Stability region for a class of open-loop unstable linear systems: Theory and application
Saturation of the control inputs of an open-loop unstable plant may result in closed-loop instability. Therefore, the knowledge of the stability region is necessary to determine the maximum allowable control moves/disturbances before the system is driven out of control. The problem of determining the stability region (SR) of an open unstable system under a bounded feedback control and the problem of deploying the SR in design has been investigated in many papers. Here, a method to calculate the maximum obtainable SR is given for the case of one unstable pole. Necessary stability conditions are found for the case of \(n\)-order systems with one input. Optimum controllers for unstable linear time invariant (LTI) systems with a constrained input are given. The results of the paper are illustrated by means of two numerical examples and experiments on the real COMPAS-D tokomak.
scientific article; zbMATH DE number 1389423
scientific article