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- W2100037022 abstract "This paper provides a brief survey on the subject of LMI (Linear Matrix Inequality) methods for robust state feedback control design. The focus is on continuous-time linear systems with time-invariant uncertain parameters belonging to a polytope. Several LMI conditions from the literature are reviewed and discussed. The relationship between quadratic stabilizability (i.e. constant Lyapunov matrix) and LMI conditions based on parameter-dependent Lyapunov functions is highlighted. As a contribution, a generalization of a family of parameter-dependent conditions is proposed. Discussions, possible extensions and interpretations are provided along the presentation. Finally, the numerical efficacy of the LMI conditions in finding robust controllers when one stabilizing gain is known to exist is investigated. The methods have been tested against a set of hard uncertain systems that are guaranteed to be stabilized by some robust state feedback controller, including a large subset of problems which are known to be stabilized by some robust controller but not to be quadratically stabilizable by any controller." @default.
- W2100037022 created "2016-06-24" @default.
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- W2100037022 creator A5067189335 @default.
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- W2100037022 date "2011-09-01" @default.
- W2100037022 modified "2023-10-16" @default.
- W2100037022 title "Robust state feedback LMI methods for continuous-time linear systems: Discussions, extensions and numerical comparisons" @default.
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- W2100037022 doi "https://doi.org/10.1109/cacsd.2011.6044553" @default.
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