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Control of Smart Actuators: A Viscosity Solutions Approach

dc.contributor.authorTan, Xiaoboen_US
dc.contributor.authorBaras, John S.en_US
dc.description.abstractHysteresis in smart materials hinders their wider applicability in actuators. In this report we investigate control of smart actuators through the example of controlling a commercially available magnetostrictive actuator. At low frequencies, the magnetostriction can be related to the bulk magnetization through a square law, thus control of the magnetization amounts to control of the magnetostriction. The model we use is the low dimensional Jiles-Atherton model for ferromagnetic hysteresis, which is a hybrid system. For illustrative purpose, we consider an infinite horizon control problem. The approach we take features dynamic programming and Hamilton-Jacobi equations. In particular, we show that the value function of the control problem satisfies a Hamilton-Jacobi-Bellman equation (HJB) of some hybrid form in the viscosity sense. We further prove uniqueness of solutions to the (HJB), and provide a numerical scheme to approximate the solution together with a suboptimal controller synthesis method.en_US
dc.format.extent320060 bytes
dc.relation.ispartofseriesISR; TR 2001-39en_US
dc.relation.ispartofseriesCDCSS; TR 2001-8en_US
dc.subjectSensor-Actuator Networksen_US
dc.titleControl of Smart Actuators: A Viscosity Solutions Approachen_US
dc.typeTechnical Reporten_US

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