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|Type:||Artigo de periódico|
|Title:||Computation Of Contractive Polyhedra For Discrete-time Linear Systems With Saturation Controls|
|Abstract:||This paper deals with computational aspects of characterization and construction of polyhedral γ-contractive sets with respect to discrete-time linear systems with saturating feedback control inputs. Using a piecewise-affine model of the saturating closed-loop system, new necessary and sufficient algebraic condition for convex closed polyhedra be γ-contractive is derived. Based on linear programming formulation of this condition, an effective procedure is proposed for construction of as large as possible γ-contractive convex polyhedra for estimation of the region of asymptotic stability of origin. The procedure starts with a γ-contractive polyhedron, possibly contained in the region of linear control, and progressively expands it non-homothetically over the region of non-linear saturated control. The proposed approach is less conservative and computationally much more efficient than previously published ones.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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