Control Performance Measures

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


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.


Robust Control MIMO System Power Reduction Power Gain Entropy Rate 
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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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