Digital control of nonlinear systems: Optimal linearisation-based digital redesign approach

IET Control Theory and Applications

Volumn 2, Issue 4, 2008, Pages 337-351

  Lee, H J ^a   Shieh, L S ^b   Kim, D W ^c  

^a Inha University   (South Korea)

^b UNIVERSITY OF HOUSTON   (United States)

^c Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIGITAL CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; STATE FEEDBACK; SYSTEMS ANALYSIS;

DIGITAL REDESIGN APPROACH; STATE-MATCHING SENSE;

NONLINEAR SYSTEMS;

EID: 42549119463     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20070074     Document Type: Article

References (22)

1. Åström, K.J., and Wittenmark, B.: ' Computer controlled systems: theory and design ', (Prentice-Hall, 1977)
2. Chen, T., and Francis, B.: ' Optimal sampled-data control systems ', (Springer-Verlag, Berlin, Germany, 1995)
3. Laila, D.S.: ' Design and analysis of nonlinear sampled-data control systems ', 2003, Ph.D, University of Meobourne
4. Clarke, D.W., and Maslen, S.P.: ' Discretising controllers with slow sampling ', IET Control Theory Appl., 2007, 1, (3), p. 624-635 10.1049/iet-cta:20060208
5. Lee, H.J., Park, J.B., and Joo, Y.H.: ' Further refinement on LMI-based digital redesign: delta-operator approach ', IEEE Trans. Circuits Syst. II, 2006, 53, (6), p. 473-477 10.1109/TCSII.2006.870550 1057-7130
6. Lee, H.J., Park, J.B., and Joo, Y.H.: ' Digitalizing a fuzzy observer-based output-feedback control: intelligent digital redesign approach ', IEEE Trans. Fuzzy Syst., 2005, 13, (5), p. 701-716 10.1109/TFUZZ.2005.856556 1063-6706
7. Guo, S.M., Shieh, L.S., Chen, G., and Lin, C.F.: ' Effective chaotic orbit tracker: a prediction-based digital redesign approach ', IEEE Trans. Circuits Syst. I, 2000, 47, (11), p. 1557-1570 10.1109/81.895324 1057-7122
8. Chang, W., Park, J.B., Lee, H.J., and Joo, Y.H.: ' LMI approach to digital redesign of linear time-invariant systems ', IEE Proc.-Control Theory Appl., 2002, 149, p. 297-302 10.1049/ip-cta:20020430
9. Shieh, L.S., Wang, W.M., Bain, J., and Sunkel, J.: ' Design of lifted dual-rate digital controller for X-38 vehicle ', J. Guid. Control Dyn., 2000, 23, p. 629-639 0731-5090
10. Joo, Y.H., Shieh, L.S., and Chen, G.: ' Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems ', IEEE Trans. Fuzzy Syst., 1999, 7, (4), p. 394-408 10.1109/91.784199 1063-6706
11. Sunkel, J.W., Shieh, L.S., and Zhang, J.L.: ' Digital redesign of an optimal momentum management controller for the space station ', J. Guid. Control Dyn., 1991, 14, (4), p. 712-723 0731-5090
12. Rabbath, C.A., and Hori, N.: ' Reduced-order PIM methods for digital redesign ', IEE Proc.-Control Theory Appl., 2003, 150, (4), p. 335-346 10.1049/ip-cta:20030633
13. Rabbath, C.A., Lechevin, N., and Hori, N.: ' Optimal dual-rate digital redesign with closed-loop order reduction ', IEE Proc.-Control Theory Appl., 2005, 152, (5), p. 489-498 10.1049/ip-cta:20045141
14. Rosenvasser, Y., Polyakov, K., and Lampe, B.: ' Application of Laplace transformation for digital redesign of continuous control systems ', IEEE Trans. Autom. Control, 1999, 44, (4), p. 883-886 10.1109/9.754840 0018-9286
15. Nešić, D., Teel, A., and Kokotović, P.: ' Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations ', Syst. Control Lett., 1999, 38, p. 259-270 10.1016/S0167-6911(99)00073-0 0167-6911
16. Apkarian, P.: ' On the discretisation of LMI-synthesized linear parameter-varying controllers ', Automatica, 1997, 33, (4), p. 655-661 0005-1098
17. Zak, S.H.: ' Systems and control ', (Oxford University Press, 2003)
18. Seron, M.M., Braslavsky, S.J., and Goodwin, G.C.: ' Fundamental limitations in filtering and control ', (Springer-Verlag, 1997)
19. Nicolao, G., Magni, L., and Scattolini, R.: ' Stabilizing receding-horizon control of nonlinear time-varying systems ', IEEE Trans. Autom. Control, 1998, 43, (7), p. 1030-1036 10.1109/9.701133 0018-9286
20. Dabroom, A., and Khalil, H.: ' Output feedback sampled-data control of nonlinear systems using high-gain observers ', IEEE Trans. Autom. Control, 2001, 46, (11), p. 1712-1725 10.1109/9.964682 0018-9286
21. Qu, Z.: ' Robust control of nonlinear uncertain systems ', (Wiley, 1998)
22. Krstić, M., and Tsiotras, P.: ' Inverse optimal stabilization of a rigid spacecraft ', IEEE Trans. Autom. Control, 1999, 44, (5), p. 1042-1049 10.1109/9.763225 0018-9286