System Analysis and Control Design for a Membrane with Bimorph Actuators
System Analysis and Control Design for a Membrane with Bimorph Actuators
- New search for: Ferhat, Ipar
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- New search for: Ferhat, Ipar
- New search for: Sultan, Cornel
A square membrane structure with clamped edges and four lead zirconate titanate bimorph actuators is modeled using Kirchhoff’s plate theory. Two systems are considered, defined by the relative location of the actuators on the membrane. The finite element method is used to generate linear time-invariant models in the second-order form. The number of elements used in the finite element method is determined via a systematic analysis based on the convergence of fundamental natural frequencies and mode shapes. Characteristics that are essential for system analysis and control design such as stability, controllability, and observability are investigated using methods based on the linear time-invariant first-order form of the linear equations of motion and methods based on the linear time-invariant second-order form directly generated via the finite element method. Comparisons between the accuracy and reliability of these methods are performed. Next, modern control problems aimed at minimizing vibrations and the control energy are formulated using the linearized equations of motion. The feasibility of using the linear time-invariant second-order form in solving these problems is illustrated. Comparisons of responses to initial conditions perturbations for systems that rely only on material damping and systems that rely on a control system to damp out membrane vibrations are performed, indicating the effectiveness of modern feedback control in damping out vibrations.
Document information
System Analysis and Control Design for a Membrane with Bimorph Actuators
AIAA Journal ; 53 , 8 ; 2110-2120
2015-06-08
11 pages
Article (Journal)
Electronic Resource
English
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