Title :
Minimizing the sensitivity integral
Author :
Halpern, M.E. ; Evans, R.J.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
fDate :
6/21/1905 12:00:00 AM
Abstract :
In this paper we present two new results on Bode type integrals. Firstly we obtain, for a given scalar or multivariable continuous-time plant, the infimum of the Bode sensitivity integral which can be obtained with any stabilizing controller. The result involves the unstable plant poles and, perhaps surprisingly, a subset of the plant nonminimum phase zeros. Secondly, we obtain an apparently new expression for the Bode integral for the complementary sensitivity for a stable discrete-time scalar system
Keywords :
Bode diagrams; continuous time systems; discrete time systems; multivariable control systems; sensitivity analysis; Bode type integrals; complementary sensitivity; multivariable continuous-time plant; plant nonminimum phase zeros; sensitivity integral minimisation; stabilizing controller; stable discrete-time scalar system; Adaptive control; Australia Council; Control systems; Delay effects; Economic indicators; Feedback; Interpolation; Microwave integrated circuits; Open loop systems; Poles and zeros;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832900
