Robustness analysis and synthesis of a multi-PID controller based on an uncertain multimodel representation

Computers and Chemical Engineering

Volumn 31, Issue 2, 2006, Pages 66-77

  Toscano, R ^a   Lyonnet, P ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

Multi PID; Multimodel; Parametric uncertainties; PID controller; Random search algorithm; Robust stability

Indexed keywords

ALGORITHMS; NONLINEAR SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS;

INTERVAL MATRIX; MULTIMODELS; PARAMETRIC UNCERTAINTIES; PID CONTROLLER; RANDOM SEARCH ALGORITHMS;

CONTROL SYSTEM ANALYSIS;

ALGORITHMS; CONTROL SYSTEM ANALYSIS; NONLINEAR SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS;

EID: 33750608387     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2006.05.002     Document Type: Article

References (15)

1. Feron E., Boyd S., El Ghaoui L., and Balakrishnan V. Linear matrix inequalities in system and control theory. Studies in applied mathematics (1994), SIAM, Philadelphia, PA
2. Foss B.A., Johasen T.A., and Sorensen A.V. Nonlinear predictive control using local models applied to a batch fermentation process. Control Engineering Practice 3 (1995) 389-396
3. Ge M., Chiu M.-S., and Wang Q.-G. Robust pid controller design via lmi approach. Journal of Process Control 12 (2002) 3-13
4. Hang C.C., Astrom K.J., and Wang Q.G. Relay feedback auto-tuning of process controllers-a tutorial review. Journal of Process Control 12 (2002) 143-162
5. Howitt G.D., and Luss R. Control of a collection of linear systems by linear state feedback control. International Journal of Control 58 (1993) 143-162
6. Hwang C., and Hsiao C.-Y. Solution of a non-convex optimization arising in pi/pid control design. Automatica 38 11 (2002) 143-162
7. Khalil H.K. Nonlinear system (2002), Prentice Hall
8. Palm R., and Rehfuess U. Fuzzy controllers as gain scheduling approximators. Fuzzy Sets and Systems 85 (1997) 233-246
9. Rugh W.J., and Shamma J.S. Survey paper, research on gain scheduling. Automatica 36 (2000) 1401-1425
10. Takagi T., and Sugeno M. Fuzzy identification of system and its applications to modeling and control. IEEE Transaction on Systems, Man and Cybernetics 1 (1985) 116-132
11. Tanaka K., and Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzu Sets and Systems 45 (1992) 135-156
12. Toscano R. Control of a nonlinear system, by fuzzy supervision, a local approach. Proceedings of the second conference on management and control of production and logistic. Grenoble, France (2000)
13. Toscano R. A simple robust PI/PID controller design via numerical optimization approach. Journal of Process Control 15 1 (2005) 81-88
14. VanAntwerp J.G., and Braatz R.D. A tutorial on linear and bilinear matrix inequalities. Journal of Process Control 10 (2000) 363-385
15. Vidyasagar M., and Blondel V.D. Probabilistic solutions to some np-hard matrix problems. Automatica 37 (2001) 1397-1405