Geodesic
Sliding subspace design based on linear matrix inequalities
Kybernetika, Tome 50 (2014) no. 3, pp. 436-449
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In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially available software. Examples are provided to illustrate the effectiveness of the proposed approach.
In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially available software. Examples are provided to illustrate the effectiveness of the proposed approach.
DOI : 10.14736/kyb-2014-3-0436
Classification : 51M16, 90C25, 90C90, 93B12, 93B40, 93C05
Keywords: sliding mode control; variable structure; sliding subspace design; linear matrix inequalities 
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Tapia, Alán; Márquez, Raymundo; Bernal, Miguel; Cortez, Joaquín. Sliding subspace design based on linear matrix inequalities. Kybernetika, Tome 50 (2014) no. 3, pp. 436-449. doi: 10.14736/kyb-2014-3-0436

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