Shape control of thin deformable mirror with distributed piezoelectric sensors and actuators

Abstract

This paper presents shape control of a thin piezoelectric deformable mirror in order to compensate the form errors caused by disturbances. The finite element model describing the dynamics of the mirror was obtained by Hamilton’s principle and discretization was performed by nine nodes thin shell element according to the Kirchhoff-Love theory. The state space approach was used to generate matrices for control procedure. Because of the multivariable nature of the control problem involved in such structures and noise, the adaptive LQG-Kalman controller with multiple input-multiple output design was implemented to control the shape of the mirror. The proposed approach and related perspectives were finally discussed.