Control of differential repetitive processes with regional pole constraints

Abstract

This paper develops a new set of conditions for the strong practical stability and stabilization of linear differential repetitive processes, where controller design includes regional pole constraints. The proposed stability conditions reduce the problem of determining whether a linear repetitive process is stable (in sense of strong practical stability) or not to that of checking for the existence of a solution to a set of linear matrix inequalities (LMIs). The resulting conditions overcome some drawbacks of already known results and allow control law design in the presence of practically motivated design specifications such as regional constraints on the location of the eigenvalues of the limit profile matrices of the controlled process. The validity of the developed results are demonstrated by numerical example.