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author:

Yang, Fuwen (Yang, Fuwen.) [1] | Wang, Zidong (Wang, Zidong.) [2] | Hung, Y.S. (Hung, Y.S..) [3] | Shu, Huisheng (Shu, Huisheng.) [4]

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Abstract:

The mixed H2/H∞ filtering problem for uncertain linear continuous-time systems with regional pole assignment is considered. The purpose of the problem is to design an uncertainty-independent filter such that, for all admissible parameter uncertainties, the following filtering requirements are simultaneously satisfied: 1) the filtering process is asymptotically stable; 2) the poles of the filtering matrix are located inside a prescribed region that compasses the vertical strips, horizontal strips, disks, or conic sectors; 3) both the H2 norm and the norm on the respective transfer functions are not more than the specified upper bound constraints. We establish a general framework to solve the addressed multiobjective filtering problem completely. In particular, we derive necessary and sufficient conditions for the solvability of the problem in terms of a set of feasible linear matrix inequalities (LMIs). An illustrative example is given to illustrate the design procedures and performances of the proposed method. © 2005 IEEE.

Keyword:

Asymptotic stability Matrix algebra Optimal control systems Poles and zeros Signal filtering and prediction Transfer functions Uncertain systems

Community:

  • [ 1 ] [Yang, Fuwen]Dept. of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
  • [ 2 ] [Yang, Fuwen]Dept. of Electrical Engineering, Fuzhou University, Fuzhou 350002, China
  • [ 3 ] [Wang, Zidong]Dept. of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
  • [ 4 ] [Hung, Y.S.]Dept. of Electrical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong
  • [ 5 ] [Shu, Huisheng]Dept. of Applied Mathematics, Donghua University, Shanghai 200051, China

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IEEE Transactions on Aerospace and Electronic Systems

ISSN: 0018-9251

Year: 2005

Issue: 2

Volume: 41

Page: 438-448

0 . 7 7

JCR@2005

5 . 1 0 0

JCR@2023

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 59

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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