Proceedings Article10.23919/ACC.2004.1384428
Robust order reduction
Alexandre Trofino,Daniel Coutinho +1 more
- 01 Jan 2004
- Vol. 4, pp 3363-3368
TL;DR: In this paper, an LMI approach to the robust order reduction problem is proposed, which can be applied for quadratically stable linear systems with polytopic uncertainties, and bounds on the magnitude of the model approximation error are characterized in terms of both the H/sub 2/ and H/ sub /spl infin// norms.
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Abstract: This paper proposes an LMI approach to the robust order reduction problem. The technique can be applied for quadratically stable linear systems with polytopic uncertainties. Bounds on the magnitude of the model approximation error are characterized in terms of both the H/sub 2/ and H/sub /spl infin// norms. Numerical examples are used to show the potential of the proposed approach.
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Citations
Model order reduction of random parameter-dependent linear systems
TL;DR: A new method to perform model reduction of linear time invariant (LTI) systems where parameters are random variables governed by probabilistic laws is proposed, which combines the well-known truncation balanced realization (TBR) technique together with the generalized polynomial chaos (GPC) formalism, a powerful tool for uncertainty propagation.
13
H∞ /H2 model reduction through dilated linear matrix inequalities
TL;DR: Sufficient dilated linear matrix inequalities (LMI) conditions to the H ∞ and H 2 model reduction problem are presented and an iterative algorithm based on dilated LMIs is proposed to significantly improve the approximation bound.
4
H ∞ Model Order Reduction of Uncertain Linear Systems Using generalized KYP Lemma
Gustavo S. Mazzoccante,Gijs Hilhorst,Goele Pipeleers,Ricardo C. L. F. Oliveira +3 more
- 27 Nov 2018
TL;DR: The generalized Kalman-Yakubovich-Popov (gKYP) Lemma design conditions are provided in terms of LMIs relaxations associated to scalar searches and iterative procedures to assess low-frequency specifications.
1
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