Design of a 1-Bit MEMS Gyroscope Using the Model Predictive Control Approach

Area of Science:

• * Electrical Engineering and Micro-systems
• * Control Systems Engineering

Background:

• * Model Predictive Control (MPC) is widely used for its ability to manage system constraints.
• * Micro-electro-mechanical systems (MEMS) gyroscopes require efficient control strategies for practical implementation.
• * Bi-level Delta-Sigma modulators offer a 1-bit output, presenting unique control challenges and opportunities.

Purpose of the Study:

• * To develop a novel 1-bit processing-based Model Predictive Control (MPC) for MEMS gyroscope design.
• * To leverage the 1-bit output of a bi-level Delta-Sigma modulator within an MPC framework.
• * To reduce the computational complexity of MPC for feasible MEMS gyroscope implementation.

Main Methods:

• * Design of a 1-bit processing-based MPC (OBMPC) by integrating a bi-level Delta-Sigma modulator output with MPC.
• * Exploitation of the affine relationship between 1-bit feedback and the in-loop MPC controller to eliminate multipliers.
• * Development of a stable constrained MPC to prevent quantizer overload and maintain Signal-to-Noise Ratio (SNR).

Main Results:

• * Significant alleviation of computational requirements for MPC control in MEMS gyroscopes.
• * Demonstration of feasibility for implementing a 1-bit MEMS gyroscope using the proposed OBMPC.
• * Achieved stable control, preventing quantizer overload while preserving a high SNR.

Conclusions:

• * The proposed OBMPC approach offers a computationally efficient control strategy for MEMS gyroscopes.
• * This method makes advanced MPC feasible for 1-bit MEMS gyroscope implementations.
• * The design ensures system stability and optimal performance by managing constraints and maximizing SNR.