Reduced-order solutions for the singular H∞ filtering problem

被引:2
作者
Ariola, M [1 ]
Pironti, A [1 ]
机构
[1] Univ Naples Federico 2, Dipartimento Informat & Sistemist, I-80125 Naples, Italy
关键词
filtering; H(infinity) control; time-varying systems;
D O I
10.1109/TAC.2002.808478
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, we consider the filtering H(infinity) problem for linear time-varying systems. This problem has been already solved in the case when the direct feedthrough matrix F between the disturbance and the output vectors is full-row rank. Here, we consider the case when the problem is singular, that is when this feedthrough matrix is not full-row rank. We show that in this case a reduced-order observer can be designed to meet the desired performance. Moreover, we apply the obtained results to solve a particular H(infinity) singular output feedback problem.
引用
收藏
页码:271 / 275
页数:5
相关论文
共 11 条
[1]  
Ariola M, 2001, IEEE DECIS CONTR P, P682, DOI 10.1109/CDC.2001.980183
[2]  
BRYSON AE, 1965, IEEE T AUTOMAT CONTR, V11, P4
[3]   On smooth decompositions of matrices [J].
Dieci, L ;
Eirola, T .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 20 (03) :800-819
[4]  
Li YF, 2001, IEEE DECIS CONTR P, P2562, DOI 10.1109/CDC.2001.980650
[5]   FILTERING AND SMOOTHING IN AN H-INFINITY SETTING [J].
NAGPAL, KM ;
KHARGONEKAR, PP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (02) :152-166
[6]  
O'Reilly J., 1983, Observers for Linear Systems
[7]   THE FINITE-HORIZON SINGULAR H-INFINITY CONTROL PROBLEM WITH DYNAMIC MEASUREMENT FEEDBACK [J].
STOORVOGEL, AA ;
TRENTELMAN, HL .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 187 :113-161
[8]  
STOORVOGEL AA, 1992, H INFINIT CONTROL PR
[9]   WORST-CASE DESIGN IN THE TIME DOMAIN - THE MAXIMUM PRINCIPLE AND THE STANDARD H-INFINITY PROBLEM [J].
TADMOR, G .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1990, 3 (04) :301-324
[10]   INPUT OUTPUT NORMS IN GENERAL LINEAR-SYSTEMS [J].
TADMOR, G .
INTERNATIONAL JOURNAL OF CONTROL, 1990, 51 (04) :911-921