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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.
Feedback Control Based on a Sequential Observer-predictor for Systems with Unknown Actuator Delay
David Fernando Novella-Rodríguez,Juan Carlos Tudon-Martínez,Rocio Jasmin Vazquez-Guerra,Juan Francisco Márquez-Rubio 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.9
The present work is devoted to the stabilization of linear systems with input delay, where the delay value can be arbitrarily long with respect to the system response. The time-delay is considered unknown or incorrectly modeled. A sequential observer with variable time-delays is designed in order to predict the system states before the delay occurs. The delays in the sequential observer-predictor are updated by means of a delay estimation in order to obtain an accurate state prediction. The stability of the closed-loop system and the convergence of the observers are analyzed by considering the separation principle. Numerical simulations are performed to evaluate the proposed sequential observer-controller under different scenarios.