Optimal Second Order Integral Sliding Mode Based Composite Nonlinear Feedback Approach for an Electrostatic Micromirror

Abstract

In this article, an optimal second order integral sliding mode based composite nonlinear feedback (SOISM-CNF) controller is presented for an electrostatic micromirror. The proposed controller is able to improve the transient performance and guarantee robustness against uncertainties simultaneously. A tabu search and particle swarm optimization (TS-PSO) algorithm is used to solve the parameter tuning problem. The input saturation issue is considered in the SOISM-CNF controller design. The stability of closed-loop system is proved by Lyapunov stability theory. The simulation results demonstrate the effectiveness of SOISM-CNF controller with guaranteed transient performance under the external disturbances.

Keywords

• Composite nonlinear feedback
• second order sliding mode control
• particle swarm optimization
• electrostatic micromirror