A DECENTRALIZED ROBUST PID CONTROLLER DESIGN FOR THE SHAPE CONTROL OF A MAGNETIC FLUID DEFORMABLE MIRROR

This article presents a systematic approach to the design of a decentralized robust PID controller to regulate the surface shape of a magnetic fluid deformable mirror (MFDM). The proposed approach offers the simplicity of the decentralized controller implementation while accounting for robustness and performance constraints. The controller design problem is formulated as a multi-objective H-infinity/H-2 static output feedback problem. The desired controller is obtained by iteratively solving properly formulated linear matrix inequalities (LMIs). Finally, the experimental evaluation of the proposed controller performance on a MFDM-based adaptive optics system illustrates the effectiveness of the proposed MFDM surface shape control approach.