Dynamic output-feedback H _∞ control for active half-vehicle suspension systems with time-varying input delay

This paper addresses the new output-feedback H_∞ control problem for active half-vehicle suspension systems with time-varying input delay. By introducing multi-objective synthesis, a new dynamic output-feedback H_∞ controller is designed such that the closed-loop suspension system is asymptotically stable with guaranteed robust performance in the H_∞ sense. The proposed controller is formulated in terms of linear matrix inequality (LMI) based on the auxiliary function-based integral inequality method and the reciprocally convex approach. A new delay-dependent sufficient condition for the desired controller offers a wider range of control input delay. Numerical examples are provided to validate the effectiveness of the proposed design method.