Sampled-Data Observer Design for Space-Varying Distributed Parameter Systems

This paper considers the sampled-data observer design problem of space-varying distributed parameter systems (DPSs). By utilizing a Lyapunov functional, a sampled-data observer design is developed by spatial linear matrix inequalities (SLMIs) to guarantee the exponential stability for the estimation error DPS. Furthermore, to solve SLMIs, the sampled-data observer design for space-varying DPSs is formulated as an LMI feasibility problem. Lastly, simulation results of a numerical example are provided to illustrate the effectiveness of the proposed method.