Abstract:
The paper is aimed to the design of a generalized class of continuous controllers for time delay systems. The proposed controllers ensure internal stability and simultane...Show MoreMetadata
Abstract:
The paper is aimed to the design of a generalized class of continuous controllers for time delay systems. The proposed controllers ensure internal stability and simultaneous reference tracking and disturbance rejection. Several approximations for first order system with time delay were used. All of them can be covered by a second order transfer function. Then explicit formulas were derived for SISO systems with a feedback as well as with a feedback-feedforward structure of the controlled system. The proposed control synthesis is based on general solutions of Diophantine equations in the ring of proper and Hurwitz stable rational functions RPS and the Youla-Kučera parametrization of controllers is utilized. The conditions for asymptotic tracking and disturbance rejection are obtained through the divisibility conditions in the ring RPS. Robustness of proposed algorithms can be studied through the infinity norms (H∞) and through the sensitivity functions of controlled systems. A scalar parameter m>0 is introduced for tuning and influencing of proposed controllers. A Matlab + Simulink program system for automatic design and simulation has been developed. The program system is suitable for a wide engineering applications without a deep insight into the control theory.
Published in: 2001 European Control Conference (ECC)
Date of Conference: 04-07 September 2001
Date Added to IEEE Xplore: 27 April 2015
Print ISBN:978-3-9524173-6-2