LMI based stabilization of a class of switching LPV systems

The stabilization problem of a class of discrete-time LPV systems is considered. The plant switches among different operating conditions and, as long as the process operates in a fixed mode, the physical parameters are varying inside a known compact set. The possibility of noisy parameter measurements is taken into account, the measure and the control matrices corresponding to each mode are assumed to be known and time-invariant. The problem solvability conditions are stated in terms of feasibility of a set of LMIs, and the closed-loop stability is proved assuming a sufficiently long permanence of each mode.