Adaptive appointed-time control for microelectromechanical system gyroscopes with uncertainties and limited sampling

In this paper, we propose an adaptive appointed-time control scheme for microelectromechanical system (MEMS) gyroscopes subjected to uncertainties and limited sampling. Firstly, in light of the aperiodic state information and concise structure, an aperiodic sampling-based extended state observer (AS-ESO) is explored to online recover the uncertainties, involving only two adjusting parameters and excluding the Zeno behaviors. In the sequel, an appointed-time prescribed performance control (APPC) is introduced to enhance transient and steady-state system responses, ensuring that the pre-devised tasks can be completed within a specified time. The main advantage of the proposed method lies in integrating an event-based sampler into the ESO module and proposing an APPC method, the suggested scheme can reduce sampling frequency and enable the completion of control tasks within a specified time frame. Furthermore, the stability of the closed-loop system is substantiated through Lyapunov analysis, while the effectiveness and superiority are demonstrated by simulation results.