4.4 Article

LMI Based Sliding Mode Surface Design With Mixed H2/H∞ Optimization

Publisher

ASME
DOI: 10.1115/1.4025553

Keywords

sliding mode control; matched and mismatched uncertainty; robust Control; LMI optimization

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In this paper sliding mode surface design is concerned with multi objective optimization for nonlinear continuous-time systems in the presence of matched and mismatched uncertainties and disturbances. In order to reduce the effect of uncertainties and disturbances on sliding motion, this problem is formulated as a well-motivated mixed H-2/H-infinity optimization problem and a constructive algorithm based on linear matrix inequality (LMI) is proposed. We also give an LMI-based sliding mode control law to direct the system trajectories onto the designed sliding surface. Finally, using a numerical example, we show the effectiveness of proposed method.

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