Abstract
This paper proposes a novel prescribed per-
formance 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 bound-
edness in probability for all closed-loop signals and conver-
gence of the tracking error to an arbitrarily small residual
within a prescribed time. Simulation results confirm the effectiveness and superiority of the scheme.
formance 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 bound-
edness in probability for all closed-loop signals and conver-
gence of the tracking error to an arbitrarily small residual
within a prescribed time. Simulation results confirm the effectiveness and superiority of the scheme.
| Original language | English |
|---|---|
| Journal | IEEE Transactions on Circuits and Systems I: Regular Papers |
| DOIs | |
| Publication status | Published - 14 May 2025 |