Robust hyperplane synthesis for sliding mode control systems via sensitivity minimization

Robust hyperplane synthesis for sliding mode control systems via sensitivity minimization

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Article ID: iaor20042223
Country: United Kingdom
Volume: 23
Issue: 3
Start Page Number: 125
End Page Number: 139
Publication Date: May 2002
Journal: Optimal Control Applications & Methods
Authors: , ,
Abstract:

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 proceed effectively. A numerical example with statistical testing is employed to illustrate the design technique.

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