Global robust H∞ control of a class of nonlinear systems

International Journal of Robust and Nonlinear Control

Volumn 7, Issue 1, 1997, Pages 75-84

  Nguang, Sing Kiong ^a,b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

H (infinity) control; Lyapanov; Nonlinear systems; Riccati equation

Indexed keywords

ATTENUATION; CONTROL NONLINEARITIES; FEEDBACK CONTROL; GAIN CONTROL; LYAPUNOV METHODS; MATHEMATICAL MODELS; RICCATI EQUATIONS; SYSTEM STABILITY;

DISTURBANCE ATTENUATION; LIPSCHITZ BOUNDED UNCERTAINTIES;

NONLINEAR CONTROL SYSTEMS;

EID: 0030736204     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199701)7:1<75::AID-RNC207>3.0.CO;2-0     Document Type: Article

References (12)

1. ∞ control', IEEE Trans. Automat. Contr., 37, 770-784 (1992).
2. ∞-control via measurement feedback in nonlinear systems', IEEE Trans. Automat. Contr., 37, 1283-1293 (1992).
3. Isidori, A., 'Feedback control of nonlinear systems', Proc. First European Contr. Conf, 1991, pp. 1001-1012.
4. ∞ control for nonlinear systems with output feedback', IEEE Trans. Automat. Contr., 38, 546-559 (1993).
5. Corless, M., G. Leitmann and E. P. Ryan, 'Tracking in the presence of bounded uncertainties', Proc. of the Fourth International Conference on Control Theory, Cambridge University, 1984, pp. 1-15.
6. Willems, J. C., 'Dissipative dynamical systems part I: general theory', Arch. Rational Mech. Anal., 45, 321-351 (1972).
7. Hill, D. J. and P. J. Moylan, 'Dissipative dynamical systems: basic input-output and state properties', J. Franklin Inst., 309, 327-357 (1980).
8. Hill, D. J. and P. Moylan, 'The stability of nonlinear dissipative systems', IEEE Trans. Automat. Contr., 21, 708-711 (1976).
9. Nguang, S. K. and M. Fu, 'Robust control of systems with both norm bounded and nonlinear uncertainties', Proc. 32nd IEEE Conf. Decision Contr., 1993, pp. 2561-2566.
10. ∞ control for linear systems with norm bounded time-varying uncertainty', IEEE Trans. Automat. Contr., 37, 1188-1191 (1992).
11. Leitmann, G., 'Guaranteed asymptotic stability for some linear systems with bounded uncertainties', J. of Dynamic Systems Measurement and Control, 101, 212-216 (1979).
12. Corless, M. and G. Leitmann, 'Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems', IEEE Trans. Automat. Contr., 26, 1139-1143 (1981).