Singularly perturbed uncertain systems and dynamic output feedback control
作者： E P Ryan , Z B Yaacob
DOI: 10.1007/BFB0041185
关键词: Measure (mathematics) 、 Control theory 、 Bounded function 、 Uncertain systems 、 Control (management) 、 Output feedback 、 Computer science 、 Class (set theory) 、 Singular perturbation 、 Drawback
摘要: A dynamic output feedback strategy is proposed for a class of uncertain systems. Using singular perturbation approach, threshold measure "fastness" the dynamics, to ensure overall system stability, derived. This calculable in terms known bounds on uncertainties but may be conservative practice. To circumvent this drawback and allow bounded with unknown bounds, an adaptive version then developed.
springer.com
springerlink.com参考文章(27)
Roger D. Nussbaum, Some remarks on a conjecture in parameter adaptive control Systems & Control Letters. ,vol. 3, pp. 243- 246 ,(1983) , 10.1016/0167-6911(83)90021-X
Christopher Byrnes, Alberto Isidori, A frequency domain philosophy for nonlinear systems, with applications to stabilization and to adaptive control The 23rd IEEE Conference on Decision and Control. ,vol. 23, pp. 1569- 1573 ,(1984) , 10.1109/CDC.1984.272345
M. Corless, G. Leitmann, Adaptive control of systems containing uncertain functions and unknown functions with uncertain bounds Journal of Optimization Theory and Applications. ,vol. 41, pp. 155- 168 ,(1983) , 10.1007/BF00934441
M. Corless, G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems IEEE Transactions on Automatic Control. ,vol. 26, pp. 1139- 1144 ,(1981) , 10.1109/TAC.1981.1102785
E.P. Ryan, Adaptive stabilization of a class of uncertain nonlinear systems: a differential inclusion approach Systems & Control Letters. ,vol. 10, pp. 95- 101 ,(1988) , 10.1016/0167-6911(88)90003-5
A. Steinberg, E. Ryan, Dynamic output feedback control of a class of uncertain systems IEEE Transactions on Automatic Control. ,vol. 31, pp. 1163- 1165 ,(1986) , 10.1109/TAC.1986.1104201
E. P. RYAN, M. CORLESS, Ultimate Boundedness and Asymptotic Stability of a Class of Uncertain Dynamical Systems via Continuous and Discontinuous Feedback Control Ima Journal of Mathematical Control and Information. ,vol. 1, pp. 223- 242 ,(1984) , 10.1093/IMAMCI/1.3.223
B. Barmish, G. Leitmann, On ultimate boundedness control of uncertain systems in the absence of matching assumptions IEEE Transactions on Automatic Control. ,vol. 27, pp. 153- 158 ,(1982) , 10.1109/TAC.1982.1102862
P.V. Kokotovic, R.E. O'Malley, P. Sannuti, Singular perturbations and order reduction in control theory - An overview Automatica. ,vol. 12, pp. 123- 132 ,(1976) , 10.1016/0005-1098(76)90076-5
B. Anderson, Exponential stability of linear equations arising in adaptive identification IEEE Transactions on Automatic Control. ,vol. 22, pp. 83- 88 ,(1977) , 10.1109/TAC.1977.1101406