Abstract
Based on sliding-mode-control theory, we develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by TakagiSugeno (TS) fuzzy models. In terms of linear-matrix inequalities (LMIs), we derive a sufficient condition for the existence of stabilizing sliding-mode controllers. We show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems. We also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally, we give a numerical-design example to show that our method can be better than the previous results.
Original language | English |
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Article number | 5457994 |
Pages (from-to) | 979-984 |
Number of pages | 6 |
Journal | IEEE Transactions on Fuzzy Systems |
Volume | 18 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2010 |
Keywords
- Fuzzy system
- linear-matrix inequality (LMI)
- sliding-mode control
- switching surface
- uncertain time-delay systems