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Stabilization Region of PD Controller for Unstable First Order Process with Time Delay
Juan Francisco Marquez-Rubio,Basilio del Muro-Cuéllar,José Álvarez Ramírez 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.2
Time delays affect considerably the performance of the process. Moreover the stabilizing regions of the controller parameters can be difficult to compute. This work provides the stability conditions for unstable first order plus time delay (UFOPTD) systems when a PD controller is used. Also, the parametric stabilization region is obtained by means of an analysis of the characteristic quasi-polynomial. The results presented in this work show that a derivative action at the controller minimizes the effects of the time-delay achieving the stabilization of UFOPTD systems with large time-delay, in contrast with a process considering controller without derivative action. The behavior of the control strategy is illustrated with some numerical examples.
Prediction-observer Scheme for Linear Systems with Input-output Time-delay
Varinia Fragoso-Rubio,Martín Velasco-Villa,Miguel A. Hernández-Pérez,Basilio del Muro-Cuéllar,Juan Francisco Márquez-Rubio 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.8
This work deals with the prediction and control problems associated with a class of linear systems with time-delay at the input-output path. A general prediction observer scheme that estimates the future value of the delayed system from the output is proposed. Later, a full-information predictor-observer is introduced and the convergence of the estimated future values is formally proven for a time-delay τ of any size by increasing the dimension of the proposed predictor-observer. The estimated future state is used to design a feedback law that compensates the delay effects on the original system. The performance of the prediction-observation control strategy is shown by means of numerical simulations. Thus, it is illustrated that the performance of the proposed full-information predictor-observer is improved with respect to the sequential sub-predictors previously presented in the literature.