Abstract:

The state space of distributed parameter system (DPS) is infinite dimensional and cannot be measured directly by a finite number of sensors. To solve this problem, we propose a state reconstruction method using a finite number of point measurements. Feasibility of the method is shown theoretically. Numerical simulation indicates that it can achieve good state reconstruction. In contrast to distributed parameter observers,
the proposed method only requires measurements taken at discrete time, and it can give better reconstruction of system’s early states.

Key words: distributed parameter system, sensor, point measurement, state observer, state reconstruction