Study on a unified method for dynamic analysis of the electro-mechanical systems and the optimum design and the optimum control methods based on it. (1st Report, the basic idea of the unified method and the optimum design and the optimum control methods)

A unified method for dynamic analysis of electromechanical systems with nonlinear properties is proposed. Then the optimum design method, the optimum control method and mixed optimum design and control method based on the unified method are developed individually. To treat complicated mechanical systems with nonlinear properties, the electrical part is replaced by a mechanical one through the analogy existing between them. The unified method is developed together with any of three methods: the large matrix methods based on the Hamilton's principle and Toupin's principle and the incremental transfer matrix method. Optimum design and optimum control methods by making use of the sensitivities (or gradients) are shown individually and then the method to treat the mixed optimum design and optimum control problem is shown.