Title :
Effects of radial shifts of eigenvalues on norms of linear systems
Author_Institution :
Dept. of Gen. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
We show that for linear systems represented in the controllable canonical form there are simple and systematic changes in the input/output properties of the closed-loop system from the disturbance input to the system output when controls are applied to produce a radial displacement of all the closed-loop poles. In particular this is true for the transfer function and the impulse response of the systems. This in turn leads to a better understanding of how such changes in the control gains affect the induced L2 norm, (the H2 norm) and the induced L∞ norm (the L1 norm) of the system
Keywords :
closed loop systems; eigenvalues and eigenfunctions; linear systems; poles and zeros; stability; transfer functions; transient response; H2 norm; L1 norm; closed-loop poles; control gains; controllable canonical form; disturbance input; impulse response; induced L∞ norm; induced L2 norm; input/output properties; radial displacement; radial shifts; Artificial intelligence; Control systems; Design methodology; Displacement control; Eigenvalues and eigenfunctions; Electrical capacitance tomography; Equations; Laboratories; Linear systems; Modems;
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.2001.914725
