Open AccessGame‐theoretic linear parameter‐varying control with multiple L 2 ‐gain objectives upon energy‐motion regulation of electric bikes propulsion
Author(s) -
Hong BoeShong,
Su WenJui,
Lin TsuYu,
Chen Liangkuang,
Chen YongSong
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0635
Subject(s) - control theory (sociology) , propulsion , transient (computer programming) , transmission (telecommunications) , electrically powered spacecraft propulsion , engineering , work (physics) , energy (signal processing) , computer science , control (management) , mathematics , telecommunications , aerospace engineering , mechanical engineering , statistics , artificial intelligence , operating system
For electric bikes, this work develops linear parameter‐varying (LPV) game‐theoretic synthesis to regulate the trade‐off between energy consumption per distance and propulsion capability in transience. Such a regulation plays like the transmission in transient state, compared to the gear transmission in steady state. Here, the propulsion dynamics is identified with LPV parameterisation that perfectly captures the non‐linearity of the dynamics. Incorporation of this LPV plant with per‐distance energy‐motion performance forms a generalised plant with multiple L 2 ‐gain objectives. This generalised plant is specially constructed such that energy and motion objectives can share the same control and estimation storages without bringing conservatism to numerical solutions. Embedding the transient transmission into a dsPIC microcontroller, the authors simulate and experiment to credit such a LPV parameterisation and game‐theoretic control for DC electric propulsion.