Observability in Nonlinear Systems with Unmeasurable Inputs

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For non-linear time-variable systems under disturbances sufficient conditions for X observabilityand (X×Z) observability are presented, where X and Z are the sets of unknown initial states and unknown parameters, respectively.

In establishing the results for observability, sufficient conditions for the existence of a non-linearmap to be one to one, when the Jacobian matrix of the map is singular on a subset, are obtained. An example is included to show that X observability at each z∊Z does not necessarily imply (X × Z) observability.


Controls and Control Theory | Electrical and Computer Engineering | Electrical and Electronics | Electromagnetics and Photonics | Power and Energy | Signal Processing | Systems and Communications


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