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**Improved results on frequency-weighted balanced truncation and error bounds.**
*(English)*
Zbl 1274.93044

Summary: In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu’s frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.

### MSC:

93B11 | System structure simplification |

93C15 | Control/observation systems governed by ordinary differential equations |

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\textit{V. Sreeram} and \textit{S. Sahlan}, Int. J. Robust Nonlinear Control 22, No. 11, 1195--1211 (2012; Zbl 1274.93044)

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### References:

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