Stabilization of linear system behaviour by pole shifting

Abstract

The problem of determining the output feedback control matrix such that the system is as stable as possible is considered from the point of view of minimizing the real part of the least stable eigenvalue of the system. To ensure reasonable control and system behaviour, minimum and maximum constraints are placed on each element of the feedback matrix. An effective algorithm is given to carry out the pole shifting. The feasibility of the approach is illustrated with an eight-state three-feedback linearized model of a divided winding rotor synchronous machine and a linear six-plate gas absorber.