Advanced nonlinear control: Input-output and Lyapunov approaches

Chinese Control and Decision Conference, 2008, CCDC 2008

Volumn , Issue , 2008, Pages 38-39

  Jiang, Zhong Ping ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Advanced nonlinear control; Input output approaches; Lyapunov approaches

Indexed keywords

AEROSPACE ENGINEERING; CHLORINE COMPOUNDS; CONTROL SYSTEM ANALYSIS; CONTROL THEORY; DELAY CONTROL SYSTEMS; IDENTIFICATION (CONTROL SYSTEMS); LARGE SCALE SYSTEMS; TELECOMMUNICATION NETWORKS;

ADVANCED NONLINEAR CONTROL; BIOLOGICAL NETWORKS; CHEMICAL-; COMPLEX SYSTEMS; DYNAMICAL CONTROL SYSTEMS; INPUT-OUTPUT; INPUT-OUTPUT APPROACHES; LYAPUNOV; LYAPUNOV APPROACHES; NETWORKED CONTROL SYSTEMS; NON-LINEAR CONTROL; NON-LINEAR DELAY; SWITCHED SYSTEMS;

CONTROL SYSTEMS;

EID: 52349124360     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2008.4597266     Document Type: Conference Paper

References (25)

1. S. Bhat and D. Bernstein, Finite-Time stability of continuous autonomous systems, SIAM J. Control and Optimization, vol. 38, pp. 751-766, 2000.
2. C. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties, Academic Press, New York, 1975.
3. R. Freeman and P. Kokotovic, Robust Nonlinear Control Design, Boston, MA: Birkhauser, 1996.
4. A. Isidori, Nonlinear Control Systems. vol. II. Springer-Verlag, 1999.
5. Y. Hong and Z. P. Jiang, Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties, IEEE Trans. Automatic Control, vol. 51, no. 12, pp. 1950-1956, 2006.
6. Y. Hong, Z. P. Jiang and G. Feng, Finite-time input-to-state stability and applications to finite-time control design. Submitted for publication. A short version was presented at the 2007 Chinese Control Conference (CCC'07), July 2007.
7. J. Huang, Nonlinear Output Regulation: Theory and Applications, SIAM, 2004.
8. H. Ito and Z. P. Jiang, Sufficient and necessary small-gain conditions for integral input-to-state stable systems: A Lyapunov perspective. Submitted for publication. A short version was presented at 2007 IEEE CDC, Dec. 2007.
9. Z. P. Jiang, A. Teel, and L. Praly, Small-gain theorem for ISS systems and applications, Mathematics of Control, Signals, and Systems, 7(1994), pp. 95-120.
10. Z. P. Jiang, I. Mareels, and Y. Wang, A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica, 32(1996), pp. 1211-1215.
11. Z. P. Jiang and I. Mareels, A small-gain control metho for nonlinear cascaded systems with dynamic uncertainties, IEEE Trans. Automat. Control, 42(1997), pp. 292-308.
12. Z. P. Jiang and L. Praly, Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties, Automatica, vol. 34, pp. 835-840, 1998.
13. Z. P. Jiang and I. Mareels, Robust nonlinear integral control, IEEE Trans. Automatic Control, vol. 46, pp. 1336-1342, 2001.
14. H. Khalil, Nonlinear Systems, 3rd ed., Upper Saddle River: Prentice Hall, 2002.
15. P. V. Kokotović and M. Arcak, Constructive nonlinear control: a historical perspective, Automatica, vol. 37, no. 5, pp. 637-662, 2001.
16. M. Krstić, I. Kanellakopoulos, and P. Kokotović. Nonlinear and Adaptive Control Design, John Wiley, New York, 1995.
17. R. Marino and P. Tomei, Nonlinear Control Design: Geometric, Adaptive, Robust, New York, Prentice Hall, 1995.
18. D. Nesic and A. R. Teel, Input to state stability of networked control systems, Automatica, vol. 40, pp. 2121-2128, 2004.
19. Y. Orlov, Finite time stability and robust control synthesis of uncertain switched systems, SIAM J. Control Optim., vol. 43, pp. 1253-1271, 2005.
20. L. Praly, B. d'Andrea-Novel and J.M. Coron, Lyapunov design of stabilizing controllers for cascaded systems, IEEE Trans. Automatic Control, vol. 36, pp. 1177-1181, 1991.
21. J. M. Coron and L. Praly, Adding one integrator for the stabilization problem, Syst. Contr. Lett., vol. 17, pp. 89-104, 1991.
22. M. Tzamtzi and J. Tsinias, Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization, Syst. Contr. Lett., vol. 38, pp. 115-126, 1999.
23. E. D. Sontag, On the input-to-state stability property, European J. Control, vol. 1, pp. 24-36, 1995.
24. E. D. Sontag and Y. Wang, New characterizations of input to state stability, IEEE Trans. Automatic Control, vol. 41, pp. 1283-1294, 1996.
25. J. Tsinias, Partial-state global stabilization for general triangular systems, Syst. Contr. Lett., vol. 24, pp. 139-145, 1995.