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An analytical investigation of a half-car model with passenger dynamics, subjected to random road disturbance, is performed. Two di erent methods of de ning the performance index for optimal controller design are proposed. Nondeterministic inputs are applied to simulate the road surface conditions more realistically. Results obtained illustrate that using an optimal statefeedback controller, with passenger acceleration included in the performance index, would exhibit not only an improveddoi:10.1139/tcsme-1995-0027 fatcat:gyzojok7nbdi3nop72mdtbxes4