Frequency-limited H∞-controller order reduction for linear parameter-varying systems. Issue 9 (2nd September 2017)

• Record Type: Journal Article
• Authors: Zebiri, Hossni; Mourllion, Benjamin; Basset, Michel
• Is Part Of: International journal of control. Volume 90:Issue 9(2017)
• Page Start: 2031
• Page End: 2046
• Publication Date: 2017-09-02
• Subjects: Linear parameter-varying system -- H∞-control -- generalised reachability and observability Gramians -- balanced truncation -- semi-active suspension control; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1233482
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: 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 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.