Convex Chebyshev Approximation for Descriptor Systems for Frequency Domain Data Fitting | IEEE Conference Publication | IEEE Xplore

Convex Chebyshev Approximation for Descriptor Systems for Frequency Domain Data Fitting


Abstract:

The magnitude frequency-based response data fit-ting mechanism is available for the case of proper or strictly proper linear and time-invariant (LTI) systems. This paper ...Show More

Abstract:

The magnitude frequency-based response data fit-ting mechanism is available for the case of proper or strictly proper linear and time-invariant (LTI) systems. This paper presents an extension to this mechanism for improper single-input and single-output (SISO) systems described by linear differential-algebraic equations (DAEs). Such descriptor models are computed as the solution to an optimization problem formulated as a Log-Chebyshev approximation, with additionally-imposed upper boundness, stability, and minimum phase constraints, useful in the context of robust synthesis. Moreover, a direct implication of such descriptor systems identification in the robust feedback linearization (RFL) control problem is underlined. A numeric example validates the proposed method of descriptor system identification applied to solve an RFL problem.
Date of Conference: 10-12 October 2024
Date Added to IEEE Xplore: 11 November 2024
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Conference Location: Sinaia, Romania

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