Reduced-order observer design for a distributed parameter system with spatially distributed time-delay input

This paper concerns the real-time state estimation of a system with both spatial and temporal dimension-infiniteness resulted from spatially distributed time-delayed input. Here are developed the methodology for model truncation served for observer synthesis and the L 2-gain synthesizer of robust observers against the truncation error. The procedure of making such a real-time monitoring for thermoacoustic dynamics is studied via simulation in the final section