抄録
To control distributed-parameter systems subject to external, disturbances, the information about the state of the systems is required. In practice, because of the physical and economical constraints on the system, it is very convenient to estimate the state by the measurement data from a finite number of measuring devices and to apply a finite number of control inputs to the systems. In this case it becomes significant to choose the optimum locations for the measuring devices and the control inputs.
This paper discusses the structure of the optimum controller with the finite number of output measuring devices and control inputs, and determines analytically the optimum locations of the measuring devices to minimize an estimation error cost. The optimum location depends on the statistical characteristics of the disturbances and on the boundary conditions, and when they are known the location can be determined a priori. Furthermore, this paper discusses the adaptive algorithm of measurement optimization by which the uncertain characteristics of the disturbances are estimated. This method is available when the covariance of disturbances is unknown.
