Simplex-type variable structure controllers for systems with non-matching disturbances and uncertainties

International Journal of Control

Volumn 68, Issue 3, 1997, Pages 625-656

  Diong, B M ^a   Medanic, J V ^b  

^a UNIVERSITY OF TEXAS PAN AMERICAN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; FEEDBACK; ROBOTIC ARMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; VECTORS;

DISTURBANCE; NORM BOUNDING APPROACH; UNCERTAINTY; VARIABLE STRUCTURE CONTROL;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 0031250312     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223550     Document Type: Article

References (21)

1. Astorga, J., 1990, Robust low-order control of flexible joint manipulators. Ph.D. thesis, University of Illinois, Urbana, Illinois, U.S.A.
2. Baida, S. V., and Izosimov, D. B., 1985, Vector method of design of sliding motion and simplex algorithms. Automation and Remote Control, 46, 830-837.
3. Chen, C. T., 1984, Linear System Theory and Design (New York: Holt, Rinehart and Winston).
4. DeCarlo, R., Zak, S., and Matthews, G. P., 1988, Variable structure control of nonlinear multivariable systems: A tutorial. Proceedings of the Institute of Electrical and Electronics Engineers, 76, 212-232.
5. Diong, B. M., 1992, Simplex-type variable structure controllers for stability and performance. Ph.D. thesis, University of Illinois, Urbana, Illinois, U.S.A.
6. Diong, B. M., and Medanic, J. V., 1992, Dynamic output feedback variable structure control for system stabilization. International Journal of Control, 56, 607-630.
7. w control problems. IEEE Transactions on Automatic Control, 34, 831-847.
8. Draz enovic, B., 1969, The invariance conditions in variable structure systems. Automatica, 5, 287-293.
9. Emelyanov, S. V., Korovin, S. K., Nersisyan, A. L., and Nisenzon, Y. Y., 1992, Discontinuous output feedback stabilizing and uncertain MIMO plant. International Journal of Control, 55, 83-107.
10. O’ Reilly, J., 1983, Observers for Linear Systems (London: Academic Press Inc.).
11. Petersen, I. R., Anderson, B. D. O., and Jonckheere, E. A., 1991, A first principles solution to the non-singular control problem. International Journal of Robust and Nonlinear Control, 1, 171-185.
12. Skelton, R. E., Stoustrup, J., and Iwasaki, T., 1994, The H»-control problem using static output feedback. International Journal of Robust and Nonlinear Control, 4, 449-455.
13. Spurgeon, S. K., and Davies, R., 1993, A nonlinear control strategy for robust sliding mode performance in the presence of unmatched uncertainty. International Journal of Control, 57, 1107-1124.
14. Stoorvogel, A. A., and Trentelman, H. L., 1990, The quadratic matrix inequality in singular Hoo-control with state feedback. SIAM Journal of Control and Optimization, 28, 1190-1208.
15. Utkin, V. I., 1977, Variable structure systems with sliding modes. IEEE Transactions on Automatic Control, 22, 212-222; 1978, Sliding Modes and their Application in Variable Structure Systems (Moscow: Mir).
16. Veillette, R. J., Medanic, J. V., and Perkins, W. R., 1989, Robust stabilization and disturbance rejection for systems with structured uncertainty. Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, Florida, U.S.A., 13-15 December.
17. Willems, J. C., 1971, Least-squares stationary optimal control and the algebraic Riccati equation. IEEE Transactions on Automatic Control, 16, 621-633.
18. Xie, L., and DeSouza, C. E., 1991, Robust control for class of uncertain linear timeinvariant systems. Proceedings of the Institution of Electrical Engineers, Pt. D, 138, 479-483.
19. Young, K. D., 1977, Analysis and synthesis of high gain and variable structure feedback systems. Ph.D. thesis, University of Illinois, Urbana, Illinois, U.S.A.
20. Young, K. D., 1982, Disturbance decoupling by high gain feedback. IEEE Transaction on Automatic Control, 27, 970-971.
21. Zhou, K., and Khargonekar, P. P., 1988, An algebraic Riccati equation approach to Ho optimization. Systems and Control Letters, 11, 85-91.