A. El‐Amrani, B. Boukili, A. Hmamed, A. El Hajjaji, I. Boumhidi
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Positive real control for 2D continuous systems roesser models in finite frequency domains
This paper investigates the design problem of state positive real control in finite frequency domains for two-dimensional (2D) continuous systems described by a Roesser model. Our aim is to design a new state feedback control in specific Finite Frequency (FF) domains. Using the well known generalized Kalman Yakubovich Popov (gKYP) lemma, sufficient conditions for the existence of state feedback control for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Illustrative example is provided to show the usefulness and potential of the proposed results.
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