1992 Volume 28 Issue 3 Pages 383-391
The authors propose a method to design the optimum control system toward flexible structural systems. The mechanical structures used to be modelled by FEM. As a result, these models have large degrees of freedom. The small model can be obtained by identifying the spatial matrices of the structure from the frequency response functions calculated by FEM. The optimum control system is easily designed by applying the optimum control theory to the identified system. However, the stability of the control system is not always guaranteed because the machanical system is generally identified with small degree of freedom in which high order modes are ignored. An optimization method of the control system which guarantees the stability of the actual system of large degrees of freedom is proposed in this paper. The characteristics of both the identified and the actual systems are simultaneously optimized by the proposed method based on sensitivity analysis and nonlinear programming. An application to a FEM model and experimental result verify the effectiveness of the proposed method.
