H2 gain scheduled state feedback for LPV system with new LMI formulation

IEE Proceedings: Control Theory and Applications

Volumn 152, Issue 6, 2005, Pages 693-697

  Xie, W ^a  

^a KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR MATRIX INEQUALITY (LMI); PARAMETER VARYING SYSTEMS; POLYTOPIC CHARACTERISTICS;

COMPUTATIONAL COMPLEXITY; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PROBLEM SOLVING;

FEEDBACK CONTROL;

EID: 33749555793     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20050052     Document Type: Article

References (23)

1. Shamma, J.S., and Athans, M.: ' Analysis of nonlinear gain-scheduled control systems ', IEEE Trans. Autom. Control, 1990, 35, p. 898-907 10.1109/9.58498 0018-9286
2. Shamma, J.S., and Athans, M.: ' Guaranteed properties of gain-scheduled control for linear parameter-varying plants ', Automatica, 1991, 27, p. 559-564 10.1016/0005-1098(91)90116-J 0005-1098
3. Becker, G., Packard, A., Philbrick, D., and Blas, G.: ' Control of parametrically-dependent linear systems: a single quadratic Lyaponov approach ', Proc. American Control Conf., 1993, San Francisco, p. 2795-2799
4. Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V.: ' Linear matrix inequality in systems and control theory ', (SIAM Studies in Applied Mathematics 15, SIAM, Philadelphia, 1994)
5. ∞ control of linear parameter varying systems: a design example ', Automatica, 1995, 31, (9), p. 1251-1261 10.1016/0005-1098(95)00038-X 0005-1098
6. Wang, F., and Balakrishnan, V.: ' Improved stability analysis and gain-scheduled controller synthesis for parameter-dependent systems ', IEEE Trans. Autom. Control, 2002, 47, (5), p. 720-734 10.1109/TAC.2002.1000267 0018-9286
7. Rugh, W.J., and Shamma, J.S.: ' Research on gain scheduling ', Automatica, 2000, 36, p. 1401-1425 10.1016/S0005-1098(00)00058-3 0005-1098
8. Xie, W., and Eisaka, T.: ' Design of LPV control systems based on Youla parameterization ', IEE Proc. Control Theory Applic., 2004, 151, (04), p. 465-472
9. Scherer, C.W.: ' LPV control and full block multipliers ', Automatica, 2001, 37, p. 361-375 10.1016/S0005-1098(00)00176-X 0005-1098
10. Wu, F.: ' A generalized LPV system analysis and control synthesis framework ', Int. J. Control, 2001, 74, (7), p. 745-759 10.1080/ 00207170010031495 0020-7179
11. Feron, E., Apkarian, P., and Gahinet, P.: ' Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions ', IEEE Trans. Autom. Control, 1996, 41, (7), p. 1041-1046 10.1109/9.508913 0018-9286
12. Gahinet, P., Apkarian, P., and Chilali, M.: ' Affine parameter-dependent Lyapunov functions and real parametric uncertainty ', IEEE Trans. Autom. Control, 1996, 41, (3), p. 436-442 10.1109/9.486646 0018-9286
13. Apkarian, P., and Tuan, H.D.: ' Parameterized LMIs in control theory ', SIAM J. Control Optim., 2000, 38, (4), p. 1241-1264 0363-0129
14. de Oliveira, M.C., Bernussou, J., and Geromel, J.C.: ' A new discrete-time robust stability condition ', Syst. Control Lett., 1999, 37, (4), p. 261-265 10.1016/S0167-6911(99)00035-3 0167-6911
15. Peaucelle, D., Arzelier, D., Bachelier, O., and Bernussou, J.: ' A new robust D-stability condition for real convex polytopic uncertainty ', Syst. Control Lett., 2000, 40, (1), p. 21-30 10.1016/S0167-6911(99)00119-X 0167-6911
16. Leite, V.J.S., and Peres, P.L.D.: ' An improved LMI condition for robust D-stability of uncertain polytopic systems ', IEEE Trans. Autom. Control, 2003, 48, (3), p. 500-504 10.1109/TAC.2003.809167 0018-9286
17. ∞ norm characterizations and controller parameterization for discrete-time systems ', Int. J. Control, 2002, 75, p. 666-679 0020-7179
18. Shaked, U., and Improved, L.: ' representations for the analysis and the design of continuous-time systems with polytopic type uncertainity ', IEEE Trans. Autom. Control, 2001, 46, (4), p. 652-656 0018-9286
19. de Souza, C.E., Trofino, A., and de Oliveira, J.: ' Parametric Lyapunov function approach to H2 analysis and control of linear parameter-dependent systems ', IEE Proc. Control Theory Applic., 2003, 150, (5), p. 501-508
20. Paganini, F., and Feron, E.: ' Linear matrix inequality methods for robust H2 analysis: A survey with comparisons ', Recent advances in LMI methods in control, (SIAM, Philadelphia, PA, 2000), p. 129-151
21. ∞ gain control of linear parameter-varying systems with parameter-varying delays ', IEE Proc. Control Theory Applic., 2003, 150, (5), p. 509-517
22. Apkarian, P., and Adams, R.J.: ' Advanced gain-scheduled techniques for uncertain systems ', IEEE Trans. Control Syst. Technol., 1998, 6, (1), p. 21-32 10.1109/87.654874 1063-6536
23. Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M.: ' LMI control toolbox for use with matlab, User's guide ', (The Math Works Inc, Natick, MA, USA, 1995)