Game‐theoretic linear parameter‐varying control with multiple L ₂ ‐gain objectives upon energy‐motion regulation of electric bikes propulsion

Abstract

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.

Time-Delay LPV System Control and Its Application in Chatter Suppression of the Milling Process

“…Most of the abovementioned techniques have been applied to practical systems. Control designs for LPV systems such as missiles, aircrafts and spacecrafts, energy production systems, mechatronic systems, congestion in computernetworks, and web servers [13][14][15][16] have been investigated. The approach of using LPV models has computational advantages over other controller synthesis methods for nonlinear systems because the formulation is close to the linear system counterpart.…”