NDLI: Modeling and optimal control for a smart structure with stress-dependent hysteresis

Content Provider	IEEE Xplore Digital Library
Author	Yanhua Ma Jianqin Mao
Copyright Year	2009
Description	Author affiliation: School of Automation Science and Electrical Engineering, Beijing Univ. of Aero. & Astro., Beijing, P.R. China (Yanhua Ma; Jianqin Mao)
Abstract	The stress-dependent hysteresis existing in giant magnetostrictive materials impeded applications of magnetostrictive smart structures (MSS) under different mechanical loads. In this paper we propose a stress-dependent model for the hysteresis in a giant magnetostrictive actuator (GMA). Based on the proposed model, a finite horizon optimal control problem is studied for the system taking account of stress-dependent hysteresis without constructing the inverse operator extensively used. By dynamic programming method and the viscosity solutions theory, we derive the first order discontinuous Hamilton-Jacobi-Bellman (HJB) equation, and further prove that the value function is the unique viscosity solution of the HJB equation. Moreover, a discrete approximation scheme is adopted for the application of the control method. Simulation results verify the effectiveness of both the modeling and the control method.
Starting Page	661
Ending Page	666
File Size	395735
Page Count	6
File Format	PDF
ISBN	9781424447060
DOI	10.1109/ICCA.2009.5410236
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-09
Publisher Place	New Zealand
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimal control Intelligent structures Hysteresis Magnetostriction Magnetic materials Viscosity Equations Impedance Actuators Dynamic programming
Content Type	Text
Resource Type	Article

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