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: | Lam James, Tam Hei Ka, Ho Daniel W.C. |
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.