A response spectral decomposition approach for the control of nonlinear mechanical systems
by Corina Sandu, Adrian Sandu, Brendan J. Chan, Mehdi Ahmadian
International Journal of Heavy Vehicle Systems (IJHVS), Vol. 15, No. 1, 2008

Abstract: 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 discretisation along the 'control dimension' is employed. The optimal control values are chosen to obtain the desired parameterised system response. This approach has the advantage of allowing an inexpensive search for the optimal control values at each time increment without having to run the full nonlinear dynamic model. Numerical studies for the control of linear and nonlinear quarter-car models riding on various terrain profiles show promising results.

Online publication date: Fri, 25-Apr-2008

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