Los sistemas tales como edificios y veh¨ªculos est¨¢n sujetos a vibraciones que pueden causar mal funcionamiento, incomodidad o colapso. Para mitigar estas vibraciones, se suelen instalar amortiguadores. Estas estructuras se convierten en sistemas adaptr¨®nicos cuando los amortiguadores son controlables. Esta tesis se enfoca en la soluci¨®n del problema de vibraciones en edificios y veh¨ªculos usando amortiguadores magnetoreol¨®gicos (MR). Estos son unos amortiguadores controlables caracterizados por una din¨¢mica altamente no lineal. Adem¨¢s, los sistemas donde se instalan se caracterizan por la incertidumbre param¨¦trica, la limitaci¨®n de medidas y las perturbaciones desconocidas, lo que obliga al uso de t¨¦cnicas complejas de control. En esta tesis se usan Backstepping, QFT y H2/H¡Þ mixto para resolver el problema. Las leyes de control se verifican mediante simulaci¨®n y experimentaci¨®n. / Buildings and vehicle systems are subject to vibrations that may cause malfunctioning, discomfort or collapse. It is an extended practice to install damping devices in order to mitigate such vibrations. With controllable dampers, structures act as adaptronic systems. This dissertation focuses on solving the vibration mitigation problem in buildings and vehicles making use of magnetorheological (MR) dampers which are controllable devices characterized by a highly nonlinear dynamics. Additionally, the systems where they are installed, are characterized by parametric uncertainties, limited measurement availability and unknown disturbances. This implies the use of complex control techniques in order to get a reliable performance of the control system. This research makes use of Backstepping, QFT and Mixed H2/H¡Þ control techniques for achieving the proposed goal. These are verified thorugh simulations and experimentation.