Micromirror Controller Notch Filters Suppress Higher Order Resonances
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Solution Overview
Problem
Conventional controllers for micromechanical actuators inadequately attenuate higher order resonances, leading to unwanted oscillations, despite effectively managing the first resonant frequency.
Innovation Solution
Incorporating a first and second manipulated variable filter, each with a specific transfer function, to suppress predefined third and fourth frequencies in the modified manipulated variable signal, generating a filtered signal that prevents excitation of resonant frequencies without increasing the controller's bandwidth complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the bandwidth of the controller core is increased to suppress higher order resonant frequencies, then the attenuation of higher order resonances is improved, but the technical complexity of the controller increases
Solution Approach 1:
The controller is segmented into functional modules: a controller core for basic control, a differentiator for derivative calculation, and multiple manipulated variable filters (first and second) for targeted frequency suppression. Each module handles a specific aspect of the control task, allowing effective attenuation of higher order resonances without requiring the entire controller to be overly complex.
Solution Approach 2:
Manipulated variable filters are introduced as intermediary components between the controller core and the micromechanical actuator. These filters selectively attenuate specific frequency ranges (higher order resonances) without affecting the overall control bandwidth, thus suppressing unwanted oscillations while maintaining system stability and avoiding increased controller complexity.
2Stability of the object's composition
If manipulated variable filters are added to suppress specific resonant frequencies, then the stability of the micromechanical actuator is improved, but the device complexity increases
Solution Approach 1:
The manipulated variable filters are configured with specific transfer functions that have distinct frequency characteristics. The first manipulated variable filter targets a first frequency range while the second filter targets a second frequency range, allowing selective attenuation of different higher order resonances. This parameter-based differentiation enables precise stability control without requiring complex adaptive mechanisms.
Solution Approach 2:
Rather than attempting to suppress all frequencies across the entire bandwidth, the solution applies partial action by targeting only the specific frequency ranges where higher order resonances occur. The manipulated variable filters are designed to attenuate only the necessary frequency components, avoiding unnecessary complexity in handling the full spectrum.
Data Source
AI summary
A controller for controlling a micromechanical actuator having a setpoint input for receiving a setpoint signal, an actual-value input for receiving an actual-value signal, a setpoint filter to attenuate a first predefined frequency or a first predefined frequency band in the received setpoint signal to generate a filtered setpoint signal, a differentiator to generate a time derivative of the received actual-value signal; a controller core to generate a manipulated variable signal based on a system deviation between the filtered setpoint signal and the actual-value signal; a phase rotation element to modify the phase of the difference between the manipulated variable signal and the derivative of the actual-value signal for a second frequency or in a predefined second frequency band to generate a modified manipulated variable signal; and a first manipulated variable filter to suppress a predefined third frequency in the modified manipulated variable signal.