Observer design with guaranteed bound for LPV systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 107-112

  Daafouz, Jamal ^a   Millerioux, Gilles ^a   Rosier, Lionel ^b  

^a CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

^b INRIA   (France)

Author keywords

Bounded estimation; LPV systems; Polytopic observers

Indexed keywords

BOUNDED DISTURBANCES; CONVEX OPTIMIZATION PROBLEMS; GUARANTEED BOUNDS; LPV SYSTEMS; OBSERVATION ERRORS; POLYTOPIC OBSERVERS; STATE OBSERVATION; STATE RECONSTRUCTION;

CONVEX OPTIMIZATION;

EID: 79960712865     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00962     Document Type: Conference Paper

References (15)

1. Apkarian, P. and P. Gahinet (1995). A convex characterization of gain-scheduled hinfinity controllers. IEEE Trans. Automat. Control 40, 853-864.
2. Barbosa, K.A., C.E.de Souza and A.Trofino (2002). Robust h-2 filtering for discrete-time uncertain linear systems using parameter-dependent lyapunov functions. Proc. 2002 American Control Conf., Anchorage, Alaska.
3. Bastin, G. and M. Gevers (1988). Stable adaptive observers for nonlinear time-varying systems. IEEE Trans. on Automatic Control 33(7), 650-658.
4. Becker, G. and A. Packard (1994). Robust performance of linear parametrically varying systems using parametrically dependent linear feedback. Systems and control letters pp. 205- 215.
5. Daafouz, J. and J. Bernussou (2001). Parameter dependent lyapunov functions for discrete time systems with time varying parametric uncertainties. In: Systems and Control Letters. Vol. 43. pp. 355-359.
6. de Oliveira, M.C. and J.C. Geromel (2003). H- 2 and h-infinity filtering design subject to implementation uncertainty. Proc. 4th IFAC Symp. Robust Control Design, Milano, Italy.
7. ElGhaoui, L. and Niculescu, S.I., Eds. (2000). Advances in Linear Matrix Inequality Methods in Control. SIAM's Advances in Design and Control.
8. Geromel, J.C., M.C. de Oliveira and J. Bernussou (2002). Robust filtering of discrete-time linear systems with parameter-dependent lyapunov functions. SIAM J. Control Optim pp. 700- 711.
9. Jiang, Z-P., E. Sontag and Y. Wang (1999). Input-to-state stability for discrete-time nonlinear systems. In: Proc. 14th triennal World Congress. China. pp. 277-282.
10. Kose, I.E. and F. Jabbari (1997). Control of lpv systems with partly-measured parameters. Proceedings of the 36th IEEE Conference on Decision and Control pp. 972-977.
11. Marino, R., G.L. Santosuosso and P. Tomei (2001). Robust adaptive observers for nonlinear systems with bounded disturbances. IEEE Trans. on Automatic Control 46, 967- 972.
12. Millerioux, G., L. Rosier, G. Bloch and J. Daafouz (2004). Bounded state reconstruction error for lpv systems with estimated parameters. IEEE Trans. on Automatic Control pp. 1385- 1389.
13. Scherer, C. (1996). Robust generalized h2 control for uncertain and lpv systems with general scalings. Proceedings of the IEEE Conference on Decision and Control, Kobe, Japan pp. 3970-3975.
14. Shamma, J. and M. Athans (1991). Guaranteed properties of gain scheduled control for linear parameter varying plants. Automatica pp. 559-564.
15. Sontag, E.D. (1989). Smooth stabilization implies coprime factorization. IEEE Trans. Autom. Contr. 34, 435-443.