In this paper, the problem of mixed additive/multiplicative model reduction for stable linear continuous-time systems is studied. To deal with nonsquare or nonminimum phase systems, the multiplicative error bound is constructed using spectral factorization technique. By virtue of the bounded real lemma and the projection lemma, a linear matrix inequality approach is proposed for mixed additive/multiplicative model reduction, which can be implemented by the well-known cone complementary linearization method. Finally, two numerical examples are provided to demonstrate the effectiveness and advantages of the obtained results.
Mixed Additive/Multiplicative Model Reduction
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 22, 2012; final manuscript received March 22, 2013; published online May 23, 2013. Assoc. Editor: Won-jong Kim.
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Chow, Y., Hu, Y., Li, X., Kominek, A., and Lam, J. (May 23, 2013). "Mixed Additive/Multiplicative Model Reduction." ASME. J. Dyn. Sys., Meas., Control. September 2013; 135(5): 051005. https://doi.org/10.1115/1.4024111
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