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An ℋ∞-norm guaranteed cost design for sliding surfaces in variable structure controllers is presented. This procedure is suitable for approximate rejection of nonmatching disturbances. Both unstructured signal disturbances and structured convex-bounded model uncertainties are considered. A state-space convex optimisation approach, via linear matrix inequalities, is employed in the surface design.
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Takahashi et al. (1998) studied this question.
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