International Journal of Control, Vol.90, No.9, 2031-2046, 2017
Frequency-limited H-infinity-controller order reduction for linear parameter-varying systems
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, which has the advantage to reduce the order in a specific frequency range. The approach is discussed and is proved to preserve the closed-loop stability with a guaranteed upper error bound. Effectiveness and performance of the obtained reduced-order controller are investigated by applying it to an automotive semi-active suspension control. The obtained simulation results showthat objectives such as the road handling and the passenger comfort realised with the reduced-order controller are kept in the same performance level as with the full-order controller. Moreover, a comparisonwith an other-order reduction method is shown and confirms the advantage of the developed method.
Keywords:Linear parameter-varying system;H-infinity-control;generalised reachability and observability Gramians;balanced truncation;semi-active suspension control