Kybernetika 52 no. 6, 967-987, 2016

Switching LPV control design with MDADT and its application to a morphing aircraft

Yong He, Chunjuan Li, Weiguo Zhang, Jingping Shi and Yongxi LüDOI: 10.14736/kyb-2016-6-0967

Abstract:

In flight control of a morphing aircraft, the design objective and the dynamics may be different in its various configurations. To accommodate different performance goals in different sweep wing configurations, a novel switching strategy, mode dependent average dwell time (MDADT), is adopted to investigate the flight control of a morphing aircraft in its morphing phase. The switching signal used in this note is more general than the average dwell time (ADT), in which each mode has its own ADT. Under some simplified assumptions the control synthesis condition is formulated as a linear matrix optimization problem and a set of mode-dependent dynamic state feedback controllers are designed. Afterwards the proposed approach is applied to a morphing aircraft with a variable sweep wing to demonstrate its validity.

Keywords:

flight control, switching linear parameter-varying system, morphing aircraft, mode dependent average dwell time

Classification:

93C95, 93D09

paper.pdf

References:

  1. P. Apkarian, P. Gahinet and Greg Becker: Self-scheduled H{$_\infty$} control of linear parameter-varying systems: a design example. Automatica 31 (1005), 9, 1251-1261.   DOI:10.1016/0005-1098(95)00038-x
  2. D. H. Baldelli, Dong-Hwan Lee, R. S. Sánchez Peña and B. Cannon: Modeling and control of an aeroelastic morphing vehicle. J. Guidance, Control, and Dynamics 31 (2008), 6, 1687-1699.   DOI:10.2514/1.35445
  3. S. Barbarino, O. Bilgen, R. M. Ajaj, M. I. Friswell and D. J. Inman: A review of morphing aircraft. J. Intelligent Material Systems and Structures 22 (2011), 9, 823-877.   DOI:10.1177/1045389x11414084
  4. J. C. Bowman, R. W. Plumley, J. A. Dubois and D. M. Wright: Mission effectiveness comparisons of morphing and non-morphing vehicles. In: 6th AIAA Aviation Technology, Integration and Operations Conference (ATIO) 2006, pp. 25-27.   DOI:10.2514/6.2006-7771
  5. Pang-Chia Chen: The design of smooth switching control with application to v/stol aircraft dynamics under input and output constraints. Asian J. Control 14 (2012), 2, 439-453.   DOI:10.1002/asjc.345
  6. M. Hanifzadegan and R. Nagamune: Smooth switching lpv controller design for lpv systems. Automatica 50 (2014), 5, 1481-1488.   DOI:10.1016/j.automatica.2014.03.014
  7. J. P. Hespanha and A. S. Morse: Stability of switched systems with average dwell-time. In: Decision and Control, 1999, Proc. 38th IEEE Conference, IEEE 3 (1999), pp. 2655-2660.   DOI:10.1109/cdc.1999.831330
  8. A. Hjartarson, P. Seiler and G. J. Balas: Lpv analysis of a gain scheduled control for an aeroelastic aircraft. In: 2014 American Control Conference, IEEE (2014), pp. 3778-3783.   DOI:10.1109/acc.2014.6859301
  9. Ke Hu and Jingqi Yuan: On switching H{$_\infty$} controllers for nuclear steam generator water level: A multiple parameter-dependent lyapunov functions approach. Ann. Nuclear Energy 35 (2008), 10, 1857-1863.   DOI:10.1016/j.anucene.2008.04.004
  10. Weilai Jiang, Chaoyang Dong and Qing Wang: A systematic method of smooth switching lpv controllers design for a morphing aircraft. Chinese J. Aeronautics 28 (2015), 6, 1640-1649.   DOI:10.1016/j.cja.2015.10.005
  11. D. Liberzon and A. S. Morse: Basic problems in stability and design of switched systems. IEEE Control Syst. 19 (1999), 5, 59-70.   DOI:10.1109/37.793443
  12. Bei Lu and Fen Wu: Switching lpv control designs using multiple parameter-dependent lyapunov functions. Automatica 40 (2004), 11, 1973-1980.   DOI:10.1016/j.automatica.2004.06.011
  13. Bei Lu, Fen Wu and SungWan Kim: Switching lpv control of an f-16 aircraft via controller state reset. IEEE Trans. Control Syst. Technol. 14 (2006), 2, 267-277.   DOI:10.1109/tcst.2005.863656
  14. M. Postma and R. Nagamune: Air-fuel ratio control of spark ignition engines using a switching lpv controller. IEEE Trans. Control Syst. Technol. 20 (2012), 5, 1175-1187.   DOI:10.1109/tcst.2011.2163937
  15. T. M. Seigler and D. A. Neal: Analysis of transition stability for morphing aircraft. J. Guidance, Control, and Dynamics 32 (2009), 1947-1954.   DOI:10.2514/1.44108
  16. J. S Shamma: An overview of lpv systems. In: Control of Linear Parameter Varying Systems with Applications, Springer 2012, pp. 3-26.   DOI:10.1007/978-1-4614-1833-7_1
  17. J. S. Shamma and M. Athans: Analysis of gain scheduled control for nonlinear plants. IEEE Trans. Automat. Control 35 (1990), 8, 898-907.   DOI:10.1109/9.58498
  18. J. S. Shamma and M. Athans: Guaranteed properties of gain scheduled control for linear parameter-varying plants. Automatica 27 (1991), 3, 559-564.   DOI:10.1016/0005-1098(91)90116-j
  19. Shun Wang, Ming Zeng, Zhiwei Yu and Yu Liu: New results on finite-time stability of switched linear systems with average dwell time. IFAC Proc. Vol. 47 (2014), 3, 1495-1500.   DOI:10.3182/20140824-6-za-1003.02084
  20. Fen Wu: Control of Linear Parameter Varying Systems. PhD Thesis, University of California at Berkeley, 1995.   CrossRef
  21. Fen Wu and K. M Grigoriadis: Lpv systems with parameter-varying time delays: analysis and control. Automatica 37 (2001), 2, 221-229.   DOI:10.1016/s0005-1098(00)00156-4
  22. Fen Wu, A. Packard and G. Balas: Lpv control design for pitch-axis missile autopilots. In: Decision and Control, 1995, Proc. 34th IEEE Conference, IEEE 1 (1995), pp. 188-193.   DOI:10.1109/cdc.1995.478672
  23. M. Yagoubi: On multiobjective synthesis for parameter-dependent descriptor systems. IET Control Theory Appl. 4 (2010), 5, 817-826.   DOI:10.1049/iet-cta.2009.0149
  24. Ting Yue, Lixin Wang and Junqiang Ai: Longitudinal linear parameter varying modeling and simulation of morphing aircraft. J. Aircraft 50 (2013), 6, 1673-1681.   DOI:10.2514/1.c031316
  25. Xudong Zhao, Hao Liu and Zhenhuan Wang: Weighted H{$_\infty$} performance analysis of switched linear systems with mode-dependent average dwell time. Int. J. Systems Sci. 44 (2013), 11, 2130-2139.   DOI:10.1080/00207721.2012.684905
  26. Xudong Zhao, Lixian Zhang, Peng Shi and Ming Liu: Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Trans. Automat. Control 57 (2012), 7, 1809-1815.   DOI:10.1109/tac.2011.2178629