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 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.
LMI Based Sliding Mode Surface Design With Mixed Optimization
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 24, 2013; final manuscript received September 22, 2013; published online October 15, 2013. Assoc. Editor: Srinivasa M. Salapaka.
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Valiloo, S., Khosrowjerdi, M. J., and Salari, M. (October 15, 2013). "LMI Based Sliding Mode Surface Design With Mixed Optimization." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 011016. https://doi.org/10.1115/1.4025553
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