Title :
An approximation technique for the observability of regular parabolic systems
Author :
Gilliam, D.S. ; Martin, C.F. ; Mair, B.A.
Author_Institution :
Dept. of Math., Texas Tech Univ., Lubbock, TX, USA
Abstract :
The problem of determining an unknown boundary control of a parabolic distributed parameter system, evolving over finite or infinite time, from incomplete, approximate interior temperature measurements is investigated. One advantage of this inversion process is the availability of a priori error bounds based on the measurement errors and frequency of sampling. Another useful feature is that it encompasses boundary controls which are arbitrary linear combinations of surface temperature and flux
Keywords :
distributed parameter systems; heat transfer; observability; temperature measurement; approximation technique; boundary controls; distributed parameter system; heat transfer; interior temperature measurements; inversion process; observability; regular parabolic systems; surface temperature; temperature flux; Distributed parameter systems; Eigenvalues and eigenfunctions; Frequency; Inverse problems; Mathematics; Measurement errors; Observability; Sampling methods; Temperature control; Temperature measurement;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203791
