Optimal design of distributed parameter measurement systems
Abstract
The optimal sensor location problem was approached from the point of view of estimation theory. The objective chosen was the estimation of the system state variables with maximum possible accuracy. An upper bound for the error covariance of the state estimate was derived. Optimal sensor locations were determined by minimizing this upper bound of the error covariance. This approach offers significant savings in computation time over the conventional approaches based on direct minimization of the error covariance. A one dimensional heat conduction system was considered as an example. The effect of process dynamics on optimal sensor locations was studied in detail for that example. The optimal locations were found to vary for spatially varying measurement noise.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1978
- Bibcode:
- 1978PhDT........76K
- Keywords:
-
- Distributed Parameter Systems;
- Optimal Control;
- Partial Differential Equations;
- Independent Variables;
- Measuring Instruments;
- Nonlinear Systems;
- Engineering (General)