Robust fuzzy control of uncertain nonlinear systems based on linear matrix inequalities

Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Volumn , Issue , 2008, Pages 4337-4341

  Bai, Shi Zhen ^a   Zhang, Song Tao ^a  

^a HARBIN UNIVERSITY OF COMMERCE   (China)

Author keywords

Fuzzy control; Linear matrix inequalities; Nonlinear systems

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; FUZZY INFERENCE; FUZZY LOGIC; FUZZY SYSTEMS; INDUSTRIAL ENGINEERING; INTELLIGENT CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; NONLINEAR SYSTEMS; ROBUST CONTROL; STANDARDS; SWITCHING SYSTEMS; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

COMMON POSITIVE DEFINITE MATRIX; CONTROL AND AUTOMATION; FUZZY PARTITIONING; INPUT VARIABLES; ROBUST FUZZY CONTROL; SIMULATION EXAMPLE; STABILITY CONDITIONS; SUFFICIENT CONDITIONS; T-S FUZZY MODELS; T-S FUZZY SYSTEMS; UNCERTAIN NONLINEAR SYSTEMS;

FUZZY CONTROL;

EID: 52149106896     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2008.4594523     Document Type: Conference Paper

References (12)

1. L. A. Zadeh, "Outline of A New Approach to the Analysis of Complex Systems and Decision Processes", IEEE Trans. Syst. Man. Cyber. vol. 3, pp. 28-44, 1973.
2. T. Takagi, and "M. Sugeno, Fuzzy Identification of Systems and Its Applications to Modeling and Control", IEEE Trans. Syst. Man Cyber. vol. 15, no. 1, pp. 116-132, 1985.
3. K. Tanaka, T. Ikeda, and H.O. Wang, "Robust Stability of A Class of Uncertain Nonlinear System via Fuzzy Control: Quadratic Stability, H∞ Control Theory and Linear Matrix Inequalities", IEEE Trans. Fuzzy Syst. vol. 4, no. 1, pp. 1-13, 1996.
4. X. J. Ma, and Z. Q. Sun, "Analysis and Design of Fuzzy Controller and Fuzzy Observer", IEEE Trans. Fuzzy Syst. vol.6, no. 1, pp. 41-51, 1998.
5. S. C. Tong, and H. H. Li, "Observer-based Robust Fuzzy Control of Nonlinear Systems with Parametric Uncertainties", Fuzzy Sets Syst. vol. 131, no. 2, pp. 165-184, 2002.
6. C. Z. Gong, and A. H. Wang, "Stability Analysis of Fuzzy Control for A Class of Complex Uncertain Nonlinear Systems", Proceedings of the 4th International Conference on Machine Learning and Cybernetics, Guangzhou, August 2005, 758-761.
7. H. J. Lee, J. B. Park, and G. Chen, "Robust Fuzzy Control of Nonlinear System with Parametric Uncertainties", IEEE Trans. Fuzzy Syst. vol. 9, no. 2, pp. 369-379, 2001.
8. K. R. Lee, E. T. Jeung, and H. B. Park, "Robust Fuzzy H∞ Control for Uncertain Nonlinear Systems via State Feedback: An LMI Approach", Fuzzy Sets Syst. vol. 120, pp. 123-134, 2001.
9. C. W. Park, "LMI-based Robust Stability Analysis for Fuzzy Feedback Linearization Regulators with Its Applications", Information Sciences, vol. 152, pp. 287-301, 2003.
10. S. Boyd, et al., Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, PA, 1994.
11. F. H. F. Leung, L. K. Wong, and P. K. S. Tam, "Fuzzy Model Based Controller for An Inverted pendulum", Electronics Letters, vol. 32, no. 18, pp. 1683-1685, 1996.
12. Z. H. Xiu, and G. Ren, "Stability Analysis and Systematic Design of Takagi-Sugeno Fuzzy Control Systems", Fuzzy Sets Syst. vol. 151, pp. 119-138, 2005.