A case study of the multiobjective H2/H∞ control via finite dimensional Youla parameterization and LMI optimization

This paper presents the employment of the multiobjective H₂/H_∞ optimal controller based on the finite dimensional Q-parameterization and linear matrix inequalities to the realistic design example of the ACC benchmark system. This simple mechanical system captures many of the challenging robust control issues of more complex applications. As the simulation results show, the designed controller is able to achieve robust stability to real parameter variation as well as to reject the impulse disturbance.