Controlling the boundedly undefined nonlinear objects

Abstract

Controlling the boundedly undefined nonlinear objects

Elsukov V.S., Lachin V.I., Lipkin S.M.

Incoming article date: 14.09.2017

An algorithm for the control laws synthesis for boundedly indeterminate nonlinear n-th order plants with a mathematical model in normal form and arbitrary relative order is proposed. Moreover, said plants may have an unstable state of equilibrium, and their output matrix may contain right eigenvalues. The proposed synthesis algorithm is based on the application of the combined control principle with respect to the n-th state variable derivative. And its sought for law of change is determined from the desired trajectory equation of the corresponding automatic control system by means of evaluating the state variables of its object.

Keywords: plant, uncertainty, nonlinearity, law control, synthesis