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Tracking Performance Bound with Finite Control Energy and Erasure Channel Energy Constraint
Author(s) -
Wang Baoxian,
Zhang DingXue,
Guan ZhiHong,
Hu Bin,
Huang Yuehua
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1192
Subject(s) - erasure , control theory (sociology) , upper and lower bounds , binary erasure channel , constraint (computer aided design) , channel (broadcasting) , lti system theory , network packet , minimum phase , tracking (education) , energy (signal processing) , mathematics , linear system , computer science , channel capacity , phase (matter) , control (management) , physics , telecommunications , mathematical analysis , statistics , psychology , computer network , geometry , pedagogy , quantum mechanics , artificial intelligence , programming language
This paper studies the tracking performance of the single‐input single‐output (SISO), finite dimensional, linear and time‐invariant (LTI) system under the channel input energy constraint over the Erasure channel. A new performance index is proposed which is minimized over all two‐degree‐of‐freedom stabilizing controllers. The explicit expressions of the lower bound of the performance index and the minimum of the signal‐to‐noise ratio are obtained. The results show that the performance bound is correlated to unstable poles, non‐minimum phase zeros and the packet loss probability. Finally, examples are given to validate the conclusions derived.