Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation

International Journal of Control

Volumn 72, Issue 12, 1999, Pages 1078-1086

  Lin, Wei ^a   Li, Xunjing ^b  

^a Case Western Reserve University   (United States)

^b FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; FEEDBACK; FUNCTIONS; LINEAR SYSTEMS; MATHEMATICAL MODELS; SET THEORY;

MARGINALLY UNSTABLE LINEAR SYSTEMS; STATE DEPENDENT SATURATION; UPPER TRIANGULAR NONLINEAR SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0033169564     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071799220434     Document Type: Article

References (14)

1. Barbu, C, Sepulchre, R., Lin, W, and KoKOTovIí, P. V., 1997, Global asymptotic stabilization of the ball-and-beam system. Proceedings of the 36th IEEE CDC, San Diego, USA, pp. 2351-2355.
2. Byrnes, C. I., and Isidori, A., 1989, New results and examples in nonlinear feedback stabilization. Systems & Control Letters, 12, 437-442.
3. Byrnes, C. I., and Isidori, A., 1991, Asymptotic stabilization of minimum phase nonlinear systems. IEEE Transactions Automatic Control, 36, 1122-1137.
4. Isidori, A., 1995, Nonlinear Control Systems, 3rd edn (New York: Springer-Verlag).
5. Lin, W., 1995, Bounded smooth state feedback and a global separation principle for non-affine non-linear systems. Systems & Control Letters, 26, 41-53.
6. Lin, W, 1996, Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback. Automatica, 32, 915-924.
7. Lin, W., and Li, X., 1998, Global stabilization of nonlinear systems with marginally unstable free dynamics by small controls. Proceedings of 1998 American Control Conference, Philadelphia, Pennsylvania, USA, June, pp. 303-307.
8. Lin, Z., and SAberi, A., 1992, Semi-global stabilization of minimum-phase nonlinear systems in special normal form via high-gain and low-gain state feedback. Proceedings of 31st IEEE CDC, Tucson, Arizona, USA, pp. 2482-2486.
9. MAzenc, F., and Praly, L, 1996, Adding integrations, saturated controls, and stabilization for feedforward systems. IEEE Transactions on Automatic Control, 41, 1559-1578.
10. Sepulchre, R., Jankovic, M, and Kokotovic, P., 1997, Constructive Nonlinear Control (Springer-Verlag).
11. Sussmann, H. J., Scntag, E. D., and Yang, Y., 1994, A general result on the stabilization of linear systems using bounded controls. IEEE Transactions on Automatic Control, 39, 2411-2425.
12. Teel, A. R., 1992, Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems & Control Letters, 18, 1992, 165-171.
13. Teel, A. R., 1996, A nonlinear small gain theorem for the analysis of control systems with saturation. IEEE Transactions on Automatic Control, 41, 1256-1270.
14. Tsinias, J., 1989, Sufficient Lyapunov-like conditions for stabilization. Math. Contr. Signals. Syst., 2, 343-357