Positive realness preserving model reduction with H/sub /spl infin norm error bounds

DOI10.1109/81.350793zbMath0839.93024OpenAlexW2059654224MaRDI QIDQ4868139

Xin Chen, John Ting-Yung Wen

Publication date: 23 June 1996

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.350793

zbMATH Keywords

stochastic realizationbalanced stochastic truncationpositive real systemmodel-reduction

Mathematics Subject Classification ID

(H^infty)-control (93B36) System structure simplification (93B11)

Related Items (11)

Matrix nearness-based guaranteed passive system approximation ⋮ A behavioral characterization of the positive real and bounded real characteristic values in balancing ⋮ Error bounds in the gap metric for dissipative balanced approximations ⋮ Disturbance attenuation via strictly positive real compensators. ⋮ Positive real and bounded real balancing for model reduction of descriptor systems ⋮ On positive realness, negative imaginariness, and \(H_\infty\) control of state-space symmetric systems ⋮ Positive-real systems under lossless transformations: invariants and reduced order models ⋮ Bounded real and positive real balanced truncation using \(\Sigma \)-normalised coprime factors ⋮ Dissipativity preserving model reduction by retention of trajectories of minimal dissipation ⋮ 5 Post-processing methods for passivity enforcement ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems

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