1) The document describes the design of optimal and robust controllers for a quarter car active suspension system using LQR and μ-synthesis control methods. 2) Mathematical models of the quarter car system and various road disturbances are presented. 3) LQR and μ-synthesis controllers are designed in MATLAB and tested on the quarter car model under different road disturbances to maximize ride comfort and handling. 4) Simulation results show the effectiveness of the active suspension system with the μ-synthesis controller.