Data-based Stability Analysis for Linear Time-invariant Discrete-time Systems

Park, Un Sik; Ikeda, Masao

doi:10.5687/iscie.18.269

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“…LQG control and optimal tracking in data space are considered in [4,5], respectively. A method for stability analysis of linear discrete time systems using only time-domain data is proposed in [6].…”

Section: Introductionmentioning

confidence: 99%

Fixed-order H∞ controller design for nonparametric models by convex optimization

Karimi¹,

Galdos²

2010

Automatica

128

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A new approach for robust fixed-order H∞ controller design by convex optimization is proposed. Linear time-invariant singleinput single-output systems represented by nonparametric models in the frequency domain are considered. It is shown that the H∞ robust performance condition can be represented by a set of linear or convex constraints with respect to the parameters of a linearly parameterized controller in the Nyquist diagram. Multimodel and frequency-domain uncertainty can be considered straightforwardly in the proposed approach. The proposed method is compared with the standard H∞ control problem by a simulation example on an unstable system.

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Section: Introductionmentioning

confidence: 99%