Weight optimization for H∞ loop shaping method using frequency response data for SISO stable plant

Abstract

The H∞ loop shaping method is known as one of the robust controller design methods. In this method, the design procedure consists of two steps; weight design and derivation of stabilizing controller. Thereby, the closed-loop system achieves good tracking and robustness. However, the explicit index for the weight design has not been proposed. As a result, a time-consuming and tedious process is often required. This paper provides a new weight design method for a stable SISO plant. The resulting weight guarantees the desired performance level of the designed controller in advance of the controller design. However, the weight is designed using only frequency responses, and the time-consuming and tedious process such as system identification is not needed.