Control method for flexible carbon cantilever beam actuated by smart material

A control system for a flexible carbon cantilever beam actuated by a smart material, comprising an acquisition module and a control module;

• wherein
• the acquisition module is configured to acquire an elastic displacement of the flexible carbon cantilever beam in real time as input data;
• the control module is configured to obtain, based on the input data, a control torque through a distributed parameter model constructed in advance, and perform vibration control on the flexible carbon cantilever beam;
• wherein, a method for constructing the distributed parameter model comprises:
• A10:
• calculating a tip rotation based on a displacement of one end of the flexible carbon cantilever beam and a length of the smart material strip, wherein a surface of the flexible carbon cantilever beam is attached by a smart material strip, wherein the smart material strip is bent due to an excitation voltage applied, and constructing a linear relationship model between the excitation voltage and the tip rotation through a black box model;
• A20:
• obtaining a mapping relationship between the excitation voltage and a bending moment of the smart material strip according to a relationship between a curvature radius of a neutral layer and the bending moment when the flexible carbon cantilever beam is bent and in combination with the linear relationship model, and constructing a kinetic model of the smart material strip;
• A30:
• calculating a kinetic energy, an elastic potential energy and a virtual work of the flexible carbon cantilever beam according to the kinetic model of the smart material strip, wherein the virtual work is done by a non-conservative force comprising no damping force, and constructing, in combination with a Hamilton's principle, an undamped distributed parameter model of the flexible carbon cantilever beam as a first model;
• and
• A40:
• calculating a virtual work done by the non-conservative force plus a viscous damping force and a structural damping force on the flexible carbon cantilever beam, and constructing, in combination with the first model, a damped distributed parameter model as the distributed parameter model.