Mixed FTS/H∞ control of vehicle active suspensions with shock road disturbance

ABSTRACT In consideration of the feature of shock road disturbance, the mixed finite-time stability (FTS)/ control problem for vehicle active suspensions is addressed in this paper. First, the definition of input–output finite-time stability (IO-FTS) with an bound is provided, and a sufficient condition guaranteeing the mixed IO-FTS/ performance for a linear system is proposed. Second, the control issue for a 2-DOF (degree of freedom) quarter-car active suspension with shock road disturbance is suitably formulated as a mixed FTS/ control problem. Then, sufficient criteria for the design of a state-feedback controller are presented, which can be reduced to the solvability of a linear minimisation problem with some fixed parameters. Finally, simulation results are given to show the applicability and effectiveness of the developed control methodology.

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