Insights on Pole-Placement of Dynamical Systems by PID Control with Guaranteed Delay Robustness

摘要

The PID control is favored in controlling industrial processes for its ease of implementation. In this paper, the multiplicity-induced-dominancy property is used in the design of stabilizing PID controllers for some delayed reduced-order plants. More precisely, the controllers gains are tuned using the multiplicity’s algebraic constraints allowing to assign analytically the closed-loop solutions’ decay rate. Furthermore, the robustness of the control against uncertain delays is also addressed. An illustrative example completes the presentation.