Constrained H∞ control for discrete-time LPV systems using interpolation

The paper proposes an interpolation based control method as a possible solution to the constrained H_∞ control of discrete-time, linear parameter varying (LPV) systems. The control policy is constructed by interpolating among a priori designed, unconstrained state feedback controllers. The predefined H_∞ performance level remains guaranteed under hard state and input constrains. By applying invariant set theory it is also shown that the domain of applicability of the proposed control method is significantly larger than that can be achieved by any, single state feedback.