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Avtometriya

2015 year, number 4

NONLINEAR REGULATOR WITH DISTURBANCE COMPENSATION

S. I. Kolesnikova
Tomsk State University, pr. Lenina 36, Tomsk, 634050 Russia
Keywords: многомерный нелинейный объект, целевое многообразие, скользящее управление, адаптация на многообразиях, возмущения с неизвестным описанием, multidimensional nonlinear object, target manifold, sliding control, adaptation on manifolds, disturbance with an unknown description

Abstract

The problem of generalizing the method of analytical construction of aggregated regulators to the case of controlling a poorly formalized object on manifolds under the condition of uncertainty is considered. A comparative overview of the conditions of applicability of two methods for the control on manifolds is given, and the property of robustness of these methods is illustrated. An algorithm for the synthesis of a control system for a multidimensional nonlinear object with incomplete information about the right sides of the description based on the principles of synergetic control theory is given. The results of numerical simulation of the operation of the regulator constructed under off-design conditions (with additive random noise) are obtained.