robust lyapunov-based control of mems optical switches

in this paper, a robust pid control scheme is proposed for micro-electro-mechanical-systems(mems) optical switches. the proposed approach is designed in a way which solves twochallenging and important problems. the first one is successful reference tracking and the second ismitigating the system nonlinearities. the overall system composed of nonlinear mems dynamicsand the pid controller is proven to be uniformly-ultimately bounded (uub) stable in agreementwith lyapunov’s direct method in any finite region of the state space. since the unmodeled butbounded dynamics of the system is systematically encapsulated in the system model, the onlyinfluence that this imposes on the stability is the respective bounds on the controller gains. thecontroller design strategy is simple and practicable with low computation burden which makes iteasy to apply for control of mems optical switch. it also forms a constructive and conservativealgorithm for suitable choice of gains in pid controller. the effectiveness of the proposed controllaw is verified through simulations in matlab/simulink. it is shown that the proposed controllaw ensures robust stability and performance despite the modeling uncertainties.