequency: 6 issues per year

© 2015 Vojtech Veselý, Adrian Ilka, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.