Abstract
In this note, we consider the problem of designing linear sliding surfaces for multivariable uncertain systems with mismatched uncertainties in the state matrix. In terms of linear matrix inequalities, we give a new invariance condition guaranteeing the existence of a linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the switching surface is not only stable but completely invariant to mismatched uncertainties. We also give an explicit formula of such linear switching surfaces, together with a design example.
Original language | English |
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Pages (from-to) | 1634-1638 |
Number of pages | 5 |
Journal | IEEE Transactions on Automatic Control |
Volume | 48 |
Issue number | 9 |
DOIs | |
State | Published - Sep 2003 |
Keywords
- Linear matrix inequality (LMI)
- Switching surface
- Uncertain systems
- Variable structure system