A commonly used modern approach to the design of controllers is the H_∞ design method; the purpose of this chapter is to present a tutorial on the method and how it can be used for the design of active vibration controllers. The essence of H_∞ design is that it accounts for the dynamical uncertainty of the model used for control. As both physical and empirical models tend to be approximate descriptions of the dynamics of the plant, control design tends to be based on inaccurate models. To achieve good performance this implies that control design should account for possible uncertainties. Design for uncertainty can be done by suitable implementations of H_∞ controllers. This chapter gives a tutorial introduction into H_∞ control for active vibration control. The presentation is much simplified so that the reader can appreciate the approach without extensive reading of the literature.

Inspec keywords: control system synthesis; vibration control; H∞ cbontrol

Other keywords: dynamical uncertainty; active vibration controller; model based control design; H_∞ controller design method; AVC

Subjects: Mechanical variables control