scholarly journals Optimal Robust PID Control for First- and Second-Order Plus Dead-Time Processes

2019 ◽  
Vol 9 (9) ◽  
pp. 1934 ◽  
Author(s):  
Takao Sato ◽  
Itaru Hayashi ◽  
Yohei Horibe ◽  
Ramon Vilanova ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Pid Control ◽  
Dead Time ◽  
Design Method ◽  
Second Order ◽  
Process Models ◽  
Second Step ◽  
Reference Tracking ◽  
First Order ◽  
Pid Tuning

The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

scholarly journals Discrete-Time First-Order Plus Dead-Time Model-Reference Trade-off PID Control Design

2019 ◽  
Vol 9 (16) ◽  
pp. 3220 ◽  
Author(s):  
Ryo Kurokawa ◽  
Takao Sato ◽  
Ramon Vilanova ◽  
Yasuo Konishi
Keyword(s):  
Discrete Time ◽  
Pid Control ◽  
Continuous Time ◽  
Dead Time ◽  
Design Method ◽  
Control Design ◽  
The Other ◽  
Time Model ◽  
Trade Off ◽  
First Order

The present study proposes a novel proportional-integral-derivative (PID) control design method in discrete time. In the proposed method, a PID controller is designed for first-order plus dead-time (FOPDT) systems so that the prescribed robust stability is accomplished. Furthermore, based on the control performance, the relationship between the servo performance and the regulator performance is a trade-off relationship, and hence, these items are not simultaneously optimized. Therefore, the proposed method provides an optimal design method of the PID parameters for optimizing the reference tracking and disturbance rejection performances, respectively. Even though such a trade-off design method is being actively researched for continuous time, few studies have examined such a method for discrete time. In conventional discrete time methods, the robust stability is not directly prescribed or available systems are restricted to systems for which the dead-time in the continuous time model is an integer multiple of the sampling interval. On the other hand, in the proposed method, even when a discrete time zero is included in the controlled plant, the optimal PID parameters are obtained. In the present study, as well as the other plant parameters, a zero in the FOPDT system is newly normalized, and then, a universal design method is obtained for the FOPDT system with the zero. Finally, the effectiveness of the proposed method is demonstrated through numerical examples.

An Adjustment of Reference Tracking PID Controllers for a First-order System with a Dead Time

2016 ◽  
Vol 136 (5) ◽  
pp. 676-682 ◽  
Author(s):  
Akihiro Ishimura ◽  
Masayoshi Nakamoto ◽  
Takuya Kinoshita ◽  
Toru Yamamoto
Keyword(s):  
Dead Time ◽  
Order System ◽  
Pid Controllers ◽  
Reference Tracking ◽  
First Order

Intelligent Information of TS Fuzzy PID Control System of BLDCM

2013 ◽  
Vol 846-847 ◽  
pp. 313-316 ◽  
Author(s):  
Xiao Yun Zhang
Keyword(s):  
Control System ◽  
Dynamic Model ◽  
Pid Control ◽  
Control Method ◽  
Design Method ◽  
Fuzzy Pid ◽  
Fuzzy Pid Control ◽  
Control Precision ◽  
Simulation Results ◽  
Intelligent Information

This paper presented a new method based on the Fuzzy self - adaptive PID for BLDCM. This method overcomes some defects of the traditional PID control. Such as lower control precision and worse anti - jamming performance. It dynamic model of BLDCM was built, and then design method for TS fuzzy PID model is given, At last, it compared simulation results of PID control method with TS Fuzzy PID control method. The results show that the TS Fuzzy PID control method has more excellent dynamic antistatic performances, as well as anti-jamming performance. The experiment shows that TS fuzzy PID control has the stronger adaptability robustness and transplant.

Analytical Design of Fractional Order Proportional Integral Controller for Spherical Tank

2014 ◽  
Vol 573 ◽  
pp. 279-284 ◽  
Author(s):  
Neenu Elizabeth Cherian ◽  
K. Sundaravadivu
Keyword(s):  
Fractional Order ◽  
Dead Time ◽  
Transfer Functions ◽  
Design Method ◽  
Analytical Design ◽  
Proportional Integral ◽  
First Order ◽  
Spherical Tank ◽  
Proportional Integral Controller ◽  
Fopi Controller

This paper presents an analytical design method for fractional order proportional integral (FOPI) controller for the spherical tank which is modelled as a first order plus dead time (FOPDT) process. The design is based on the Bode’s ideal transfer function and fractional calculus. By using frequency domain, the proposed FOPI tuning rules are directly derived for a generalized first order plus dead time process and then applied to the transfer functions obtained at various operating points of the spherical tank. The performance of the designed FOPI controller is compared with the conventional integer order proportional integral derivative (IOPID) controller in simulation.

scholarly journals Adaptive digital PID control of first-order-lag-plus-dead-time dynamics with sensor, actuator, and feedback nonlinearities

2019 ◽  
Vol 1 (1) ◽  
pp. e20 ◽  
Author(s):  
Mohammadreza Kamaldar ◽  
Syed Aseem Ul Islam ◽  
Sneha Sanjeevini ◽  
Ankit Goel ◽  
Jesse B. Hoagg ◽  
...  
Keyword(s):  
Pid Control ◽  
Dead Time ◽  
Time Dynamics ◽  
First Order ◽  
Sensor Actuator ◽  
Digital Pid ◽  
Digital Pid Control

Performance-Adaptive Generalized Predictive Control-Based Proportional-Integral-Derivative Control System and Its Application

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Takao Sato ◽  
Toru Yamamoto ◽  
Nozomu Araki ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Predictive Control ◽  
Pid Control ◽  
Design Method ◽  
Design Parameters ◽  
Generalized Predictive Control ◽  
Control Performance ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Proportional Integral Derivative Control

In the present paper, we discuss a new design method for a proportional-integral-derivative (PID) control system using a model predictive approach. The PID compensator is designed based on generalized predictive control (GPC). The PID parameters are adaptively updated such that the control performance is improved because the design parameters of GPC are selected automatically in order to attain a user-specified control performance. In the proposed scheme, the estimated plant parameters are updated only when the prediction error increases. Therefore, the control system is not updated frequently. The control system is updated only when the control performance is sufficiently improved. The effectiveness of the proposed method is demonstrated numerically. Finally, the proposed method is applied to a weigh feeder, and experimental results are presented.

scholarly journals STUDI NUMERIK SIMULASI ROBOT PEMBERSIH KACA PADA GEDUNG BERTINGKAT

2019 ◽  
Vol 1 (1) ◽  
Author(s):  
Balisranislam Balisranislam ◽  
I Nyoman Sutantra ◽  
Bambang Sampurno ◽  
Herry Sufyan Hadi
Keyword(s):  
Control System ◽  
Public Relations ◽  
Pid Control ◽  
Pid Controller ◽  
Circulation System ◽  
Natural Lighting ◽  
Pid Tuning ◽  
Human Labor ◽  
Glass Cleaning ◽  
Tuning Methods

<p><span lang="IN">Buildings have priority to support the comfort and public relations of air circulation system and natural lighting, where the most widely used system is glass. In general, the process of cleaning glass in multi-storey building using conventional labor is by human labor. This process is relatively simple but has a loss in work accidents. Therefore, this study discusses glass cleaning robots. the working system of moving the wheel of the robot directly, and the control system using PID control. Tuning PID using Zigler-Nichols and Find Tuning methods with Simulink. Based on the results of PID Controller Calculation using Zigler Nichols method, the value obtained Kp = 0,01446, Ki = 0,0000026, and Kd = 9524,35. While calculation of PID controller using PID tuning with simulink, obtained value Kp = 19,365, Ki = 13,115, and Kd = 5,699. The speed control system using the Zigler-Nichols method does not produce a good response, because the resulting response is still unstable. While PID control using Tuning can produce a good response with up time can be achieved within 1.39 seconds, over shoot by 8% and the exact completion time is 5 seconds</span></p><p> </p>

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