Abstract
This chapter introduces the control performance measures including the H∞ norm and power gain. The H∞ 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 theH∞ norm for LTI systems. We also generalize power gain to MIMO systems.
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CITATION STYLE
Fang, S., Chen, J., & Ishii, H. (2017). Control performance measures. In Lecture Notes in Control and Information Sciences (Vol. 465, pp. 39–48). Springer Verlag. https://doi.org/10.1007/978-3-319-49289-6_3
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