Volume 33 Issue 07
Jul.  2007
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Xia Hongwei, Ling Mingxiang, Wen Qiyong, et al. Robust H∞ control for systems with delayed state and input[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(07): 816-820. (in Chinese)
Citation: Xia Hongwei, Ling Mingxiang, Wen Qiyong, et al. Robust H control for systems with delayed state and input[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(07): 816-820. (in Chinese)

Robust H control for systems with delayed state and input

  • Received Date: 29 Jun 2006
  • Publish Date: 31 Jul 2007
  • The problem of robust H state feedback controller design for the generalized continuous time systems with time-varying delays in states and control inputs and parameter uncertainties residing in a polytope were investigated. A new improved performance criterion for the existence of robust H controller was presented by introducing two slack matrices. Then a H state feedback controller was derived directly from the criterion, which guarantees not only the quadratic stability of the closed-loop systems but also the H norm bound within a predefined level. The newly proposed criterion exhibits a kind of separation between the systems matrices and the positive definite Lyapunov matrices. As a result, the vertex-dependent Lyapunov functions can be adopted to deliver a less conservative result. An iterative algorithm was developed to further refine the sub-optimal controller. Moreover, this contribution addressed an effective method to obtain new criteria with less conservativeness based on existing research results. A numerical example was employed to illustrate the effect of the proposed approach.

     

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