Extended Circle Criterion: Stable fuzzy control of a milling process

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 85-90

  Haber Guerra, R E ^a   Schmitt Braess, G ^b   Haber, R H ^c   Alique, A ^a   Ros, S ^a  

^a Consejo Superior de Investigaciones Científicas   (Spain)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^c UNIVERSIDAD DE ORIENTE   (Cuba)

Author keywords

Absolute stability; Fuzzy control; Knowledge based systems; Machining; Nonlinear systems

Indexed keywords

EID: 84945538990     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

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2. Haber R. E., R.H. Haber, et al, Model of the milling process on the basis of cutting force: A Neural network approach (2001), In: N. Mastorakis ed., Advances in Neural Networks and Applications, WSES Press, 378-384.
3. Haber R.E., C.R. Peres, et al (1998). Towards intelligent machining: hierarchical fuzzy control for end milling process. IEEE Transactions on Control Systems Technology 6 (2), 188-199.
4. nd. Edition, Prentice Hall, New Jersey.
5. Kitamura, S., T. Kurozumi (1992). Extended circle criterion, and stability analysis of fuzzy control systems, Fuzzy Engineering Toward Human Friendly Systems, Terano, T.; Sugeno, Eds., (1992) pp. 634-643. IOS Press, Amsterdam.
6. Lauderbaugh L.K. and A. G. Ulsoy (1989). Model reference adaptive force control in milling. ASME Journal Engineering of Industry 111, 13-21.
7. Ray, K.S., D. D. Majumder (1984). Application of Circle Criteria for Stability Analysis of Linear SESS and MEMS Systems Associated with Fuzzy Logic Controller, IEEE Trans. on SMC, 14 (2), 345-349.
8. Schmitt G., (1999). Frequency domain evaluation of Circle Criterion, Popov Criterion and Off-Axis Criterion in the MIMO case. International Journal of Control, 72-14, 1299-1309.
9. Shulz, H., Hochgeschwindigkeits-bearbeitung (High Speed Machining, in German), Carl Hansen Verlag Munchen Wien, Munich, 1999.
10. Xu, J-X, C.C. Hang, C. Liu (1996), Designing a stable fuzzy PI control system using extended circle criterion, Int. Journal of Intelligent Control and Systems, Vol. 1 (3), 355-366.
11. Ying, H. (1999), Analytical structure of a typical fuzzy controllers employing trapezoidal input fuzzy sets and nonlinear control rules, Information Science 116, 177-203