A note on observability tests for general polynomial and simple Wiener–Hammerstein systems

✍ Scribed by Dragan Nešić

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 128 KB
• Volume: 35
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(98)00055-3

✦ Synopsis

We propose an algorithm, based on symbolic computation packages, for testing observability conditions of general polynomial systems, which were formulated in Sontag, SIAM J. Control Optim. 17 (1979) 139 -151. Computational complexity of the observability test can be reduced and the test simpliÿed for classes of polynomial systems. We illustrate this by considering the class of simple Wiener-Hammerstein systems, which consist of a series of two linear dynamic blocks between which a static nonlinearity is "sandwiched". We consider the case when the nonlinearity is a monomial N (•) = (•) q ; q¿1. Simple necessary and su cient conditions for observability are given and they resemble, but are subtly di erent from, the well known result on observability for the series connection of two linear systems.