Simultaneous Stabilization of Single-Input Single-Output Discrete-Time Systems

Abstract

This paper considers the problem of finding one compensator which simultaneously stabilizes a family of singe-input single-output (SISO) discrete-time plants. The family of plants is described by the transfer functions. A number of assumptions describing the set of allowable plants are then given. These assumptions include some regularity conditions on the plants and a minimum-phase requirement. The satisfaction of these assumptions guarantees the existence of a strictly proper stable compensator C(z)for simultaneous stabilization. An iterative computation method is provided for control desgin.