A control method and system for a MEMS based on a gain strategy
A technology of micro-electronic machinery and control methods, applied in the field of control, can solve problems such as discontinuous controllers, chattering, and complicated controller forms, and achieve simple and effective controller forms, simple control design process, and simple controller forms Effect
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Embodiment 1
[0050] See attached Figure 4 As shown, the present embodiment discloses a control method of a MEMS based on a gain strategy. First, according to the internal operation mechanism of the MEMS, a mathematical model is established; a controller with a gain coefficient form is designed for it, Then, with the help of the static gain method, the original system state is transformed to obtain a new system; the Lyapunov function is constructed for the new system, and the derivative of the Lyapunov function is initially scaled by matrix inequality and Yang inequality; determine After analyzing the size of the static gain coefficient, the derivatives of the Lyapunov function are finally sorted out, and finally it is proved that this scheme realizes the design goal that the displacement and acceleration of the MEMS in the X and Y axis directions are asymptotically zero. The control strategy of the invention is simple, the controller is concise, and it is easy to operate and realize.
[00...
Embodiment 2
[0102] The purpose of this embodiment is to provide a computing device, including a memory, a processor, and a computer program stored in the memory and operable on the processor. When the processor executes the program, the following steps are implemented, including:
[0103] According to the internal operation mechanism of the MEMS, the internal relevant information of the system is quantified and processed, and the dynamic model of the MEMS is established;
[0104] Establish a controller to achieve the goal of asymptotically stable control of the system signal;
[0105] Coordinate transformation of the MEMS dynamic model system state to obtain a new system, and bring the established controller into the new system;
[0106] Construct the Lyapunov function based on the new system, derive the Lyapunov function, and determine the size of the static gain coefficient;
[0107] The derivatives of the Lyapunov functions are sorted out, and the controller ensures that the signal of t...
Embodiment 3
[0109] The purpose of this embodiment is to provide a computer-readable storage medium.
[0110] A computer-readable storage medium, on which a computer program is stored, and when the program is executed by a processor, the following steps are performed:
[0111] According to the internal operation mechanism of the MEMS, the internal relevant information of the system is quantified and processed, and the dynamic model of the MEMS is established;
[0112] Establish a controller to achieve the goal of asymptotically stable control of the system signal;
[0113] Coordinate transformation of the MEMS dynamic model system state to obtain a new system, and bring the established controller into the new system;
[0114] Construct the Lyapunov function based on the new system, derive the Lyapunov function, and determine the size of the static gain coefficient;
[0115] The derivatives of the Lyapunov functions are sorted out, and the controller ensures that the signal of the MEMS is...
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