The control to eliminate impulse for a class of singular interval systems

Abstract

The problem of eliminating impulse for a class of interval singular systems was considered in this paper. Firstly, the impulse control problem for interval singular systems discussed in this paper was transform into uncertain singular systems. Secondly, using orthogonal transformation, the uncertain singular systems was transform into the singular standard form to be discussed, then a sufficient condition which there is a output feedback controller such that the closed-loop systems impulse-free was given by means of the properties of spectral radius, more over, the designing steps for eliminating impulse for singular interval systems were given. Base on the results, the existence of a output feedback controller with perturbation such that the closed-loop systems is impulse-free was discussed later. Finally, a numerical example was presented to illustrate the feasibility of the main result in this paper.