An LMI Approach to Control-Oriented Identification and Model (In) Validation of LPV Systems

IEEE Transactions on Automatic Control

Volumn 48, Issue 9, 2003, Pages 1619-1624

  Sznaier, Mario ^a   Mazzaro, María Cecilia ^a  

^a The Center for Nanotechnology Education and Utilization   (United States)

Author keywords

Control oriented; Linear parameter varying (LPV) systems; Robust identification and model (in)validation

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; MATRIX ALGEBRA; TOPOLOGY;

ROBUST IDENTIFICATION;

LINEAR SYSTEMS;

EID: 0141862125     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.817001     Document Type: Article

References (14)

1. D. Lawrence and W. Rugh, "Gain scheduling dynamic linear controllers for a nonlinear plant," Automatica, vol. 31, no. 3, pp. 381-390, Mar. 1995.
2. ∞ controllers," IEEE Trans. Automat. Contr., vol. 40, pp. 853-864, May 1995.
3. 2 norm control for LPV systems with bounded parameter variation rates," Int. J. Robust Nonlinear Control, vol. 6, no. 9-10, Nov./Dec. 1996.
4. R. Sánchez Peña and M. Sznaier, Robust Systems Theory and Applications. New York: Wiley, 1998.
5. N. Nemani, R. Ravikanth, and B. Bamieh, "Identification of linear parametrically varying systems," in Proc. 34th IEEE Conf. Decision Control, vol. 3, New Orleans, LA, Dec. 1995, pp. 2990-2995.
6. L. H. Lee and K. Poolla, "Identification of linear parameter-varying systems using nonlinear programming," J. Dyna. Syst., Measure., Control, vol. 121, no. 1, pp. 71-78, Mar. 1999.
7. M. Mazzaro, B. Movsichoff. and R. Sanchez Peña, "Robust identification of linear parameter varying systems," in Proc. 1999 Amer. Control Conf., vol. 4, San Diego, CA, June 1999, pp. 2282-2284.
8. B. Bamieh and L. Giarre, "Identification of linear parameter varying models," in Proc. 38th IEEE Conf. Decision Control, vol. 2, Phoenix, AZ, Dec. 1999, pp. 1505-1510.
9. P. Parrilo, R. Sánchez Peňa, and M. Sznaier, "A parametric extension of mixed time/frequency robust identification." IEEE Trans. Automat. Contr., vol. 44, pp. 364-369, Feb. 1999.
10. ∞ identification of multi-variable systems by tangential interpolation methods," IEEE Trans. Automat. Contr., vol. 41, pp. 1822-1828, Dec. 1996.
11. J. Ball, I. Gohberg, and L. Rodman, Interpolation of Rational Matrix Functions, Operator Theory: Advances and Applications. Basel, Germany: Birkhäuser, 1990, vol. 45.
12. J. P. Aubin and H. Frankowska, Set- Valued Analysis. Boston, MA:Birkhäuser, 1990.
13. K. Poolla, P. Khargonekar, A. Tikku, J. Krause, and K. Nagpal, "A time domain approach to model validation," IEEE Trans. Automat. Contr., vol. 39, pp. 951-959, May 1994.
14. M. Sznaier, B. Murphy, and O. Camps, "An LPV approach to synthesizing robust active vision systems," Proc. 2000 IEEE Conf. Decision Control, pp. 2545-2550, Dec. 2000.