Improved results of delay-dependent stability analysis in 3D printing control systems with time-varying delay

In the field of 3D printing, several factors affect the accuracy and robustness of printing results. The time-varying delay has a significant impact on the control of the 3D printing control system (3DPCS). To further optimize the control results, this paper focuses on the 3DPCS state space dynamic model and uses the Matrix-injection- based transformation method to deal with the derivative of Lyapunov-Krasovskii functional(LKF). Furthermore, combined with Reciprocally convex Inequality and Truncated B-L Inequality, the delay-dependent stability analysis and stabilization conditions for 3DPCS with reduced conservatism are derived. Finally, the simulation results show the superiority and improvement of this method compared with the previous research.