Sampled-Data Control With Space-Varying Gain for Linear Distributed Parameter Systems

摘要

This paper introduces a sampled-data control (SDC) with space-varying gain for linear distributed parameter systems (DPSs) described by parabolic partial differential equations (PDEs). A SDC design with space-varying gain is developed in the formulation of space-dependent linear matrix inequalities (LMIs) by using an appropriate Lyapunov functional, which can stabilize exponentially the DPSs. Finally, a numerical example is offered to support the proposed approach.