Achievable input performance of linear systems under feedback control

In this paper, we characterize the achievable input performance for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for stabilization in both of the H2 and H-inf optimal control frameworks. The achiev...

Full description

Saved in:
Bibliographic Details
Main Authors: Meadows, Edward S., Kariwala, Vinay, Skogestad, Sigurd, Forbes, J. Fraser
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/90904
http://hdl.handle.net/10220/4673
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
Description
Summary:In this paper, we characterize the achievable input performance for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for stabilization in both of the H2 and H-inf optimal control frameworks. The achievable input performance primarily depends on the joint controllability and observability of unstable poles. These results are also extended to systems with time delay. It is shown that time delay poses no serious limitations on the achievable input performance for systems with slow instabilities and vice versa. The proposed results unify the available results on input performance limitations and are useful for various purposes including selection of variables for the stabilizing layer, process design and formulation of the optimal controller design problem.