Last updated on April 10, 2015. This conference program is tentative and subject to change
Usually, the H_infinity control is designed for a nominal plant while hysteresis is treated as uncertainty. The hysteresis nonlinearity is not modeled or inverted in those methods. In our work we reduce the effect of hysteresis by inversion and only the remaining inversion error determines the size of the uncertainty. We compared the proposed H_infinity method with a PI controller when 2DOF is applied to both system. The PI controller usually has good performance at low frequencies, however, it does not take advantage of knowing the dynamics of the system as in H_infinity design, where we can improve the performance at high frequency. Simulation results on a model of piezoelectric actuator-based nanopositioner are presented to illustrate the design and analysis, where the hysteresis nonlinearity is represented by a Prandtal-Ishlinskii operato
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