A shifting pole placement approach for the design of parameter-scheduled state-feedback controllers

In this paper, the problem of designing a parameter-scheduled state-feedback controller is investigated. The main novelty and contribution of this paper is the extension of the classical regional pole placement problem, that will be referred to as shifting pole placement, to the design of parameter scheduled controller taking advantage of polytopes and LMIs properties. By introducing some parameters, or using existing ones, the controller can be designed in such a way that different values of these parameters imply different regions where the closed-loop poles are situated. The problem is analyzed in both linear time-invariant (LTI) and parameter-varying (LPV) cases, and some results obtained in simulation are shown so as to demonstrate the effectiveness of the proposed approach.