Robust output feedback stabilization via a small gain theorem

International Journal of Robust and Nonlinear Control

Volumn 8, Issue 3, 1998, Pages 211-229

  Battilotti, S ^a  

^a Dipartimento di Informatica e Sistemistica   (Italy)

Author keywords

Dynamic output feedback; Lyapunov functions; Robust stabilization; Small gain theorem

Indexed keywords

FEEDBACK CONTROL; FUNCTIONS; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THEOREM PROVING;

LYAPUNOV FUNCTIONS; SMALL GAIN THEOREM; UNCERTAIN SYSTEMS;

CONTROL SYSTEM SYNTHESIS;

EID: 0032027952     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199803)8:3<211::AID-RNC256>3.0.CO;2-9     Document Type: Article

References (18)

1. Praly, L. and Z. P. Jiang, 'Stabilization by output feedback for systems with ISS inverse dynamics', Syst. Contr. Lett., 21, 19-33 (1993).
2. Marino, R. and P. Tomei, 'Global adaptive output-feedback control of nonlinear systems, part I: linear parametrization', IEEE Transactions on Automatic Control, 38, 17-32 (1993).
3. Marino, R. and P. Tomei, 'Global adaptive output-feedback control of nonlinear systems, part II: nonlinear parametrization', IEEE Transactions on Automatic Control, 38, 33-48 (1993).
4. Kannellakopoulos, I., P. V. Kokotovic and A. S. Morse, 'Adaptive output- feedback control of systems with output nonlinearities', IEEE Transactions on Automatic Control, 11, 1666-1681 (1992).
5. Praly, L., 'Lyapunov design of a dynamic output feedback for systems linear in their unmeasured state components', Proc. NOLCOS, 1992, pp. 31-36.
6. Pomet, J. B., R. M. Hirshorn and W. A. Cebuhar, 'Dynamic output feedback regulation for a class of nonlinear systems', Math. Contr. Sign. Syst., 6, 106-124 (1993).
7. Teel, A. and L. Praly, 'On output feedback stabilization for systems with ISS inverse dynamics and uncertainties', Proc. 32nd IEEE Conf. Dec. Contr., 1993, pp. 1942-1947.
8. Khalil, H. and A. Saberi, 'Adaptive stabilization of a class of nonlinear systems using high gain feedback', IEEE Transactions on Automatic Control, 32, 83-92 (1987).
9. Sontag, E. and Y. Wang, 'Notions equivalent to input-to-state stability', Proc. 33rd Conf. Dec. Contr., Orlando, FL, 1994, pp. 3438-3443.
10. Jiang, Z. P., A. Teel and L. Praly, 'Small gain theorem for ISS systems and applications', Math. Contr. Sign. Syst., 7, 104-130 (1994).
11. Jiang, Z. P., I. Mareels and Y. Wang, 'A Lyapunov formulation of nonlinear small gain theorem for interconnected systems', Proc. IFAC NOLCOS, 1995.
12. Battilotti, S, 'Global output regulation and disturbance attenuation with global stability via measurement feedback for a class of nonlinear systems', IEEE Transactions on Automatic Control, 41, 315-327 (1996).
13. Battilotti, S., 'Sufficient conditions for global robust stabilization via measurement feedback for some classes of nonlinear systems', Proc. 33rd Conf. Decision and Control., Lake Buena Vista, FL, 1994, pp. 808-813.
14. Teel, A. and L. Praly, 'Tools for semiglobal stabilization by partial state and output feedback', SIAM Journal of Control and Optimization, 1996.
15. Khalil, H. K., 'Robust servomechanism output feedback controllers for feedback linearization systmes', Automatica, 10, 1587-1599 (1994).
16. Battilotti, S., 'New output feedback controllers for semiglobal robust stabilization of nonlinear minimum phase systems', Proc. European Control Conference, 1995, pp. 3041-3047.
17. Battilotti, S., L. Lanari and R. Ortega, 'A unified approach to global set point control for rigid and elastic joint robots', Proc. IFAC World Congress, 1996, pp. 55-61.
18. Byrnes, C. I. and A. Isidori, 'Asymptotic stabilization of minimum phase nonlinear systems', IEEE Transactions on Automatic Control, 36, 1122-1137 (1991).