Robust stabilization of a delay system with saturating actuator or sensor

International Journal of Robust and Nonlinear Control

Volumn 10, Issue 7, 2000, Pages 579-590

  Bonnet, C ^a   Partington, J R ^b   Sorine, M ^a  

^a INRIA ROCQUENCOURT   (France)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CONTROL SYSTEM ANALYSIS; ROBUSTNESS (CONTROL SYSTEMS); SENSORS; SYSTEM STABILITY;

DELAY SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0033687908     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1239(200006)10:7<579::AID-RNC494>3.0.CO;2-L     Document Type: Article

References (24)

1. Paice ADB, Moore JB. On the Youla-Kucera parametrization for nonlinear systems. Systems and Control Letters 1990; 14:121-129.
2. Dasgupta S, Anderson BDO. A parametrization for the closed-loop identification of nonlinear time-varying systems. Automatica 1996; 32(10):1349-1360.
3. Hammer J. Internally stable nonlinear systems with disturbances: a parameterization. IEEE Transactions on Automatic Control 1994; 39(2):300-314.
4. Lu W-M. A state-space approach to parameterization of stabilizing controllers for nonlinear systems. IEEE Transactions on Automatic Control 1995; 40(9):1576-1588.
5. Paice ADB, van der Schaft AJ. The class of stabilizing nonlinear plant controller pairs. IEEE Transactions on Automatic Control 1996; 40(5):634-645.
6. Imura J-I, Yoshikawa T. Parametrization of all stabilizing controllers for nonlinear systems. Systems and Control Letters 1997; 29:207-213.
7. Linard N, Anderson B, De Bruyne F. Coprimeness properties of nonlinear fractional system realizations. Systems and Control Letters 1998; 34:265-271.
8. Sontag E. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control 1989; 34(4):435-443.
9. Baños A. Stabilization of nonlinear systems based on a generalized Bézout identity. Automatica 1996; 32(4):591-595.
10. Verma MS. Coprime fractional representations and stability of non-linear feedback systems. International Journal of Control 1988; 48:897-918.
11. Verma MS, Hunt LR. Right coprime factorizations and stabilization for nonlinear systems. IEEE Transactions on Automatic Control 1993; 38(2):222-231.
12. Georgiou TT, Smith MC. Robustness analysis of nonlinear feedback systems: an input-output approach. IEEE Transactions on Automatic Control 1997; 42(9):1200-1221.
13. Niculescu S-I, Dion J-M, Dugard L. Robust stabilization for uncertain time-delay systems containing saturating actuators. IEEE Transactions on Automatic Control 1996; 41(5):742-746.
14. Paice ADB, Moore JB. Robust stabilisation of nonlinear plants via left coprime factorizations. Systems and Control Letters 1990; 15:125-135.
15. Vidyasagar M. Control System Synthesis. MIT Press: Cambridge, MA, 1985.
16. Logemann H, Ryan EP, Townley S. Integral control of infinite-dimensional systems subject to input saturation. SIAM Journal of Control and Optimization 1998; 36(6):1940-1961.
17. Saberi A, Lin Z, Teel AR. Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control 1996; 41(3):368-378.
18. Bonnet C, Partington JR, Sorine M. Robust control and tracking of a delay system with discontinuous nonlinearity in the feedback. International Journal of Control 1999; 72:1354-1364.
19. Callier FM, Desoer CA. An algebra of transfer functions of distributed linear time-invariant systems. IEEE Transactions on Circuits and Systems 1978; 25:651-662.
20. Curtain RF, Zwart HJ. An introduction to Infinite Dimensional Linear Systems Theory. Springer: Berlin, 1995.
21. Georgiou TT, Smith MC. Metric uncertainty and nonlinear feedback stabilization. In Feedback Control, Nonlinear Systems, and Complexity, Lecture Notes in Control and Information Science, Vol. 202. Springer: Berlin, 1995; 88-98.
22. Partington JR, Glover K. Robust stabilization of delay systems by approximation of coprime factors. Systems and Control Letters 1990; 14:325-331.
23. Curtain RF. Robust stabilizability of normalized coprime factors - the infinite dimensional case. International Journal of Control 1990; 51(6):1173-1190.
24. 1 -optimal controllers for delay systems using a two-parameter compensator scheme. IEEE Transactions on Automatic Control 1999; 44(8):1512-1521.