Robust nonlinear control of feedforward systems with unmodeled dynamics

Automatica

Volumn 37, Issue 2, 2001, Pages 265-272

  Arcak, Murat ^a   Teel, Andrew ^a   Kokotović, Petar ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THEOREM PROVING;

GLOBAL ASYMPTOTIC STABILITY (GAS); LOCAL EXPONENTIAL STABILITY (LES);

NONLINEAR CONTROL SYSTEMS;

EID: 0035152112     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(00)00138-2     Document Type: Article

References (12)

1. Janković M., Sepulchre R., Kokotović P.V. Constructive Lyapunov stabilization of nonlinear cascade systems. IEEE Transactions on Automatic Control. 41:1996;1723-1736.
2. Jiang Z.-P., Mareels I. A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. IEEE Transactions on Automatic Control. 42:1997;292-308.
3. Jiang Z.-P., Teel A.R., Praly L. Small-gain theorem for ISS systems and applications. Mathematics of Control. , Signals and Systems 7:1994;95-120.
4. Krstić M., Sun J., Kokotović P. Robust control of nonlinear systems with input unmodeled dynamics. IEEE Transactions on Automatic Control. 41:1996;913-920.
5. Mazenc F., Praly L. Adding integrations, saturated controls and stabilization for feedforward systems. IEEE Transactions on Automatic Control. 41:1996;1559-1578.
6. Praly, L., & Jiang, Z. -P. (1998). Further results on robust semiglobal stabilization with dynamic input uncertainties. In Proceedings of the 37th IEEE conference on decision and control, Tampa, FL (pp. 891-897).
7. Praly L., Wang Y. Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability. Mathematics of Control. , Signals and Systems 9:1996;1-33.
8. Sepulchre R., Janković M., Kokotović P. Constructive nonlinear control. 1997;Springer, New York.
9. Sontag E.D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control. 34:1989;435-443.
10. Teel, A. R. (1992). Using saturation to stabilize a class of single-input partially linear composite systems. Preprints of the second IFAC nonlinear control systems design symposium, Bordeaux, France (pp. 224-229).
11. Teel A.R. A nonlinear small gain theorem for the analysis of control systems with saturation. IEEE Transactions on Automatic Control. 41(9):1996;1256-1271.
12. Zhang Y., Ioannou P.A. Robustness of nonlinear control systems with respect to unmodeled dynamics. IEEE Transactions on Automatic Control. 44:1999;119-124.