Analysis of the robustness of predictive controllers via modal intervals

Reliable Computing

Volumn 6, Issue 3, 2000, Pages 281-301

  Vehí, Josep ^a   Rodellar, José ^b   Sainz, Miguel ^a   Armengol, Joaquim ^a  

^a UNIVERSITY OF GIRONA   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; MODAL ANALYSIS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY; SYSTEM STABILITY; TRANSFER FUNCTIONS; UNCERTAIN SYSTEMS;

MODAL INTERVAL ANALYSIS;

PREDICTIVE CONTROL SYSTEMS;

EID: 0034249528     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009982530323     Document Type: Article

References (18)

1. Balakrishnan, V. and Boyd, S.: Global Optimization in Control Systems Analysis and Design, in: Leondes, C. (ed.), Control and Dynamic Systems: Advances in Theory and Applications, Vol. 53, 1992.
2. Bitmead, R. R., Gevers, M., and Wetz, V.: Adaptive Optimal Control, Prentice Hall, 1990.
3. Camacho, E. F. and Bordons, C.: Model Predictive Control, in the Process Industry, Springer Verlag, 1994.
4. Gardeñes, E. and Mielgo, H.: Modal Intervals: Functions, in: Proc. Polish Symposium on Interval and Fuzzy Mathematics, 1986, pp. 39-58.
5. Gardeñes, E., Mielgo, H., and Sainz, M.: Presentation of the Research Group SIGLA/X, Research report IMA 95-10, Dept. IMA. University of Girona, Spain, 1995.
6. Gardeñes, E., Mielgo, H., and Trepat, A.: Modal Intervals: Reasons and Ground Semantics, in: Interval Mathematics 1985, Springer, Berlin, 1985, pp. 27-35.
7. Garloff, J. and Graf, B.: Solving Strict Polynomial Inequalities by Bernstein Expansion, in: Munro, N. (ed.), The Use of Symbolic Methods in Control System Analysis and Design, IEE London, Chapt. 14, 1999, pp. 339-351.
8. Hansen, E.: Global Optimization Using Interval Analysis, Marcel Dekker, New York, 1992.
9. Isermann, R.: Digital Control Systems, Springer-Verlag, 1989.
10. Malan, S., Milanese, M., and Taragna, M.: Robust Analysis and Design of Control Systems Using Interval Arithmetic, Automatica 33 (7) (1997), pp. 1363-1372.
11. Martín-Sánchez, J. M. and Rodellar, J.: Adaptive Predictive Control, Prentice Hall, 1995.
12. Martín-Sánchez, J. M. and Rodellar, J.: Adaptive Predictive Control: Limits of Stability, Int. Journal of Adaptive Control and Signal Processing 11 (1997), pp. 263-283.
13. Morari, M. and Zafiriou, E.: Robust Process Control, Prentice-Hall, 1989.
14. SIGLA/X: 1999, Modal Intervals, in: Prep. Workshop on Applications of Interval Analysis to Systems and Control. MISC99, Girona, Spain, pp. 139-210.
15. Vehí, J.: Analysis and Design of Robust Controllers by Means of Modal Intervals, PhD thesis, Universitat de Girona, Spain, 1998 (in Catalan).
16. Vehí, J., Armengol, J., Rodellar, J., and Sainz, M.: Using Interval Methods for Control Systems Design in the Parameter Space, in: 7th IFAC Symposium on Computer Aided Control Systems Design, Gent-Belgium, 1997, pp. 371-375.
17. Walter, E. and Jaulin, L.: Guaranteed Characterization of Stability Domains via Set Inversion, IEEE Trans. on Automatic Control 35 (1994), pp. 835-841.
18. Zettler, M. and Garloff, J.: Robustness Analysis of Polynomials with Polynomial Parameter Dependency Using Bernstein Expansion, IEEE Trans. on Aut. Control 43 (3) (1998), pp. 425-431.