Software for Comparative Studies of Phase Lead Compensator Design (original) (raw)
Related papers
Auto-tuning of phase lead/lag compensators
Automatica, 2004
In the tuning of phase lead/lag compensators, knowledge of speciÿc points on the frequency response of the plant are required. Such points are speciÿed by their frequency, gain and phase and are not readily available without an accurate model of the plant. Yet such information is important for any auto-tuning procedure to succeed. In this paper, relays with hysterisis are tuned to determine points on the frequency response of a plant with a user-speciÿed gain, g0 or phase, 0. On-line algorithms are developed to tune the operating point of the relay feedback system so that the resulting oscillations correspond to the frequency response of the plant with either gain, g0 or phase, 0. Tuning involves setting either the amplitude of the relay or its hysterisis width. Improvement over the simple application of the describing function is also shown. The results are applied to the auto-tuning of phase lead and lag compensators. Simulations are presented to illustrate the auto-tuning procedures.
Analytical and graphical design of lead–lag compensators
International Journal of Control, 2011
In this paper an approach based on inversion formulae is used for the design of lead-lag compensators which satisfy frequency domain specifications on phase margin, gain margin and phase (or gain) crossover frequency. An analytical and graphical procedure for the compensator design on the Nyquist and Nichols planes is presented with some numerical examples.
Design of lead-lag compensators for robust control
2011 9th IEEE International Conference on Control and Automation (ICCA), 2011
In this paper three different methods for the synthesis of lead-lag compensators that meet design specifications on the phase margin and the gain crossover frequency are presented. These numerical and graphical methods are based on the choice of a degree of freedom of the regulators. These procedures aim to satisfy an additional specification for robust control: the gain margin, the complementary modulus margin or a specification on the settling time of the controlled system.
A non-trial-and-error method for lag-lead compensator design
IEEE Transactions on Education, 1998
A universal design chart for lag-lead compensators is given. This chart allows compensators to be designed without trial-and-error while meeting four specifications: steady-state error, phase margin, gain margin, and gain (or phase) crossover frequency.
Lead-Lag compensators: Analytical and graphical design on the Nyquist plane
IEEE Conference on Decision and Control and European Control Conference, 2011
This paper presents a design method for the parameters of a general class of lead-lag compensators to exactly satisfy gain and phase margins specifications. A free parameter of the compensator is used as a degree of freedom in order to satisfy additional requirements on the phase and/or gain crossover frequencies. A graphical procedure for the compensator design on the Nyquist plane is presented with some numerical examples.
An important task for a professor in control engineering is to transfer knowledge to students in classroom in a formal and logical way. One of this knowledge is the response-frequency methodology that is used to design different types of compensators. This article introduces an interactive graphical user interface to design compensators (phase-lead, phase-lag, phase lag-lead) by the technique called Trial and error and by the Analytical technique for the listed above compensators, as well as for the PI, PD and PID. MATLAB®/GUIDE was used to create this interactive interface, which was adequated to help professors and students in the study, analysis and design of different compensators; to have an insight about the indirect relationship between performance parameters on time with the frequency performance parameters and generates a summarized report in LATEX with all plots and data simulations. Fifty percent of all students that use this interface agree that it works very well to improve their understanding of the compensator design.
A SIMPLIFIED METHOD OF DESIGNING A PHASE-LEAD COMPENSATOR TO IMPROVE THE M-S-D SYSTEM'S PHASE MARGIN
Compensators are used to alter the response of a control system in order to accommodate the set design criteria. This is done by introducing additional poles and zeros to the system. Improving the mass-spring-damper phase margin is an essential so as to improve its performance. The paper aims to describe short steps to design a phase-lead compensator for the mass-spring-damper system to achieve the desired level of phase margin for system.
A Review note on Compensator Design for Control Education and Engineering
2014
The compensators are one of the most important aspects in any undergraduate control engineering courses owing to their widespread industrial applications. The degree of convergence of the output waveform for any compensator depends upon proper selection and tuning of the compensator. In this paper the compensator parameters (α, β, τ) of the lead, lag and lag-lead compensators are tuned to their optimum values using the conventional root locus as well as frequency response approach. The compensator algorithm is studied using MATLAB and usefulness of these compensators for controlling process variables are demonstrated using proper tuning. The comparative studies showing promising results are discussed with suitable examples.
A SIMPLIFIED METHOD OF DESIGNING A PHASE COMPENSATOR TO IMPROVE THE M
Compensators are used to alter the response of a control system in order to accommodate the set design criteria. This is done introducing additional poles and zeros to the system. Improving the mass improve its performance. The paper aims to describe short steps to design a phase system to achieve the desired level of phase margin for system.
Analytical Design of Lead-Lag Compensators on Nyquist and Nichols Planes
Proceedings of the 18th IFAC World Congress, 2011
In this paper the dynamic structure and the control properties of a new form of lead-lag compensator with complex zeros and poles are presented. A simple and exact analytical and graphical method on the Nyquist and Nichols planes for the design of lead-lag compensators satisfying design specifications on gain margin, phase margin and crossover frequency is proposed. Simulations results show the good performances of the presented method.