This paper deals with μ-synthesis control approaches for a class of uncertain dynamic systems with unknown comple multi-loop hysteresis nonlinearity. By decoupling the hysteresis from the system dynamics, an uncertain linear dynamic system subjected to a static hysteretic input is achieved. A bound of uncertainty for the parameters of the dynamic system is considered and the hysteresis is reduced to a line with a known slope plus a varying function representing the difference of the approximate line and the hysteresis response. For the described uncertain system, μ-synthesis method is used to achieve both stabilization and tracking performance within a desired precision and bandwidth. Simulation performed on a perturbed nonlinear plant demonstrate the effectiveness of the approach when compared to other methods.
- Design Engineering Division and Computers and Information in Engineering Division
μ-Synthesis Control of Systems With Unknown Hysteresis Nonlinearity and Parametric Uncertainties
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Bashash, S, Ayalew, B, & Jalili, N. "μ-Synthesis Control of Systems With Unknown Hysteresis Nonlinearity and Parametric Uncertainties." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 867-872. ASME. https://doi.org/10.1115/DETC2007-35410
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