Multiobjective Optimization of Electromechanical Servo Systems

Abstract

The method of multiobjective optimization of nonlinear robust control by electromechanical servo systems with parametric uncertainty is developed. Synthesis of nonlinear robust controllers and nonlinear robust observers reduces to solving the Hamilton-Jacobi-Isaacs equations. Robust control target vector is determined by solving the multiobjective nonlinear programming problem in which the components of the objective function vector are direct quality indicators that are imposed to the system in various modes of its operation. The calculation of the objective function vector and constraints are algorithmic and reduces to modeling of the system with nonlinear robust controllers for various modes of the system operation with different input signals and for various values of the plant parameters. The dynamic characteristics modeling end experimental researching results of a synthesized nonlinear electromechanical servo system are present.