Luenberger Observer Gain Optimization in Model Predictive Control System for Car Active Suspension
MPC Driven control systems very often are requiring the introduction of a mechanism predicting the state of the object unavailable for measurements. Depending on the case, a different number of state variables will be unobtainable. Widely used systems to obtain essential data of the condition of an object are Luenberger state observer and different types of Kalman filters. The authors propose a new method of Luenberger observer synthesis based on Luenberger gain optimization using performance index corresponding to generalized system performance. The developed method allows us to obtain better-performing observer from the point of view of the adopted criterion, compared to similar estimators derived from the Sylvester equation and classic Kalman filters, even despite the occurrence of disturbances. The developed method will be presented on an example of an active suspension system with MPC.