An H∞ Design of Disturbance Observer for a Class of Linear Time-invariant Single-input/Single-output Systems

• DOI: 10.1007/s12555-019-0045-1
• Publication Date: 2020-01-23T08:03:06Z
• Authors: Hyung-Tae Seo; Soohyun Kim; Kyung-Soo Kim
• Keywords: 0209 industrial biotechnology; 02 engineering and technology

In the paper, a generalized H∞ framework for design of a disturbance observer (DOB) is newly presented for a class of linear time-invariant single-input/single-output systems. Motivated by the systematic synthesis of a stabilizing controller through the H∞ optimization, we formulate the DOB design method into an H∞ design problem with weighting functions in the frequency domain. Thanks to its generality, the proposed method can be consistently applied either to the unstable systems or the non-minimum phase systems. Through the examples, the efficacy of the method is validated.