Abstract

Robust finite-time (FT) stabilization of uncertain continuous-time singular systems is of concern in this paper. By adopting a Lyapunov-like functional (LLF) and the finite-time stability (FTS) technique, the linear matrix inequality (LMI)-based conditions are derived for uncertain continuous-time singular systems to be stabilizable. Then, based on solving these LMIs, a FT H-infinite state feedback controller is obtained such that the controlled system has a prescribed level of H-infinite performance and the responses of the states are constrained in a FT interval. In the end, the effectiveness of the obtained theorems are illuminated by a numerical example.

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