Constructive Lyapunov stabilization of nonlinear cascade systems

IEEE Transactions on Automatic Control

Volumn 41, Issue 12, 1996, Pages 1723-1735

  Jankovic, Mrdjan ^a,b   Sepulchre, Rodolphe ^a,c   Kokotovic, Petar V ^a,c  

^a IEEE

^b FORD RESEARCH LABORATORY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; FUNCTION EVALUATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS;

GLOBAL ASYMPTOTIC STABILIZATION; NONLINEAR CASCADE SYSTEMS; NONLINEAR FEEDFORWARD SYSTEMS; STABILIZING CONTROL LAW;

CASCADE CONTROL SYSTEMS;

EID: 0030413468     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.545712     Document Type: Article

References (23)

1. C. I. Byrnes, A. Isidori, and J. C. Willems, "Passivity, feedback equivalence, and the global stabilization of minimum phase systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1228-1240, 1991.
2. S. T. Glad, "Robustness of nonlinear state feedback - A survey," Automatica, vol. 23, pp. 425-435, 1987.
3. W. Hahn, Stability of Motion. Berlin: Springer-Verlag, 1967.
4. D. H. Jacobson, Extensions of Linear-Quadratic Control, Optimization and Matrix Theory. New York: Academic, 1977.
5. M. Jankovic, D. Fontaine, and P. V. Kokotovic, "TORA example: Cascade and passivity based control designs," in Proc. Automat. Contr. Conf., Seattle, WA, 1995, pp. 4347-4352;
6. also IEEE Trans. Contr. Syst. Technology, vol. 4, pp. 292-297, 1996.
7. M. Jankovic, R. Sepulchre, and P. V. Kokotovic, "Adaptive control of nonlinear cascade systems," in Proc. IFAC, San Francisco, CA, 1996;
8. also Automatica, to appear.
9. V. Jurdjevic and J. P. Quinn, "Controllability and stability," J. Differential Equations, vol. 28, pp. 381-389, 1987.
10. P. V. Kokotovic and H. J. Sussmann, "A positive real condition for global stabilization of nonlinear systems," Syst. Contr. Lett., vol. 13, pp. 125-133, 1989.
11. K. K. Lee and A. Arapostathis, "Remarks on smooth feedback stabilization of nonlinear systems," Syst. Contr. Lett., vol. 10, pp. 41-44, 1988.
12. W. Lin, "Input saturation and global stabilization by output feedback for affine systems," in Proc. 33rd CDC, Lake Buena Vista, FL, 1994, pp. 1323-1328.
13. F. Mazenc and L. Praly, "Adding an integration and global asymptotic stabilization of feedforward systems," in Proc. 33rd CDC, Lake Buena Vista, FL, 1994, pp. 121-126;
14. also IEEE Trans. Automat. Contr., to appear.
15. A. Saberi, P. V. Kokotovic, and H. J. Sussmann, "Global stabilization of partially linear composite systems," SIAM J. Contr. Optimization, vol. 28, no. 6, pp. 1491-1503, 1990.
16. R. Sepulchre, M. Jankovic, and P. V. Kokotovic, "Integrator forwarding: A new recursive nonlinear robust design," in Proc. IFAC '96, San Francisco, CA;
17. also Automatica, to appear.
18. E. D. Sontag, "Remarks on stabilization and input-to-state stability," in Proc. 28th CDC, 1989, pp. 1396-1378.
19. H. J. Sussmann and P. V. Kokotovic, "The peaking phenomenon and the global stabilization of nonlinear systems," IEEE Trans. Automat. Contr., vol. 36, pp. 424-439, 1991.
20. A. R. Teel, "Using saturation to stabilize a class of single-input partially linear composite systems," in Proc. IFAC NOLCOS, Bordeaux, France, 1992. New York: Pergamon, pp. 379-384.
21. _, "Semi-global stabilization of minimum phase nonlinear systems in special normal forms," Syst. Contr. Lett., vol. 19, pp. 187-192, 1992.
22. J. N. Tsitsiklis and M. Athans, "Guaranteed robustness properties of multivariable nonlinear stochastic optimal regulators," IEEE Trans. Automat. Contr., vol. 29, pp. 690-696, 1984.
23. C.-J. Wan, "Global stabilization of nonlinear gyroscopic systems," Ph.D. dissertation, Univ. Michigan, Ann Arbor, 1994.