Discrete-time frequency-shaping parametric LQ control with application to active seat suspension control

The theory of a discrete-time parametric linear quadratic (PLQ) control is extended to a class of frequency-shaped performance measures. The incorporation of frequency-dependent weighting matrices allows the emphasis or de-emphasis of the importance of the system variables being penalized over specific bands of frequencies. Results are presented for constant-gain and dynamic output feedback configurations of frequency-shaping optimal control. The resultant control is applied to the design of active seat suspension control. The active suspension maximizes ride comfort by discriminatory minimization of average whole-body absorbed power over a band of frequencies that causes the most discomfort to a human being