Frequency-limited H∞-controller order reduction for linear parameter-varying systems

International audience; In this paper, a controller order reduction method for linear parameter-varying systems is presented.The proposed method is based on the frequency-weighted balanced truncation technique, whichhas the advantage to reduce the order in a specific frequency range. The approach is discussed and isproved to preserve the closed-loop stability with a guaranteed upper error bound. Effectiveness andperformance of the obtained reduced-order controller are investigated by applying it to an automotivesemi-active suspension control. The obtained simulation results showthat objectives such as theroad handling and the passenger comfort realised with the reduced-order controller are kept in thesame performance level as with the full-order controller.Moreover, a comparisonwith an other-orderreduction method is shown and confirms the advantage of the developed method.