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Control Performance Measures

  • Song FangEmail author
  • Jie Chen
  • Hideaki Ishii
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 465)

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.

Keywords

Robust Control MIMO System Power Reduction Power Gain Entropy Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Department of Electronic EngineeringCity University of Hong KongKowloonHong Kong
  2. 2.Department of Computer ScienceTokyo Institute of TechnologyYokohamaJapan

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