An Approach to Pole Placement Method with Output Feedback

In this paper, we have presented a simple method in order to solve the pole placement problem of linear output feedback systems with state space models. Pole placement is a control method assigned to arbitrary closed loop poles by state or output feedback. In linear systems, poles have influence on stability, system response, transient response, and band width. Pole placement methods are used in the design of different control systems. This paper presents a numerical algorithm for pole placement with output feedback. Earlier, a method based on Sylvester’s equation had been applied to pole placement with state feedback. In our work, this method is applied to pole placement with output feedback. It has been obtained by using generalised inverse approach. The pseudo-inverse C of an m-by-n output matrix C caused a problem while output feedback matrix Ko is calculated. The generalised inverse approach is used for overcoming this problem. It is shown that real different poles and repeated poles are assigned via output feedback by using the given algorithm. The efficiency of the algorithm is denoted with several extensive numerical examples. Also the performance of the method is tested for different poles on various systems. The results are compared with generalised mapping approach.