In this paper, 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.
We demonstrate that one can realize chaos synchronization between modified Wien-bridge circuit and its copy by linear feedback controller in this paper, and point out how to design the linear feedback controller. We also show that synchronization effect is related with the eigenvalues of Jacobian matrix J at equilibrium point of instability part of error dynamics system.
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