×

A survey on optimal sensors and controllers location in DPS. (English) Zbl 0565.93034

Control of distributed parameter systems, Proc. 3rd IFAC Symp., Toulouse 1982, 59-73 (1983).
[For the entire collection see Zbl 0559.00028.]
This paper presents a survey for the optimal sensors and/or controllers location problem in dynamical distributed parameter systems modelled by partial differential equations. The more recent contributions in this field are grouped according to the main goal for which the location problem is developed, namely: system identification, state estimation, and optimal control. In order to pose the sensors and controllers location problem, the semigroup approach for modelling distributed linear systems is briefly reviewed together with its equivalent (infinite- dimensional) and approximate (finite-dimensional) Fourier expansion representations. After presenting a concise general review of the several methods considered in the current literature a classification of methods is also proposed. The main classifying factor concerns the use of N-modal approximation schemes, and the different stages of the optimization procedure in which they are required.

MSC:

93C20 Control/observation systems governed by partial differential equations
93B30 System identification
93E10 Estimation and detection in stochastic control theory
47D03 Groups and semigroups of linear operators
93E12 Identification in stochastic control theory

Citations:

Zbl 0559.00028