Deadbeat Input Reconstruction and State Estimation for Discrete-Time Linear Time-Varying Systems

被引:2
|
作者
Ansari, Ahmad [1 ]
Bernstein, Dennis S. [1 ]
机构
[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
关键词
INVERTIBILITY; OBSERVERS;
D O I
10.23919/acc.2019.8815366
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The objective of input reconstruction is to use knowledge of the output of a system to estimate the input. An estimate of the input can be used in an observer to provide more accurate state estimates. This paper presents a technique for combined state and input estimation for discrete-time, linear time-varying systems. The algorithm is based on the analysis of the rank of the time-dependent matrix that relates vectors of states and input values to a vector of outputs. The key contribution is a characterization of the time-varying delay under which the state and input can be estimated. The input and state estimate are given in terms of the generalized inverse of a partitioned matrix. The approach is demonstrated on discrete-time examples with linear periodically time-varying dynamics.
引用
收藏
页码:5123 / 5127
页数:5
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