CONTROL OF A CART WITH A DISSIPATIVE OSCILLATOR
A control problem for a system, consisting of a rigid body with a viscoelastic link is considered. Such a system is modelled as a cart with a linear dissipative oscillator attached to it. The cart moves along a horizontal line under the action of a control force and unknown disturbance, for example, dry friction, the parameters of which are unknown and impermanent. The phase state of the oscillator is assumed to be not available for measuring. A bounded feedback control which brings the cart
to a prescribed terminal state in a finite time is proposed.