Volume 26 Issue 6
Jun.  2000
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SUN Xiu-xia, MAO Jian-qin. Robust Reduced-Order Controller Design Based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(6): 722-725. (in Chinese)
Citation: SUN Xiu-xia, MAO Jian-qin. Robust Reduced-Order Controller Design Based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(6): 722-725. (in Chinese)

Robust Reduced-Order Controller Design Based on LMI

  • Received Date: 14 Jun 1999
  • Publish Date: 30 Jun 2000
  • A non-convex problem has to be solved in the designing of reduced-order H controller based on linear matrix inequality(LMI), which is so far an open problem. In this paper, a new method is presented to design reduced-order H contrller with convex optimization. It guarantees H performance, but some conservation may be introduced. In order to decrease the conservation, the projection principle is used. Thus, a lower order robust controller can be obtained but the H performance may not be guaranteed. It is a trade-off between the order of controller and the H performance in practice. Generally, if the projection error is small enough, the design result could be satisfied. The simulation results illustrate the advantages of this method.

     

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  • [1] Iwasaki T, Skelton R E. All controller for the general H control problem:LMI existence conditions and state space formulas. Automatica, 1994,30(8):1307~1317. [2]Gahinet P, Apkarian P. A linear matrix inequality approach to H control[J]. Int J Robust Nonlinear Control, 1994,4(3):421~448. [3]Grigoriadis K M, Skelton R E. Low-order control design for LMI problems using alternating projection methods[J]. Automatica,1994,32(8):1117~1125. [4]Mesbahi M, Papavassilopoulos G P. On the rank minimization problem over a positive semidefine linear matrix inequality[J]. IEEE Trans on Automatic Control, 1997,42(2):239~243. [5]Sun Xiuxia, Mao Jianqin, Chang T S. Application of H method to robust design for fast following synchronizer generators. Proceedings of ASCC. 1997.583~586.
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