Title :
Filters for linear continuous-time singular systems
Author :
Feng, Jun-e ; Lam, James ; Xu, Shengyuan
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
This paper is concerned with designing filters for linear continuous-time singular systems. Two types of filters are developed; one is an infinite-time filter and the other is a finite-time one. For the former, the convergence of the filtering error to zero is asymptotic with time; but for the latter, it is finite time. Sufficient conditions for the solvability of these design problems are obtained in terms of rank conditions. It is noted that the designed filters are in linear state-space form and no information on the unknown input is required. A numerical simulation is used to illustrate the proposed method.
Keywords :
computability; continuous time filters; filtering theory; linear systems; numerical analysis; filtering error; infinite-time filter; linear continuous-time singular systems; linear state-space form; numerical simulation; Convergence; Coupling circuits; Delay; Information filtering; Information filters; Mathematical model; Nonlinear filters; Numerical simulation; Power system dynamics; Sufficient conditions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400091
