Abstract
A methodology for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations is proposed. It is considered that the control signal is applied through a first-order low-pass filter. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to a quasi-minimal region of the origin using the suboptimal control signal is guaranteed. The design procedure is given in terms of the solution of a set of Matrix Inequalities. A benchmark example illustrating the design is given.
Original language | English |
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Pages (from-to) | 1467-1472 |
Number of pages | 6 |
Journal | Automatica |
Volume | 47 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2011 |
Keywords
- Robust control
- Sliding mode
- Uncertain linear systems