Guaranteed Dominant Pole Placement with Discrete-PID Controllers: A Modified Nyquist Plot Approach
نویسندگان
چکیده
Guaranteed dominant pole placement problem has already been considered in the literature (Journal of Process Control 19(2009):349–352). For the systems that are higher-order or have dead-time, pole placement procedure with PID controllers via modified Nyquist plot and root-locus has been proposed. Based on this idea, the dominant pole placement problem with discrete-PID controllers in zdomain is studied since it is important to take advantage of discrete-time domain representation during the pole placement procedure for time-delay systems. It is shown that modified Nyquist plot method is still valid in discrete-time domain and it is possible to find relevant discrete-PID controller parameters. Controller zeros are also considered in the study, since in the closed-loop controller zeros can disrupt the dominance. Success of the method demonstrated on example transfer functions.
منابع مشابه
Guaranteed Dominant Pole Placement with PID Controllers
Pole placement is a well-established design method for linear control systems. Note however that with an output feedback controller of low-order such as PID one cannot achieve arbitrary pole placement for a high-order or delay system, and then partially or hopefully, dominant pole placement becomes the only choice. To the best of the authors’ knowledge, no method is available in the literature ...
متن کاملFeedback Control
A feedback controlled system is a system that compares its own output to a desired value and automatically takes corrective action. This paper will examine linear feedback systems, including the basics of automobile cruise control, operational amplifiers, and PID controllers. System performance can be improved by the use of feedback, especially when faced with external disturbances. To realize ...
متن کاملFragility-Rings - A Graphic Tool for PI/PID Controllers Robustness-Fragility Analysis
The aim of the paper is to present the Delta 20 Fragility-Rings plot and its use for robustness-fragility analysis of proportional integral (PI) and proportional integral derivative (PID) controllers. Using the Delta 20 Fragility Index and the Nyquist plot it shows the areas on the L(jω) plane corresponding to robustness-fragile, robustness-non-fragile and robustnessresilient controllers provid...
متن کاملA simple robust PI/PID controller design via numerical optimization approach
This paper presents a simple but effective method for designing robust PI or PID controller. The robust PI/PID controller design problem is solved by the maximization, on a finite interval, of the shortest distance from the Nyquist curve of the open loop transfer function to the critical point-1. Simulation studies are used to demonstrate the effectiveness of the proposed method. 2004 Elsevier ...
متن کاملAspects of Pole Placement Technique in Symmetrical Optimum Method for Pid Controller Design
The paper presents an analytical approach to the design of PID controllers by combining pole placement with symmetrical optimum method, for the integration plus first-order plant model. The desired closed-loop transfer function (c.l.t.f.) contains a second-order oscillating system and a lead-delay compensator. It is shown that the zero value of c.l.t.f. depends on the real-pole value of c.l.t.f...
متن کامل