Static output-feedback ℋ∞ design for vehicle suspension based on an iterative linear matrix inequality algorithm

Abstract

This paper deals with design of a static output-feedback H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller for vehicle suspension system. A quarter car model, which captures many features of real structures, is used in this study. The proposed design method is based on an iterative linear matrix inequality (ILMI) algorithm. System parameter variations are cast into polytopic uncertainty and in the design procedure are taken into account. Readily measurable outputs are used as feedback signals. For the sake of comparison, also a dynamic H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller under the same design requirements is designed. System performance using both controllers are assessed and compared with each other. Numerical data, time and frequency domain simulations demonstrate the effectiveness of the the proposed simple structure controller.