On inexact LPV control design of continuous-time polytopic systems

IEEE Transactions on Automatic Control

Volumn 53, Issue 7, 2008, Pages 1674-1678

  Daafouz, Jamal ^a   Bernussou, J ^b   Geromel, J C ^c  

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

^b UNIVERSITÉ DE TOULOUSE   (France)

^c UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Linear matrix inequality (LMI); Linear parameter varying (LPV) control design; Uncertain linear systems

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONTROL THEORY; KETONES; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS);

BOUNDED UNCERTAINTY; CONTINUOUS-TIME; CONTROL SYNTHESIS; CONVEX PROGRAMMING; DYNAMIC OUTPUT; LINEAR MATRIX INEQUAL-ITY; LINEAR MATRIX INEQUALITY (LMI); LINEAR PARAMETER-VARYING (LPV) CONTROL DESIGN; LINEAR PARAMETER-VARYING CONTROL; LPV CONTROL; NON-CONVEX PROBLEMS; PARAMETER DEPENDENCE; POLYTOPIC SYSTEMS; UNCERTAIN LINEAR SYSTEMS; VARYING PARAMETERS;

CONTROL SYSTEMS;

EID: 52249089061     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.928119     Document Type: Article

References (16)

1. ∞ controllers," IEEE Trans. Autom. Control vol. 40, no. 5, pp. 853-864, May 1995.
2. G. J. Balas, "Linear parameter varying control and its application to a turbofan engine," Int. J. Non-linear and Robust Control, Special issue on Gain Scheduled Control, vol. 12, no. 9, pp. 763-798, 2002.
3. J. M. Biannic and P. Apkarian, "Missile autopilot design via a modified LPV synthesis technique," Aerosp. Sci. Technol., pp. 153-160, 1999.
4. C. Courties, "Sur la commande robuste et LPV de systèmesà paramètres lentement variables," Ph.D. dissertation, l'Institut National des Sciences Appliquées, Toulouse, France, 1999, Rep. LAAS-CNRS.
5. M. Dettori and C. W. Scherer, "LPV design for a CD player: An experimental evaluation of performance," in Proc. IEEE CDC, 2001, pp. 4711-4716.
6. P. Gaspa, I. Szaszi, and J. Bokor, "Active suspension design using linear parameter varying control," Int. J. Vehicle Auton. Syst., vol. 1, no. 2, pp. 206-221, 2003.
7. L. Giarré, D. Bauso, P. Falugi, and B. Bamieh, "LPV model identification for gain scheduling control: An application to rotating stall and surge control problem," Control Eng. Practice, vol. 14, no. 4, pp. 351-361, 2006.
8. L.H. Keel and S. P. Bhattacharyya, "Robust, fragile or optimal?," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 1098-1105, Aug. 1997.
9. I. E. Kose and F. Jabbari, "Control of LPV systems with partly measured parameters," IEEE Trans. Autom. Control, vol. 44, no. 3, pp. 658-663, Mar. 1999.
10. G. Millerioux, L. Rosier, G. Bloch, and J. Daafouz, "Bounded state reconstruction error for LPV systems with estimated parameters," IEEE Trans. Autom. Control, vol. 49, no. 8, pp. 1385-1389, Aug. 2004.
11. ∞ controllers: A flight control example," IEEE Trans. Control Syst. Technol., vol. 1, no. 2, pp. 69-79, Jun. 1993.
12. R. T. Reichert, "Robust autopilot design using μ-synthesis," in Proc. American Control Conf., 1990, pp. 2368-2373.
13. 2 problem for LPV systems and its applications to model-following controller design for aircrafts motions," in Proc. IEEE Control Applications, 2004, pp. 442-449.
14. H. D. Tuan and P. Apkarian, "Monotonic relaxations for robust control: New characterizations," IEEE Trans. Autom. Control, vol. 47, no. 2, pp. 378-384, Feb. 2002.
15. V. Verdult, M. Lovera, and M. Verhaegen, "Identification of linear parameter varying state space models with application to helicopter rotor dynamics," Int. J. Control, vol. 77, no. 13, pp. 1149-1159, 2004.
16. W. G. Wassink, M. V. d. Wal, C. Scherer, and O. Bosgra, "LPV control for a wafer stage: Beyond the theoretical solution," Control Eng. Practice, pp. 231-245, 2005.