Sliding Mode Control of Multidimensional Nonstationary Nonlinear Object

A.V. Lebedev and V.F. Filaretov (Russia)


Variable structure system, robust control, sliding mode, nonstationary nonlinear object, high dimensionality


The new method of the synthesis of multi-channel variable structure system with the sliding mode for the centralized control of the multidimensional nonstationary nonlinear object is proposed in this paper. The conditions of the existences of stable sliding mode on the intersection of hyper-surfaces in the space of the system coordinates with the presence of essential dynamic reciprocal effect between all control channels are obtained and strictly proved. The application of a new law of explosive control signals formation allow to provide the high control quality at any variations of the object parameters within the given ranges.

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