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

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