The purpose of this thesis is to study the active robust control for the flexible slider-crank linkage mechanism with piezoelectric films using genetic algorithms. The instability caused by the inertia force that is induced by the high-speed rotation flexible slider-crank linkage, mode truncation, parameter uncertainties, and spillover effect due to the residual modes of structure. For the application of the mechanical structure system, a mathematical model for a slider-crank linkage mechanism with piezoelectric films is developed in conjunction with finite element method (FEM), and the lower frequency modes are separated into controlled modes and residual modes. For the robustness of the system, a robust stability condition and genetic algorithms are employed to ensure the stability of the system under the parameter uncertainties and spillover effect simultaneously. Numerical simulation is performed to the control methodology with genetic algorithms can suppress deform of flexible slider-crank linkage mechanism operating at high speeds, and the instability caused by the parameter uncertainties and spillover effect can be avoided.