Disc-Pole Assignment for Robust Control of Flexible Structures.

This paper presents a method of disc-pole assignment for the design of robust control of flexible structures. The proposed method achieves a pole assignment of the controlled modes to a specified circular region in the complex plane and simultaneously obtains robust stability of the closed-loop system for important residual modes. The inverse bilinear transformation is used to obtain the conditions for assigning the poles to a specified circular region in the complex plane, and the proposed robust control design problem is formulated as a nonlinear optimization problem subjected to these conditions. The feasibility of the design method is examined by numerical simulations.