Gramian based approach to model order-reduction for discrete-time switched linear systems

@article{Birouche2010GramianBA,
  title={Gramian based approach to model order-reduction for discrete-time switched linear systems},
  author={Abderazik Birouche and J{\'e}r{\^o}me Guillet and Benjamin Mourllion and Michel Basset},
  journal={18th Mediterranean Conference on Control and Automation, MED'10},
  year={2010},
  pages={1224-1229}
}
This paper describes the problem of model orderreduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. The paper investigates a novel method to model reduction. The approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. The error limit depends on the truncated singular values and balanced truncation procedure… CONTINUE READING

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