Abstract

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.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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