Digital redesign of uncertain systems with state and input delays using evolutionary programming

This paper presents two novel issues: (i) digital modeling of the analog uncertain system in the presence of state and input delays and unstructured large parametric uncertainties; and (ii) digital redesign of the analog robust output tracking controller for the parametric uncertain system with state and input delays. The Newton's forward formula together with the evolutionary programming (EP) is utilized to find an equivalent discrete-time time-delayed parametric uncertain model of the continuous-time parametric uncertain system with multiple delays in both the state and input. Also, based on the EP global optima-search technique, the integration of the available analog robust controller and a parameter tuning algorithm is established to find a practically implementable "best" digital controller for the analog time-delayed uncertain system. The worst-case parameter set obtained from the analog time-delayed uncertain system with respect to the implemented "best" digital controller is searched to show the capability of the proposed robust digital controller.