Title
Fundamental Identification Limit of Single-Input and Single-Output Linear Time-Invariant Systems
Abstract
This paper considers the identification problem of the system parameters of discrete-time linear time-invariant(LTI) systems. Based on a limited number of input/output sample trajectories, under the condition of the total energy of input is limited and input can fully excite the state of the system, we give the fundamental identification limit of system parameters (up to a similarity transformation) for marginally stable single-input and single-output(SISO) systems by using Cramér-Rao bound, and we show that the identification of system parameters become more and more difficult as the system dimension increases.
Year
DOI
Venue
2022
10.23919/ASCC56756.2022.9828137
2022 13th Asian Control Conference (ASCC)
Keywords
DocType
ISSN
System Identification,Fisher Information Matrix,Cramér-Rao Bound,System Parameters
Conference
2770-8365
ISBN
Citations 
PageRank 
978-1-6654-9134-1
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
Shuai Sun100.34
Yilin Mo289151.51
Keyou You383150.16