Universal 1, W 1,∞ -tracking for a class of nonlinear systems

作者: E.P. Ryan

DOI: 10.1016/0167-6911(92)90006-E

关键词: Linear systemNonlinear systemSobolev spaceMathematicsMinimum phaseControl theoryAdaptive controlClass (set theory)Differential inclusionControl theory

摘要: An adaptive output feedback strategy, incorporating gains of Nussbaum type, is described and shown to be a universal tracking controller for class nonlinearly-perturbed, minimum-phase, linear systems with reference signals r:R → Rm Sobolev W1,∞.

参考文章(14)
J. C. Willems, G. I. Byrnes, Global adaptive stabilization in the absence of information on the sign of the high frequency gain Springer, Berlin, Heidelberg. pp. 49- 57 ,(1984) , 10.1007/BFB0004944
U. Helmke, D. Prätzel-Wolters, S. Schmid, Adaptive Tracking for Scalar Minimum Phase Systems Birkhäuser Boston. pp. 101- 117 ,(1990) , 10.1007/978-1-4757-2108-9_6
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
GANG TAO, PETROS A. IOANNOU, Robust adaptive control of plants with unknown order and high frequency gain International Journal of Control. ,vol. 53, pp. 559- 578 ,(1991) , 10.1080/00207179108953635
E.P. Ryan, A universal adaptive stabilizer for a class of nonlinear systems Systems & Control Letters. ,vol. 16, pp. 209- 218 ,(1991) , 10.1016/0167-6911(91)90050-O
Achim Ilchmann, David H. Owens, Adaptive stabilization with exponential decay Systems & Control Letters. ,vol. 14, pp. 437- 443 ,(1990) , 10.1016/0167-6911(90)90095-C
A Ilchmann, D.H Owens, D Prätzel-Wolters, High-gain robust adaptive controllers for multivariable systems Systems & Control Letters. ,vol. 8, pp. 397- 404 ,(1987) , 10.1016/0167-6911(87)90077-6