Design of Controllers for Higher Order Systems

A method of parametric synthesis of the PID controller of the control system for high-order objects based on the modal method for linear systems with the location of complex-conjugate poles is proposed. The methodology provides for inspection of the controller parameters according to the algebraic criterion of stability of Routh-Hurwitz to change all positive values. On the example of designing a PID controller of the control system for the object of the fourth order, the efficiency of the technique is demonstrated.