Abstract
Coprime factorization originates from algebra studied by French mathematician E. Bezout [1]. In recent years, it has been used to describe dynamic systems [6]. Coprime factorization can be applied in controller synthesis for a given dynamic system with uncertainties [7, 8]. The factorizations can be further employed to construct the set of all stabilizing controllers for the system and to represent a simple parameterization of all stabilized closed-loop transfer functions. In addition, the normalized coprime factorization which will be introduced in this chapter has a strong link to the H ∞ loop-shaping problem [4]. It is also relevant to the spectral factorizations and internal stability.
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References
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Tsai, MC., Gu, DW. (2014). Coprime Factorizations. In: Robust and Optimal Control. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-6257-5_6
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DOI: https://doi.org/10.1007/978-1-4471-6257-5_6
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