Design of Higher-Order Regulator System using Pole-Placement Technique

This paper deals with designing of higher-order single-input, single-output (SISO) regulator system by the use of pole-placement technique. For linear control systems, pole-placement is a well-established design method. In classical control designing, only dominant poles are considered however recent pole-assignment technique specifies all closed-loop poles (CLP). In this approach, we assumed that the system is completely state controllable (CSC), the state variable can be measured and feedback is available and the control input is not constrained. State-space regulators are known by many of the engineers either they are more complicated to understand or modeling of a system to design a robust and stable feedback loop is needed. However, state-space regulators are used in number of plants. In this paper, we have taken higher order systems (more than 3rd order system). A regulator system is a system in which the reference input is zero always. The pole-placement (PP) method is used in the development of the regulator. Inverted pendulum (4th order), Tape drive control (5th order) and Aircraft control (6th order) system are taken as example. The intention of this paper is to design of state feedback control, determine state feedback gain matrix (Kp) to meet the requirement and plot response of each state variable. The response of state variables are following the zero input because it is a regulatory system. MATLAB has been used for implementation.