Robust hyperplane synthesis for sliding mode control systems via sensitivity minimization

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)125-139
Journal / PublicationOptimal Control Applications and Methods
Issue number3
Publication statusPublished - May 2002


A robust hyperplane computation scheme for sliding mode control systems is proposed in this paper. A novel sensitivity index for the sliding eigenvalues with respect to perturbations in the system matrix, the input matrix and the hyperplane matrix is derived in the first instance. The robust hyperplane design problem is then formulated as an optimization task in which the proposed sensitivity index is accordingly minimized. Gradient information of the objective function is established which permits optimization to be proceeded effectively. A numerical example with statistical testing is employed to illustrate the design technique.

Research Area(s)

  • Eigenvalue assignment, Hyperlane design, Robustness, Sensitivity, Sliding modes