Abstract
This paper deals with the problem of robust H∞ control for delayed singular systems with parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. A strict linear matrix inequality (LMI) design approach is developed such that, when the LMI is feasible, a desired robust state feedback control law can be constructed, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞-norm bound constraint on disturbance attenuation. A numerical example is provided to demonstrate the application of the proposed method.
Original language | English |
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Pages (from-to) | 147-158 |
Number of pages | 12 |
Journal | Journal of the Franklin Institute |
Volume | 346 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- linear matrix inequalities
- time delay systems