Volume 3 Number 1
January 2006
Article Contents
Jun Wu, Jian Chu and Sheng Chen. On the Dual of a Mixed H2/l1 Optimisation Problem. International Journal of Automation and Computing, vol. 3, no. 1, pp. 91-98, 2006 doi:  10.1007/s11633-006-0091-z
Cite as: Jun Wu, Jian Chu and Sheng Chen. On the Dual of a Mixed H2/l1 Optimisation Problem. International Journal of Automation and Computing, vol. 3, no. 1, pp. 91-98, 2006 doi:  10.1007/s11633-006-0091-z

On the Dual of a Mixed H2/l1 Optimisation Problem

  • Received: 2005-01-04
Fund Project:

This work is supported by the National Natural Science Foundation of China (No.60374002 and No.60421002) the 973 program of China (No.2002CB312200) and the program for New Century Excellent Talents in University (No.NCET-04-0547).

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On the Dual of a Mixed H2/l1 Optimisation Problem

Fund Project:

This work is supported by the National Natural Science Foundation of China (No.60374002 and No.60421002) the 973 program of China (No.2002CB312200) and the program for New Century Excellent Talents in University (No.NCET-04-0547).

Abstract: The general discrete-time Single-Input Single-Output (SISO) mixed H2/l1 control problem is considered in this paper. It is found that the existing results of duality theory cannot be directly applied to this infinite dimension optimisation problem. By means of two finite dimension approximate problems, to which duality theory can be applied, the dual of the mixed H2/l1 control problem is verified to be the limit of the duals of these two approximate problems.

Jun Wu, Jian Chu and Sheng Chen. On the Dual of a Mixed H2/l1 Optimisation Problem. International Journal of Automation and Computing, vol. 3, no. 1, pp. 91-98, 2006 doi:  10.1007/s11633-006-0091-z
Citation: Jun Wu, Jian Chu and Sheng Chen. On the Dual of a Mixed H2/l1 Optimisation Problem. International Journal of Automation and Computing, vol. 3, no. 1, pp. 91-98, 2006 doi:  10.1007/s11633-006-0091-z
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