Was proposed method for structurally-parametric synthesis of control laws for n-order nonlinear objects with functional uncertainty on state and control. Moreover, control objects may have an unstable state of equilibrium, and their output matrix may contain right eigenvalues.The algorithm of structural synthesis of the proposed method is based on setting the law of derivative change n-th of state`s variable of synthesized automatic control system, applying of operator-parametric feedback on the calculated inversed undefined gain coefficient value of control object and usage an observer of state`s variables and of a compensating coupling on the deviation of the state`s vector of the synthesized and etalon system.

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

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