Off-road vehicles experience many disturbance inputs as they traverse over rough roads. An active suspension system can be controlled by a sensor that looks "ahead" at the road conditions. An example of a simple suspension system that can accommodate the bumps is shown in Figure E2.12. Find the appropriate gain K1 so that the vehicle does not bounce when the desired deflection is R(s) = 0 and the disturbance is Td(s).

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Bump disurbance Preview of disturbance TAts) Vehicle dynamics Desined RS) deten horezontal FIGURE E2.12 Active suspension system