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| Titel: |
Robust sliding mode control of non-linear systems with delay: a design via polytopic formulation |
| Auteur: |
Gouaisbaut, F. Blanco, Y. Richard, J. P. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 77 (2004) nr. 2 pagina's 206-215 |
| Jaar: |
2004-01-20 |
| Inhoud: |
This paper outlines the possibility to control non-linear uncertain systems with single, possibly time-varying state-delay. These systems are submitted to additive perturbations (possibly non-vanishing). The control is of sliding mode type and the sliding surface is designed to maximize the calculable set of delays which do not destabilize the relay-delay system. The way to deal with the non-linear parts of the model relies on a polytopic formulation, i.e. a decomposition into a non-linear combination of linear models, whose weighting coefficients satisfy a convex property. The conditions for the existence of the sliding regime are studied by using both a Lyapunov-Krasovskii functional and a Lyapunov-Razumikhin function. The optimization procedure for the choice of the sliding surface is expressed in terms of LMIs. An example illustrates the proposed method. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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