Synthesis of an Observer for a Class of Systems Described by Differential-Algebraic Equations, and Identification of Parameters of Unmeasured Disturbances

For linear descriptor systems subject to inconsistent perturbations, a method is proposed for synthesizing an observer that reconstructs an immeasurable state vector from an output signal available for measurement. When the introduced structural assumptions are fulfilled, the proposed observer also enables restoring the disturbance signal and identifying its unknown parameters. A parameterization method for a certain class of disturbing effects is presented, which makes it possible to move from unknown parameters to linear regression with respect to a certain combination of these parameters. Numerical modeling confirms the operability of the proposed methods.

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