Abstract

A linear differential operator enables a compact description of the observability matrix for discrete-time analytic systems. For systems in observer canonical form local observability is ensured. Recursive equations that determine the transformation into this canonical form are derived. For systems linear with respect to the states this transformation always exists, if the system is locally observable. As a technical application a continuous-time bilinear model of a translatory hydraulic drive is considered, which has a state affine discrete-time equivalent. A canonical form observer design for this example is outlined.

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