화학공학소재연구정보센터
Automatica, Vol.103, 282-293, 2019
Mixed H-2/H-infinity sampled-data output feedback control design for a semi-linear parabolic PDE in the sense of spatial L-infinity norm
This paper addresses distributed mixed H-2/H-infinity sampled-data output feedback control design for a semi linear parabolic partial differential equation (PDE) with external disturbances in the sense of spatial L-infinity norm. Under the assumption that a finite number of local piecewise measurements in space are available at sampling instants, a static sampled-data output feedback controller is suggested, where the sampling interval in time is bounded. The local piecewise measurements bring additional difficulty for the exponential stability and performance analysis since the existing Poincare-Wirtinger inequality in 1D spatial domain is not applicable. By constructing an appropriate Lyapunov-Krasovskii functional candidate and employing Wirtinger's inequalities, a variant of Poincare-Wirtinger inequality in 1D spatial domain, as well as Agmon's inequality, it is shown that the suggested static sampled-data output feedback controller not only guarantees the output exponential stability of the resulting closed-loop PDE in the spatial L(infinity )norm but also ensures the mixed H-2/H-infinity performance index defined in the spatial L-infinity norm, if the sufficient conditions presented in terms of standard linear matrix inequalities (LMIs) are fulfilled. The satisfactory and better performance of the suggested sampled-data feedback controller is demonstrated by numerical simulation results of an illustrative example. (C) 2019 Elsevier Ltd. All rights reserved.