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Performance analysis of switched linear systems under arbitrary switching via generalized coordinate transformations

Abstract

For a continuous-time switched linear system, the spectral abscissa is defined as the worst-case divergence rate under arbitrary switching, which is critical for characterizing the asymptotic performance of the switched system. In this study, based on the generalized coordinate transformations approach, we develop a computational scheme that iteratively produces sequences of minimums of matrix set μ1 measures, where the limits of the sequences are upper bound estimates of the spectral abscissa. A simulation example is presented to illustrate the effectiveness of the proposed scheme.

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Acknowledgements

This study was supported by National Key Basic Research Program (973 Program) (Grant No. 2014CB845302), National Natural Science Foundation of China (Grant Nos. 91546203, 61273121), and Young and Middle-aged Foundation of Fujian Education Research (Grant No. JAT160294).

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Correspondence to Zhendong Sun.

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Lin, M., Sun, Z. Performance analysis of switched linear systems under arbitrary switching via generalized coordinate transformations. Sci. China Inf. Sci. 62, 12203 (2019). https://doi.org/10.1007/s11432-017-9316-7

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Keywords

  • generalized coordinate transformation
  • matrix set measure
  • spectral abscissa
  • switched linear system