Two Controller Design Procedures Using Closed-Loop Pole Placement Technique

In this paper, we present two procedures for controller design to an input-output control system using the closed-loop pole placement method, such that the open-loop system is either simple or double integrator. If all the poles of the closed-loop system are chosen real and negative to stabilize the system, then the controller is stable. In addition, the designed controller is also stable for any pole polynomial of the closed-loop system if the pole-zero excess of the plant is at most 4. The both controller design procedures provide a unique solution for the closed-loop pole placement to have a small response time of the closed-loop system, a given overshoot and an imposed value of the magnitude coefficient of the control variable. Notice that the first design procedure generalizes the controller tuning relations from the Kessler variant of the Modulus Criterion.

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