What is the minimum function observer order?

✍ Scribed by Chia-chi Tsui

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 477 KB
• Volume: 335
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(96)00141-x

✦ Synopsis

The design of a minimal order obseraer which can estimute the state feedbuck control .signul Kx(t) with urbitrarilJ* gicen obsercer poles and K, has been vqorked on,jor mung yeurs, with the preruiling conclusion that it is an unsohed problem. This puper usserts for the,first time that this design problem has been simphfied to a set of' linear equations K = K,diagjc,,...,c,JD, where D is ,fillv determined und other parumeters are completely free, and where r is the ohsewer order. This paper also asserts that only this set of linear equations curt provide the unt$ed upper bound of ' r, min{n.o, + . ..+u.,} undmin{n-m,(t), -l)+ +(I+-I)},,for strictlyproper undproper ohsewers, respectiwlv, where n, m, p and v, (i = I....,p) are the plant order, number of outputs, number of inputs, and the descending order obsercubilit~~ indexes, respectice!v. This general upper bound is lower than UN other existing ones and is the lowest possible general upper bound.