Abstract
ABSTRACTIn 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 show that 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 comparison with an other-order reduction method is shown and confirms the advantage of the developed method.
Highlights
Most of physical systems are inherently non-linear and almost all of them have parameter dependent representations
Note that the stated techniques are developed for the stable LTI-systems and no guarantee is given to preserve the passivity of the systems. Recent work in this direction are given in [LYG14, LYG15] where the H∞-norm of the error is bounded and the positive realness of the obtained model is guaranteed. Based on these recent results in the literature, the aim of this paper is to adapt the FWBT method ([GA04]) in order to reduce the order of an H∞-Linear Parameter Varying (LPV) controller
The obtained results show its effectiveness to preserve the closed-loop stability and to respect the required performance specifications. The comparison with another existent LPV order-reduction technique based on the the classical BT, confirms the contribution of the proposed method
Summary
Most of physical systems are inherently non-linear and almost all of them have parameter dependent representations. Considering those aspects and the advantages of linear control theory, more and more control strategies use Linear Parameter Varying (LPV) models. As operating conditions may change, the closed-loop performance designed by an LTI controller may be degraded. To overcome this problem, the design of parameter dependent controller is more suitable. A major part of the recently developed control strategies is based on optimal and/or robust control. The H∞-control strategies have the advantage to design controllers
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