Title :
PI and PID controller design for nonlinear systems in the presence of a time delay via singular perturbation technique
Abstract :
The paper treats a question of proportional-integral (PI) and proportional-integral-derivative (PID) controllers design for nonlinear systems in the presence of a time delay, plant´s parameter variations, and unknown external disturbances. The design of a universal controller, which is an extension of PI (PID) controller, is discussed as well. The presented design methodology guarantees desired output transient performance indices by inducing of two time-scale motions in the closed-loop system. Stability conditions imposed on the fast and slow modes and sufficiently large mode separation rate between fast and slow modes can ensure that the full-order closed-loop non-linear system achieves the desired properties in such a way that the output transient performances are desired and insensitive to external disturbances and plant´s parameter variations. The method of singular perturbations is used throughout the paper in order to get explicit expressions for evaluation of the controller parameters. Numerical examples with simulation results are presented.
Keywords :
Control systems; Delay effects; Design methodology; Nonlinear control systems; Nonlinear systems; Perturbation methods; Pi control; Proportional control; Stability; Three-term control;
Conference_Titel :
Electronic Instrument Engineering, 2008. APEIE 2008. 9th International Conference on Actual Problems of
Conference_Location :
Novosibirsk, Russia
Print_ISBN :
978-1-4244-2825-0
DOI :
10.1109/APEIE.2008.4897215