PROJECT TITLE :

Controller Design for Discrete-Time Descriptor Models: A Systematic LMI Approach

ABSTRACT:

This paper provides a systematic method to generalize the controller style for discrete-time nonlinear descriptor models. The controller synthesis is completed employing a Takagi-Sugeno illustration of the descriptor models and linear matrix inequalities. We propose approaches to take advantage of the discrete-time nature of the problem by using delayed Lyapunov functions, which permit delayed controller gains. Furthermore, the well-known Finsler's Lemma is employed to avoid the explicit substitution of the closed-loop dynamics. Examples are provided to show the effectiveness of the proposed results.


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