Abstract
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The paper presents a fuzzy static output feedback controller design approach for vehicle
electrohydraulic active suspensions based on Takagi–Sugeno (T–S) fuzzy modeling technique.
The T–S fuzzy model is first applied to represent the nonlinear dynamics of an
electrohydraulic suspension. Then, the fuzzy static output feedback controller is designed
for the obtained T–S fuzzy model to optimize the H performance of ride comfort through
the parallel distributed compensation scheme. The sufficient conditions for the existence
of such a controller are derived in terms of linear matrix inequalities (LMIs) with an
equality constraint. A computational algorithm is presented to convert the equality constraint
into a LMI so that the controller gains can be obtained by solving a minimization
problem with LMI constraints. To validate the effectiveness of the proposed approach,
two kinds of static output feedback controllers, which use suspension deflection and
sprung mass velocity, and suspension deflection only, respectively, as feedback signals,
are designed. It is confirmed by the simulations that the designed controllers can achieve
good suspension performance similar to that of the active suspension with optimal skyhook
damper.