Design of nonlinear optimal systems on basis of controlled Jordan form

The work is devoted to the method development of an optimal control systems design for nonlinear technical plants basis on a Jordan controlled form of their equations. The definition of this form for the plants with single control is given. The solution of the problem design of the optimal system there is if all the nonlinear plant state variables are measured and the plant equations are represented in Jordan controlled form. Analytical expressions which define the optimal control in the sense of a nonlinear square-law and undetermined criteria are given. The design example of the optimal system for nonlinear plants is resulted.