Two side observer design for singular distributed parameter systems.

We consider the problem of state observation for singular distributed parameter system (SDPS) with singular derivative term. For the nonhomogeneous boundary, we define the SDPS observer and investigate the exponential stability of the error SDPS with SDPS theory. Considering the uncertainty, the robustness of proposed SDPS observer is investigated by singular system theory. As an application, the state observation of distributed building automatic temperature system is considered.