Disturbance Attenuation of LPV Systems with Bounded Inputs

A design technique is proposed for disturbance attenuation in linear parameter varying (LPV) systems with bounded inputs. The actuator constraints are handled via a typical LPV approach, in which the time varying parameter is related to the error between the command input and the actual input. Since these two signals are known in most applications, a standard LPV structure for the controller is possible. As a result, the design of controllers with bounded actuators is no more difficult – fundamentally – than the unconstrained control of the LPV system. For example, state feedback problem is convex and the output feedback problem is convex if all of the parameters are available on-line. Cases where the parameters are not available on-line (i.e., traditional robust problems), rate constraint or when the underlying Lyapunov matrix is itself parameter varying are also discussed.

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