Title :
Additive, multiplicative and inverse multiplicative robust stability: connections with the ν-gap metric
Author :
Anderson, Brian D O ; Brinsmead, Thornas
Author_Institution :
Dept. of Syst. Eng., Res. Sch. of Inf. Sci. & Eng., Canberra, ACT, Australia
Abstract :
Existing robust stability results based on the ν-gap metric can be extended by the introduction of various weighting functions. By appropriately specialising these weighting functions it is possible to recover earlier robust stability results based on additive, multiplicative and inverse multiplicative uncertainty models. In this tray it is demonstrated that some of these classical robustness conditions are a special case of the extended ν-gap robust stability tests
Keywords :
robust control; stability; ν-gap metric; additive uncertainty models; inverse multiplicative robust stability; multiplicative uncertainty models; robustness conditions; weighting functions; Control systems; Information analysis; Open loop systems; Robust control; Robust stability; Stability analysis; Systems engineering and theory; Testing; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980287
