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Conference paper

A periodic H2 state feedback controller for a rotor-blade system

In Proceedings of the International Conference on Noise and Vibration Engineering — 2018
From

University of Campinas1

Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark2

Department of Mechanical Engineering, Technical University of Denmark3

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 H2 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.

Language: English
Publisher: Katholieke Universiteit Leuven
Year: 2018
Proceedings: 28th International Conference on Noise and Vibration Engineering (ISMA 2018)International Conference on Noise and Vibration Engineering
Types: Conference paper
ORCIDs: Santos, I. F.

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