Robust Semiglobal Stabilization of Minimum-Phase Input-Output Linearizable Systems via Partial State and Output Feedback

IEEE Transactions on Automatic Control

Volumn 40, Issue 6, 1995, Pages 1029-1041

  Lin, Zongli ^a   Saberi, Ali ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; FEEDBACK; LINEAR CONTROL SYSTEMS; LINEARIZATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

CONTINUOUS TIME VARYING SIGNAL; MINIMUM PHASE INPUT OUTPUT LINEARIZABLE SYSTEMS; SEMIGLOBAL PRACTICAL STABILIZATION; TEEL AND PRALY; ZERO DYNAMICS;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 0029321719     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.388680     Document Type: Article

References (26)

1. C. I. Byrnes and A. Isidori, “A frequency domain philosophy for nonlinear systems with applications to stabilization and adaptive control,” in Proc. 23rd CDC, 1984, pp. 1569-1573.
2. ——, “Local stabilization of minimum-phase nonlinear systems,” Syst. Contr. Lett. vol. 10, pp. 9-17, 1988.
3. ——, “Asymptotic stabilization of minimum phase nonlinear systems,” IEEE Trans. Automat. Contr., vol. 36, pp. 1123-1137, 1991.
4. W. P. Dayawansa, C. F. Martin, and G. Knowles, “A global nonlinear tracking problem,” in Proc. 29th CDC, 1990, pp. 1268-1271.
5. H. K. Khalil and F. Esfandiari, “Semiglobal stabilization of nonlinear system using output feedback,” in Proc. 31st CDC, 1992, pp. 3423-3428.
6. H. K. Khalil and A. Saberi, “Adaptive stabilization of a class of nonlinear systems using high-gain feedback,” IEEE Trans. Automat. Contr. vol. 32, pp. 1031-1035, 1987.
7. P. V. Kokotovic and H. J. Sussmann, “A positive real condition for global stabilization of nonlinear systems,” Syst. Contr. Lett., vol. 12, pp. 125-134, 1989.
8. J. Kurzweil, “On the inversion of Lyapunov's second theorem on stability of motion,” Am. Math. Soc. Transl., vol. 2, no. 24, pp. 19-77, 1956.
9. Z. Lin, “Global and semiglobal control problems for linear systems subject to input saturation and minimum-phase input-output linearizable systems,” Ph.D dissertation, Washington State Univ., May 1994.
10. Z. Lin and A. Saberi, “Semi-global stabilization of minimum phase nonlinear systems in special normal form via linear high-and-low gain state feedback,” Int. J. Robust and Nonlinear Contr., vol. 4, pp. 353-362, 1994.
11. ——, “Semi-global stabilization of partially linear composite systems via feedback of the state of the linear part,” Syst. Contr. Lett., vol. 20, pp. 199-207, 1993.
12. ——, “Semi-global stabilization of partially linear composite systems via linear dynamic state feedback,” Control-Theory and Advanced Technology, vol. 10, no. 3, pp. 447-463, 1994.
13. R. Marino, “High-gain feedback in nonlinear control systems,” Int. J. Contr., vol. 42, pp. 1369-1385, 1985.
14. F. Mazenc, L. Praly, and W. P. Dayawansa, “Examples and counterexamples on global stabilization by output feedback,” Syst. Contr. Lett., vol. 23, pp. 119-125, 1994.
15. A. Saberi and Z. Lin, “Adaptive high-gain stabilization of ‘minimumphase’ nonlinear systems,” Control-Theory and Advanced Technology, vol. 6, pp. 595-607, 1990.
16. A. Saberi, P. V. Kokotovic, and H. J. Sussmann, “Global stabilization of partially linear composite systems,” SIAM J. Contr. Optim., vol. 28, 1491-1503, 1990.
17. A. Saberi and P. Sannuti, “Time-scale structure assignment in linear multivariable systems using high-gain feedback,” Int. J. Contr., vol. 49, pp. 2191-2213, 1989.
18. ——, “Observer design for loop transfer recovery and dynamical systems,” IEEE Trans. Automat. Contr., vol. 35, 878-897, 1990.
19. P. Sannuti and A. Saberi, “A special coordinate basis of multivariable linear systems-finite and infinite zero structure, squaring down and decoupling,” Int. J. Contr., vol. 45, pp. 1655-1704, 1987.
20. E. D. Sontag, “Smooth stabilization implies coprime factorization,” IEEE Trans. Automat. Contr., vol. 34, pp. 435-443, 1989.
21. ——, “Further facts about input to state stabilization,” IEEE Trans. Automat. Contr., vol. 35, pp. 473-476, 1990.
22. H. J. Sussmann, “Limitations on the stabilizability of globally minimum phase systems,” IEEE Trans. Automat. Contr., vol. 35, pp. 117-119, 1990.
23. H. J. Sussmann and P. V. Kokotovic, “The peaking phenomenon and the global stabilization of nonlinear systems,” IEEE Trans. Automat. Contr., vol. 36, pp. 424-440, 1991.
24. A. R. Teel, “Feedback stabilization: Nonlinear solutions to inherently nonlinear problems,” Ph.D. dissertation, Univ. of California, Berkeley, 1992.
25. A. R. Teel and L. Praly, “Semi-global stabilization by linear, dynamic output feedback for SISO minimum phase nonlinear systems,” in Proc. 12th IFAC World Congress, Sydney, Australia, vol. 8, July 1993, pp. 39-42.
26. ——, “Tools for semi-global stabilization by partial state and output feedback,” SIAM J. Contr. Optim., to appear.