Deterministic Systems

Vector method of design of sliding motion and simplex algorithms

S. V. Bayda, D. B. Izosimov

Moscow

Abstract: A multidimensional sliding mode is obtained by using a vectorial approach whereby the state space is divided into nonintersecting domains and a control vector is chosen in every domain so as to simplify the design of a sliding mode. Special attention is gi­ven to simplex design methods where a minimal number of domains and control vectors are employed. For the latter case two algorithms are proposed.

UDC: 62-501.7


Received: 21.05.1984

 English version: Automation and Remote Control, 1985, 46, 830–837

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