Abstract
The H∞ control problem of fractional-order continuous-discrete 2D Roesser models in the finite frequency is investigated in this paper. Firstly, based on the frequency-partitioning method and generalized Kalman–Yakubovič–Popov lemma, the finite frequency bounded real lemmas in form of linear matrix inequalities (LMIs) are proposed, which can be solved by LMI solvers immediately. Then, the H∞ state feedback controller is designed, and the existence conditions are established in form of bilinear matrix inequalities (BMIs). Moreover, by the provided iterative algorithm, these BMI-based conditions can be solved based on LMIs. Finally, the numerical examples are provided verify the validity of our results.
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