H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach

Mathematics and Computers in Simulation

Volumn 78, Issue 4, 2008, Pages 514-531

  Assawinchaichote, Wudhichai ^a   Nguang, Sing Kiong ^b   Shi, Peng ^c   Boukas, El Kébir ^d  

^a KING MONGKUT'S UNIVERSITY OF TECHNOLOGY THONBURI   (Thailand)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

^c UNIVERSITY OF GLAMORGAN   (United Kingdom)

^d ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Fuzzy control; Linear matrix inequalities (LMIs); Pole placement; Takagi Sugeno (TS) fuzzy model

Indexed keywords

CONSTRAINT THEORY; FEEDBACK CONTROL; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS;

POLE PLACEMENT CONSTRAINTS; STABILITY CONSTRAINTS; TAKAGI-SUGENO (TS) FUZZY MODEL;

NONLINEAR SYSTEMS;

EID: 44349134666     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2007.07.002     Document Type: Article

References (20)

1. ∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach. IEEE Trans. Syst. Man. Cybern. Part B 34 (2004) 579-588
2. ∞ control for nonlinear plants: connection with differential games. IEEE Conf. Decis. Control (1989) 956-962
3. ∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach. IEEE Trans. Fuzzy Syst. 8 (2000) 249-265
4. ∞ design with pole placement contraints: an LMI approach. IEEE Trans. Automat. Control 41 (1996) 358-367
5. Chilali M., Gahinet P., and Apkarian P. Robust pole placement in LMI regions. IEEE Trans. Automat. Control 44 (1999) 2257-2270
6. ∞ controller design of fuzzy dynamic system using LMI techniques. Fuzzy-IEEE'98 (1998) 538-544
7. ∞ controller design of fuzzy dynamic systems with pole placement constraints. Proc. Am. Control Conf. (2000) 1939-1943
8. Hill D.J., and Moylan P.J. Dissipative dynamical systems: basic input-output and state properties. J. Franklin Inst. 309 (1980) 327-357
9. Isidori A. Feedback control of nonlinear systems. Proc. First Eur. Control Conf. (1991) 1001-1012
10. ∞-control via measurement feedback in nonlinear systems. IEEE Trans. Automat. Control 37 (1992) 1283-1293
11. ∞ nonlinear modelling and control via uncertain fuzzy systems. Fuzzy Sets Syst. 143 (2004) 189-209
12. ∞ control of fuzzy dynamic systems. Fuzzy Sets Syst. 137 (2003) 367-386
13. Mehta S., and Chiasson J. Nonlinear control of a series dc motor: theory and experiment. IEEE Trans. Ind. Electron. 45 (1998) 134-141
14. ∞ filtering for fuzzy dynamic systems with pole placement. IEEE Trans. Circ. Syst. I 50 (2003) 1503-1508
15. ∞ fuzzy output feedback control design for nonlinear systems: an LMI approach. Proc. IEEE Conf. Decis. Control (2001) 4352-4357
16. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to model and control. IEEE Trans. Syst. Man. Cybern. SMC-15 1 (1985) 116-132
17. Taniguchi T., Tanaka K., Ohtake H., and Wang H.W. Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems. IEEE Trans. Fuzzy Syst. (2001) 525-538
18. ∞ control. Syst. Control Lett. 16 (1991) 1-8
19. ∞ control. IEEE Trans. Automat. Control 37 (1992) 770-784
20. Willems J.C. Dissipative dynamic systems Part I: General theory. Arch. Ration. Mech. Anal. 45 (1972) 321-351