Control of Smart Actuators: A Viscosity Solutions Approach
dc.contributor.author | Tan, Xiaobo | en_US |
dc.contributor.author | Baras, John S. | en_US |
dc.contributor.department | ISR | en_US |
dc.contributor.department | CDCSS | en_US |
dc.date.accessioned | 2007-05-23T10:11:42Z | |
dc.date.available | 2007-05-23T10:11:42Z | |
dc.date.issued | 2001 | en_US |
dc.description.abstract | Hysteresis 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.extent | 320060 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.uri | http://hdl.handle.net/1903/6252 | |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | ISR; TR 2001-39 | en_US |
dc.relation.ispartofseries | CDCSS; TR 2001-8 | en_US |
dc.subject | Sensor-Actuator Networks | en_US |
dc.title | Control of Smart Actuators: A Viscosity Solutions Approach | en_US |
dc.type | Technical Report | en_US |
Files
Original bundle
1 - 1 of 1