An LMI approach to multiobjective RMS gain control for active suspensions

Conflicting performance requirements for active suspensions are specified separately in the term of RMS gain and formulated then independently into a multiobjective RMS gain problem. An optimal state feedback solution is proposed based on LMI and multiobjective control techniques, where various uncertainties of vehicle systems can be considered. Moreover, pole placement constraints can be recast easily in LMI terms. It is shown that robust performance are guaranteed for the closed-loop system. Simulation results for a 2 DOF quarter-car model are presented.