Abstract
It is well known that the structured singular value μ plays a crucial role in analysis and synthesis of the systems having structured uncertainties. In this paper, first, we propose new upper bounds of μ based on the parameter dependent multipliers, which are less conservative than former ones. Second, using this type of multipliers, we give a necessary and sufficient condition for dynamical systems to have μ less than a specified value γ for every frequency, which requires neither frequency sweep nor higher order multipliers. Third, based on this result, we solve a state feedback μ synthesis problem via LMI’s. Numerical examples demonstrate the effectiveness of the proposed method.
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© 1999 Springer-Verlag London Limited
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Chen, G., Sugie, T. (1999). μ-Analysis and synthesis based on parameter dependent multipliers. In: Yamamoto, Y., Hara, S. (eds) Learning, control and hybrid systems. Lecture Notes in Control and Information Sciences, vol 241. Springer, London. https://doi.org/10.1007/BFb0109740
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DOI: https://doi.org/10.1007/BFb0109740
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