Modeling and H∞ control for switched linear parameter-varying missile autopilot

IEEE Transactions on Control Systems Technology

Volumn 11, Issue 6, 2003, Pages 830-838

  Lim, Sungyung ^a   How, Jonathan P ^b  

^a Dynamics and Controls Section   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

H infinity control; Linear matrix inequality; Linear parameter varying system; Missile control; Switched systems

Indexed keywords

CONTROL SYSTEM SYNTHESIS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MISSILES; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

GAIN SCHEDULING; LINEAR MATRIX INEQUALITY; MISSILE AUTOPILOT; SWITCHED LINEAR PARAMETER VARYING SYSTEM;

ELECTRONIC GUIDANCE SYSTEMS;

EID: 0142162737     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2003.815610     Document Type: Article

References (25)

1. P. Apkarian and R. Adams, "Advanced gain-scheduling techniques for uncertain systems," IEEE Trans. Contr. Syst. Technol., vol. 6, pp. 21-31, 1998.
2. ∞ controllers," IEEE Trans. Automat. Contr., vol. 40, pp. 853-864, 1995.
3. T. Azuma, R. Watanabe, and K. Uchida, "An approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions," in Proc. ACC, 1997, pp. 510-514.
4. G. Becker, "Additional results on parameter-dependent controllers for LPV systems," in IFAC 13th TWC, San Francisco, CA, 1996, pp. 351-356.
5. G. Becker and A. Packard, "Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback," Syst. Contr. Lett., vol. 23, pp. 205-215, 1994.
6. S. Bennani, D. Willemsen, and C. Scherer, "Robust control of linear parametrically varying systems with bounded rates," J. Guid. Contr. Dynam., vol. 21, pp. 916-922, 1998.
7. E. Devaud, J. Harcaut, and H. Siguerdidjane, "Three-axes missile autopilot design: From linear to nonlinear control strategies," J. Guid. Contr. Dynam., vol. 24, no. 1, pp. 64-71, 2001.
8. P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Trans. Automatic Contr., vol. 41, pp. 437-442, 1996.
9. P. Gahinet, A. Nemirovski, A. Laub, and M. Chilali, The LMI Control Toolbox: The MathWorks Inc., 1995.
10. L. Ghaoui and J. Folcher, "Multiobjective robust control of LTI systems subject to unstructured perturbations," Syst. Contr. Lett., vol. 28, no. 1, pp. 23-30, 1996.
11. J. Imura and A. van der Shaft, "Characterization of well-posedness of piecewise linear systems," IEEE Trans. Automatic Contr., vol. 45, pp. 1600-1619, 2000.
12. 2-gain controllers for LPV system," in Proc. IEEE CDC, 1996, pp. 3990-3995.
13. S. Lim and J. How, "Analysis of linear parameter-varying systems using a nonsmooth dissipative systems framework," Int. J. Robust Nonlinear Contr., vol. 12, pp. 1067-1092, 2002.
14. S. Lim, "Analysis and control of linear parameter-varying systems," Ph.D. dissertation, Dept. Aeronaut. Astronaut., Stanford Univ., CA, 1999.
15. 2-gain synthesis on LPV missile autopilot design," in Proc. ACC, 1999, pp. 3733-3737.
16. ∞ controllers: A flight control example," IEEE Trans. Contr. Syst. Technol., vol. 1, pp. 69-79, 1993.
17. A. Packard, "Gain scheduling via linear fractional transformations," Syst. Contr. Lett., vol. 22, pp. 79-92, 1994.
18. P. Pellanda, P. Apkarian, and H. Tuan, "Missile autopilot design via a multi-channel LFT/LPV control method," Int. J. Robust and Nonlinear Contr., vol. 12, pp. 1-20, 2002.
19. A. Rantzer and M. Johansson, "Piecewise linear quadratic optimal control," IEEE Trans. Automatic Contr. vol. 46, pp. 629-637, 2000.
20. C. Scherer, R. Njio, and S. Bennani, "Parametrically varying flight control system design with full block scalings," in Proc. IEEE CDC, 1997, pp. 1501-1515.
21. A. Tsourdos, R. Zbikowski, and B. White, "Robust autopilot for a quasilinear parameter-varying missile model," J. Guid. Contr. Dynam., vol. 24, 2, pp. 287-295, 2001.
22. G. Wood, "Parameter-dependent control of mechanical systems," Ph.D. dissertation, St. John's College, Cambridge Univ., 1995.
23. F. Wu, "Control of linear parameter varying systems," Ph.D. dissertation, Univ. California at Berkeley, 1995.
24. F. Wu, A. Packard, and G. Balas, "LPV control design for pitch axis missile autopilot," in Proc. IEEE CDC, 1995, pp. 188-191.
25. ∞ control with parametric lyapunov functions," in Proc. IEEE CDC, 1996, pp. 2547-2552.