Stable fuzzy control system design with pole-placement constraint: An LMI approach

Computers in Industry

Volumn 51, Issue 1, 2003, Pages 1-11

  Hong, Sung Kyung ^a   Nam, Yoonsu ^b  

^a Sejong University   (South Korea)

^b Kangwon National University   (South Korea)

Author keywords

Fuzzy control system; LMI

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; CONTROL SYSTEMS; FEEDBACK; LINEAR SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; ROTORS; SYSTEM STABILITY;

LINEAR MATRIX INEQUALITY (LMI);

FUZZY CONTROL;

EID: 0038384536     PISSN: 01663615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-3615(03)00057-5     Document Type: Article

References (12)

1. Takagi T., Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on System, Man, Cybernetics. 15:1985;116-132.
2. Tanaka K., Sano M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer. IEEE Transactions on Fuzzy Systems. 2(2):1994;119-134.
3. Hong S.K., Langari R. Fuzzy modeling and control of a nonlinear magnetic bearing system. Journal of Intelligent & Fuzzy Systems. 7(1):1999;335-346.
4. S.K. Hong, R. Langari, Experiments on fuzzy logic-based control of a magnetic bearing system, in: Proceedings of the North American Fuzzy Information Processing Society, Syracuse, New York, 1997, pp. 90-95.
5. Hong S.K., Langari R. Robust fuzzy control of a magnetic bearing system subject to harmonic disturbances. IEEE Transactions on Control System Technology. 8(2):2000;366-371.
6. Tanaka K., Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Sets System. 45(2):1992;135-156.
7. Wang H.O., Tanaka K., Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Transactions on Fuzzy Systems. 4(1):1996;14-23.
8. J. Zhao, R. Gorez, V. Wertz, Synthesis of fuzzy control systems with desired performances, in: Proceedings of the IEEE International Symposium on Intelligent Control, Dearborn, MI, 1996, pp. 115-120.
9. Hong S.K., Langari R. An LMI-based H-infinitive fuzzy control system design with TS framework. Information Sciences: An International Journal. 123(1):2000;163-179.
10. ∞ design with pole placement constraints: an LMI approach. IEEE Transactions on Automatic Control. 41(3):1996;358-367.
11. Gutman S., Jury E. A general theory for matrix root clustering in sub-regions of the complex plane. IEEE Transactions on Automatic Control. 26:1981;853-863.
12. P. Gahinet, A. Nemirovski, A. Laud, M. Chilali, The LMI Control Toolbox, The Math Works Inc., 1995.