PDEL-ID: An extension of PDEL for distributed parameter system identification

Abstract

Mathematical models have been commonly used for the simulation of continuous time systems on a digital computer. In many cases, the system models involve parameters which have to be identified from observed data. The digital simulation language PDEL was extended to provide the facilities and capabilities for the identification of parameters in distributed parameter systems. The extended program is designated as PDEL-ID. The extension includes new language statements and convenient facilities for observed data input and parameter identification. The use of PDEL-ID to identify parameters in partial differential equations requires minimum amount of programming effort and little knowledge on numerical analysis and mathematical programming. The syntax and semantics of PDEL-ID are given. Major facilities and capabilities of the language are described and illustrated by an example.