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Chattering avoidance by second-order sliding mode control. (English) Zbl 0904.93003
The problem of steering to zero the states of a single-input nonlinear control system by forcing them to lie on a suitable sliding manifold in the original state by using a continuous control (thereby, avoiding the chattering effect) is considered. A suitable auxiliary problem involving a second-order uncertain system with unavailable velocity is solved by using an algorithm inspired by the classical bang-bang optimal control strategy. Then, the applicability of this algorithm is extended, via suitable modifications, to the case of nonlinear systems with uncertainties of a more general type. The proposed algorithm does not require the use of observers and differential inequalities.

93B12 Variable structure systems
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