μ-Synthesis Control of Systems With Unknown Hysteresis Nonlinearity and Parametric Uncertainties

Abstract

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.