A periodic H-2 state feedback controller for a rotor-blade system

Author(s)

Camino, J. F. ; Santos, I. F. ; Desmet, W ; Pluymers, B ; Moens, D ; Rottiers, W

• Document type: Journal article
• Source: PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2018) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2018); v. N/A, p. 13-pg., 2018-01-01.

Abstract

Many engineering applications have as their main component rotor-blade systems whose dynamics can be represented by a linear time-varying model. Since rotor-blade systems exhibit periodic dynamics, standard linear time-invariant analysis and synthesis techniques cannot be directly used and are not able to guarantee closed-loop stability and performance. Although there exist many results for periodic systems, the design of controllers for such systems is, in general, a difficult task. Its practical application is challenging, from the computational and experimental aspects. This paper presents the application of a periodic H-2 control problem in a rotor-blade system in order to attenuate the tip vibration. The proposed control design is based on a periodic Riccati differential equation (PRDE). The Floquet-Lyapunov theory is used to represent the dynamics in an adequate coordinate system, so that the PRDE can be efficiently solved. A robustness analysis is also perfomed. Numerical experiments show the effectiveness of the proposed approach. (AU)

• FAPESP's process: 17/18629-3 - Parameters identification of rotating systems subjected to fluid film bearings nonlinearities and wear
• Grantee: Katia Lucchesi Cavalca Dedini
• Support Opportunities: Research Grants - Visiting Researcher Grant - International