Non-overshooting control of linear system by a simple asymptotic gain scheduling method

2019 ◽  
Vol 41 (15) ◽  
pp. 4187-4196
Author(s):  
Huanchao Du ◽  
Xiaoguang Hu ◽  
Chaoqun Ma
Keyword(s):  
Control System ◽  
Gain Scheduling ◽  
Pole Placement ◽  
Step Response ◽  
Pid Controllers ◽  
Phase Lag ◽  
Proportional Integral Derivative ◽  
Closed Loops ◽  
Dominant Pole ◽  
Scheduling Method

In this paper, a simple yet effective method has been raised for non-overshooting control of linear higher order plant. It is based on Posicast control, asymptotic gain scheduling and dominant pole placement by modified proportional-integral-derivative (PID) controllers, including PI-D, I-PD, PI-PD and PD-PID. The control system is composed by two closed-loops, that is, the inner loop where modified PID controllers are used to stabilize the plant by dominant pole placement, and the outer loop where asymptotic gain scheduling is used to shape the non-overshooting step response. Use of the modified PID controllers is the key to secure success of asymptotic gain scheduling, for dominance of the specified poles and phase lag dominant pole control system can be designed by these controllers in the inner loop. Three numerical examples are used to validate the method; results show that a non-overshooting control with relatively short settling time and small undershoot can be realized.

Guaranteed Dominant Pole Placement with PID Controllers

2008 ◽  
Vol 41 (2) ◽  
pp. 5842-5845 ◽  
Author(s):  
Qing-Guo Wang ◽  
Zhiping Zhang ◽  
Karl Johan Astrom ◽  
Yu Zhang ◽  
Yong Zhang
Keyword(s):  
Pole Placement ◽  
Pid Controllers ◽  
Dominant Pole

Dominant pole placement with fractional order PID controllers: D-decomposition approach

2017 ◽  
Vol 67 ◽  
pp. 76-86 ◽  
Author(s):  
Petar D. Mandić ◽  
Tomislav B. Šekara ◽  
Mihailo P. Lazarević ◽  
Marko Bošković
Keyword(s):  
Fractional Order ◽  
Pole Placement ◽  
Pid Controllers ◽  
Decomposition Approach ◽  
Dominant Pole ◽  
Fractional Order Pid

Genetic Fuzzy Approach for Designing a Gain Scheduling Anti-Sway Crane Control System

2013 ◽  
Vol 198 ◽  
pp. 501-506
Author(s):  
Jaroslaw Smoczek
Keyword(s):  
Control System ◽  
Gain Scheduling ◽  
Pole Placement ◽  
Crane Control ◽  
Fuzzy Interpolation ◽  
Parameters Tuning ◽  
Control Scheme ◽  
Gain Scheduling Control ◽  
Linear Controllers ◽  
Operating Points

The gain scheduling control scheme designing problem consists in selecting a set of appropriate operating points at which the linear controllers are determined, thus the interpolation scheme ensures expected control quality within the known range of system's parameters changes, when those parameters vary in relation to some exogenous variables used in a control system as the scheduling variables. The problem arises together with the number of scheduling variables correlated with the parameters variations, thus utilizing the iterative techniques to minimize a set of controllers can be unreliable. The problem of gain scheduling system designing is addressed in the paper to the anti-sway crane control system. The fuzzy interpolation is used to determine the gains of proportional-derivative controllers based on the scheduling variables, the rope length and mass of a payload suspended on a rope. The problem of rules base optimization and membership function parameters tuning is solved using genetic algorithm and pole placement method.

A Design Method for Modified PID Control Systems to Attenuate Unknown Disturbances

2010 ◽  
Vol 459 ◽  
pp. 211-220 ◽  
Author(s):  
Takaaki Hagiwara ◽  
Kou Yamada ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
Shun Matsuura
Keyword(s):  
Control System ◽  
Control Systems ◽  
Pid Control ◽  
Design Method ◽  
Industrial Applications ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Admissible Sets ◽  
Unknown Disturbances

PID(Proportional-Integral-Derivative) controller structure is the most widely used one in industrial applications. Yamada and Hagiwara proposed a design method for modified PID controllers such that modified PID controllers make the control system for unstable plants stable and the admissible sets of P-parameter, I-parameter and D-parameter are independent from each other. When modified PID control systems are applied to real plants, the influence of disturbance in the plant must be considered. In many cases, disturbance in the plant is unknown. It is comparatively easy to attenuate known disturbance, but it is difficult to attenuate unknown disturbances. From a practical viewpoint, it is desirable to design a modified PID control system to attenuate unknown disturbances. However, no paper examines a design method for modified PID control systems to attenuate unknown disturbances. In this paper, we propose a design method for modified PID control systems to attenuate unknown disturbances.

scholarly journals TUNING PD AND PID CONTROLLERS VIA THE LAMBERT W FUNCTION FOR DOUBLE INTEGRATOR PLUS DEAD TIME PROCESSES

2019 ◽  
Vol 18 (1) ◽  
pp. 001
Author(s):  
Radmila Gerov ◽  
Zoran Jovanović
Keyword(s):  
Control System ◽  
Dead Time ◽  
Pole Placement ◽  
Lambert W Function ◽  
Pid Controllers ◽  
Integral Action ◽  
Proportional Derivative Controller ◽  
Quantitative Indicators ◽  
Placement Technique ◽  
Double Integrator

The paper explores the Proportional-derivative controller for a double integrator plus dead time processes, which is a challenging control problem, that is designed based on the existing Proportional-integrative controller for integrator plus dead time processes. The PD controller is extended with an integral action and an ideal PID controller is received. The parameters of both controllers are received by using the pole placement technique, whereby the transcendent characteristics equation of the closed loop system is solved by using the Lambert W function. The paper also examines the influence of the desired poles of the system with a closed feedback as well as the influence of the disturbance and the change of the DIPTD processes parameters onto the received control system performances. The results received by simulation, and the quantitative indicators, show that the proposed control system has better performances in comparison to the control systems obtained by other methods in literature.

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