Application of decomposition/coordination methods to parameter identification problems in interconnected distributed parameter systems

✍ Scribed by Axel Munack; Manfred Thoma

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 609 KB
• Volume: 22
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(86)90111-1

✦ Synopsis

Application of two decomposition/coordination methods to parameter identification problems for interconnected distributed parameter systems of parabolic type is treated. After formulation of both methods--penalization and re-injection-and some remarks with respect to treatment of parameters occurring simultaneously in several subsystems, the problem of convergence of the decomposed estimates is addressed. This is attacked by a linearization around the actual parameter set, which allows us to solve the identification problems on the subsystem level directly. A simple example is used to demonstrate some features of coupled and decomposed identification procedures and to show the actual regions of local convergence for different sensor locations.