Work

Multiplicity-Induced-Dominancy Extended to Neutral Delay Equations: Towards a Systematic PID Tuning Based on Rightmost Root Assignment

Year: 2020

Type: conference-paper

Abstract: Recently, the conditions on a multiple spectral value to be dominant for retarded time-delay system with a single delay were deeply explored. Such a property was called Multiplicity-Induced-Dominancy. It was then exploited in the design of delayed stabilizing controllers. As a matter of fact, the approach is merely a delayed-output-feedback where the delay and gain candidates result from the manifold defining the maximal multiplicity of a real spectral value. This can also be seen as a "partial" pole-placement method, which, unlike the methods based on finite spectrum assignment, does not render the closed loop system finite-dimensional but consists in appropriately controlling its rightmost spectral value. This work aims to extend such a design approach to time-delay systems of neutral type occurring in the classical problem of PID stabilizing design for SISO delayed plants. More precisely, the controller's gains (ki, kp, kd) are tuned using the intentional multiplicity's algebraic constraints allowing to the stabilization of unstable delayed plants. Among others, one of the specificity of such a design method is related to the analytical assignment of the closed-loop solution's decay rate.

Source: Proceedings of the ... American Control Conference/Proceedings of the American Control Conference

DOI: 10.23919/acc45564.2020.9147341

Authors: Dan Ma, Islam Boussaada, Catherine Bonnet, Silviu-Iulian Niculescu, Jie Chen