Abstract
In this note, the problem of estimating the asymptotic stability region (ASR) of uncertain systems with bounded sliding mode controllers is considered. To simplify the problem we use a state transformation and choose a suitable Lyapunov function for the transformed control system. Using the Lyapunov function we estimate the ASR and show the exponential stability of the closed-loop control system in the region. Also, by an example we show that for a certain class of uncertain dynamical systems with bounded sliding mode controllers our method gives a more improved estimate of the ASR.
Original language | English |
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Pages (from-to) | 2275-2278 |
Number of pages | 4 |
Journal | IEEE Transactions on Automatic Control |
Volume | 39 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1994 |