H∞ almost disturbance decoupling with stability for uncertain nonlinear systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 652-657

  Jiang, Dan Chi ^a   Jiang, Zhong Ping ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Backstepping; Feedback stabilization; L2 gain; Nonlinear H control

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK; NONLINEAR CONTROL SYSTEMS; NONLINEAR FEEDBACK; STATE FEEDBACK;

ALMOST DISTURBANCE DECOUPLING; BACKSTEPPING TECHNIQUE; FEEDBACK STABILIZATION; GLOBAL ASYMPTOTIC STABILITY; NONLINEAR H; PARTIAL STATE FEEDBACK; SINGLE INPUT SINGLE OUTPUT; UNCERTAIN NONLINEAR SYSTEMS;

BACKSTEPPING;

EID: 84949103259     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. J. C. Willems, "Almost invariant subspaces: an approach to high gain feedback design-part I: almost controlled invariant subspaces", IEEE Trans. Automat. Contr. Vol. AC-26, pp. 235-252, (1981).
2. ∞ control with state feedback", SIAM Journal of Control and Optimization, Vol. 28, No. 5, pp. 1190-1208, (1990).
3. A. Isidori, "A note on almost disturbance decoupling for nonlinear minimum phase systems". Syst. Contr. Lett. 27:191-194, (1996).
4. R. Marino, W. Respondek, A. J. Van der Schaft, "Almost disturbance decoupling for single-input singleoutput nonlinear systems", IEEE Trans. Autom. Contr., Vol. AC-34, pp. 1013-1017, (1989).
5. ∞ almost disturbance decoupling", Syst. Contr. Lett. 23:159-168, (1994).
6. J. Tsinias, "Remarks on partial-state linear feedback and dynamic stabilization for systems with Lipschitzian dynamics". Preprint. (1994).
7. A. Isidori, "Global almost disturbance decoupling with stability for non minimum-phase single-input single-output nonlinear systems", Syst. Contr. Lett., 28, 115-122, (1996).
8. ∞ control", IEEE trans. Autom. Contr., Vol. AC-37, pp. 770-784, (1992).
9. 2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences, Vol. 218, Springer-Verlag, (1996).
10. J. C. Willems, "Dissipative dynamical systems, part I and II", Arch. Rational Mechanics and Analysis, vol. 45, pp. 321-393, (1972).
11. D. J. Hill and P. J. Moylan, "Dissipative dynamical systems: basic input-output and state properties", J. of Franklin Institute, vol. 309, no. 5, pp. 327-357, (1980).
12. E. D. Sontag, "Further facts about input to state stabilization", IEEE Trans. Autom. Contr., Vol. AC-35, pp. 473-476, (1990).
13. Z.-P. Jiang, A. Teel, and L. Praly, "Small-gain theorem for ISS systems and applications", Mathematics of Control, Signals, and Systems, vol. 7, pp. 95-120, (1994).
14. L. Praly and Z.-P. Jiang, Stabilization by output feedback for systems with ISS inverse dynamics, Systems & Control Letters, vol. 21, pp. 19-33, (1993).
15. A. Isidori, Nonlinear Control Systems, 3rd ed., London: Springer-Verlag, (1995).
16. M. Krstic, I. Kanellakopoulos, P. Kokotovic, Nonlinear and Adaptive Control Design, John Wiley (New York), (1995).
17. C. I. Byrnes A. Isidori, "New results and examples in nonlinear feedback stabilization", Syst. Contr. Lett. vol. 12, pp. 437-442, (1989).
18. J. Tsinias, "Sufficient Lyapunov-like conditions for stabilization", Mathematics of Control, Signals, and Systems, vol. 2, pp. 343-357, (1989).