Providing guaranteed accuracy of control at arbitrary disturbances

Abstract

An adaptive algorithm for one class of control systems with guaranteed accuracy at arbitrary disturbances is proposed. Such problem does not have a clear solution for today. Known robust methods provide good properties of the system only in a certain range of disturbances or changes in steady-state modes of operation and a priori information about the disturbance. Also they implement forecasting of control system dynamics without evaluation of existing disturbances. Regulators in such control systems generally have high dimensionality, and sometimes they should have essentially nonlinear properties. The issues of low-order controllers designing with quite simple construction, which provide the desired control accuracy for arbitrary disturbances and in non-stationary modes, require further development. The proposed algorithm is based on an indirect estimation of the resulting effects and predicting of the control object controlled variable, by means of which current value of the feedback coefficient is obtained, such that the controlled variable does not exceed the permissible value.