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High-order sliding-mode observation for linear systems with unknown inputs. (English) Zbl 1225.93034

Summary: A high-order sliding-mode observer is designed for linear systems with unknown inputs. The concepts of strong observability and strong detectability are studied and their relation with the relative degree of a plant is established. High-order sliding-mode-based observers for linear time-invariant systems with unknown inputs satisfying the condition of strong observability or strong detectability are developed.

MSC:

93B12 Variable structure systems
93C05 Linear systems in control theory
93B07 Observability
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