This study investigates a control methodology for dynamic systems based on representing all possible system responses under all possible values of the control variables. The underlying idea is to extend the system along the “control dimension” and explicitly account for the dependence of the system state on control variables. A spectral discretization along the “control dimension” is employed. The optimal control values are chosen to obtain the desired system response. Numerical studies for the control of linear and nonlinear quarter car models riding on various terrain profiles show promising results.

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