Customized Non-Monotonic Prescribed Performance Control for Stochastic MEMS Gyroscopes With Insufficient Input Capability

This paper proposes a novel prescribed performance control scheme for stochastic micro-electro-mechanical system (MEMS) gyroscopes, addressing three critical issues overlooked by existing methods: control torque oscillation during rapid convergence, deviation in steady-state tracking errors in a global asymmetric design, and violation of monotonic constraints due to insufficient input capability. To tackle these challenges, the paper proposes a quadratic prescribed performance function design, a local asymmetric constraint design, and a customized non-monotonic design. These innovations effectively resolve the technical difficulties and establish comprehensive performance specifications for stochastic MEMS gyroscopes. The proposed scheme ensures boundedness in probability for all closed-loop signals and convergence of the tracking error to an arbitrarily small residual within a prescribed time. Simulation results confirm the effectiveness and superiority of the scheme.