Advertisement
Published in:
2017 | OriginalPaper | Chapter
3. Control Performance Measures
Authors : Song Fang, Jie Chen, Hideaki Ishii
Published in: Towards Integrating Control and Information Theories
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Abstract
This chapter introduces the control performance measures including the \(\mathcal {H}_{\infty }\) norm and power gain. The \(\mathcal {H}_{\infty }\) norm is a well-established performance measure in robust control. The power gain, on the other hand, serves as a worst-case measure in power reduction of a system. It is shown that power gain is closely related to the entropy rate increase/decrease for signals passing through the system. This measure is examined for several classes of systems, and is seen to reduce to the \(\mathcal {H}_{\infty }\) norm for LTI systems. We also generalize power gain to MIMO systems.