Title :
Gap metrics, representations, and nonlinear robust stability
Author :
James, M.R. ; Smith, M.C. ; Vinnicombe, G.
Author_Institution :
Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
Various alternative definitions for the nonlinear L2 and ν-gap metrics are studied. The concept of β-conjugacy and multiplicative homogeneity are introduced to relate the metrics to each other and to compare the stability margins of nonlinear feedback loops expressed in terms of the norms of complementary parallel projections. Left and right representations for the graph of a nonlinear system are studied. A new definition of “normalized” is introduced for left representations. Formulas for the gap metrics as the norm of the product of left and right representations are derived
Keywords :
control system synthesis; feedback; nonlinear control systems; robust control; uncertain systems; β-conjugacy; gap metrics; left representations; multiplicative homogeneity; nonlinear feedback loops; nonlinear robust stability; right representations; stability margins; Australia; Concurrent computing; Ear; Feedback loop; Image generation; Kernel; Nonlinear systems; Robust control; Robust stability; Robustness;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914262
