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Design of $H_{\infty}$ Controller with Different Weighting Functions Using Convex Combination  

Kim Min-Chan (KIMICS)
Park Seung-Kyu (KIMICS)
Kwak Gun-Pyong (KIMICS)
Publication Information
Journal of information and communication convergence engineering / v.2, no.3, 2004 , pp. 193-197 More about this Journal
Abstract
In this paper, a combination problem of controllers which are the same type of $H_{\infty}$ controllers designed with different weighting functions. This approach can remove the difficulty in the selection of the weighting functions. As a sub-controller, the Youla type of $H_{\infty}$ controller is used. In the $H_{\infty}$ controller, Youla parameterization is used to minimize $H_{\infty}$ norm of mixed sensitivity function by using polynomial approach. Computer simulation results show the robustness improvement and the performance improvement.
Keywords
Convex combination; Robust control; Youla parameterization;
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  • Reference
1 H. Kwakernaak, 'Robustness optimization of linear feedback systems', 22nd CDC Conf., Texas, 1983
2 J. Doyle, K. Zhou, K. Glover, B. Bodenheimer, 'MixedHoo and $H_2$, performance objective II: Optimal control', IEEE, AC-39, No. 8, pp. 1575-1587, 1994
3 M. J. Grimble, '$H_\infty$ robust controller for self-turning control application Part 2. Self-turning and Robustness', International Journal of Control, VoL 46, No.5, pp. 1819-1940, 1987   DOI   ScienceOn
4 J. C. Doyle, K. Glover, P. Khargonekar, B. Francis, 'State-space solutions to standard $H_\infty$ and $H_2$ control problems', IEEE AC-34, 841- 847, 1989
5 S. J. Cusumanno, Adaptive Robust Control, University of Illinois at Urbana-Champaign, USA, 1988
6 M. J. Grimble, '$H_\infty$ Robust controller for self-turning control application Part 3. Self-tuming and Robustness', International Journal of Control, Vol. 52, No. 1, pp. 15-36, 1990   DOI
7 M. J. Grimble, '$H_\infty$ / $H_2$ robust control design for a generalized control structure and flight control application', International Journal of Systems Science, Vol. 26, No. 11, pp. 2043-2068, 1995   DOI   ScienceOn