Linear quadratic control of LPV systems using static and shifting specifications

This paper extends some recent results about linear quadratic control (LQC) using linear matrix inequalities (LMIs) to linear parameter varying (LPV) systems. At first, static specifications, where the weighting matrices are constant, are considered. Later, the concept of shifting linear quadratic control (SLQC), where some varying parameters are introduced and used to schedule not only the controller, but the weighting matrices too, is considered. A numerical example is used to illustrate the application of the proposed theory.