Stability Analysis and Proposal of a Simple Form of a Fuzzy PID Controller

Lee, Byung-Kyul,Kim, In-Hwan,Kim, Jong-Hwa The Korean Society of Marine Engineering 2004 한국마린엔지니어링학회지 Vol.28 No.8

This paper suggests the simple form of a fuzzy PID controller and describes the design principle, tracking performance, stability analysis and changes of parameters of a suggested fuzzy PID controller. A fuzzy PID controller is derived from the design procedure of fuzzy control. It is well known that a fuzzy PID controller has a simple structure of the conventional PID controller but posses its self-tuning control capability and the gains of a fuzzy PID controller become nonlinear functions of the inputs. Nonlinear calculation during fuzzification, defuzzification and the fuzzy inference require more time in computation. To increase the applicability of a fuzzy PID controller to digital computer, a simple form of a fuzzy PID controller is introduced by the backward difference mapping and the analysis of the fuzzy input space. To guarantee the BIBO stability of a suggested fuzzy PID controller, ‘small gain theorem’ which proves the BIBO stability of a fuzzy PI and a fuzzy PD controller is used. After a detailed stability analysis using ‘small gain theorem’, from which a simple and practical method to decide the parameters of a fuzzy PID controller is derived. Through the computer simulations for the linear and nonlinear plants, the performance of a suggested fuzzy PID controller will be assured and the variation of the gains of a fuzzy PID controller will be investigated.

하이브리드 제어기를 이용한 서보 전동기의 위치제어

권세현,Kwon, Se-Hyun 한국융합신호처리학회 2009 융합신호처리학회 논문지 (JISPS) Vol.10 No.3

PID 제어기는 구조가 간단하고 구현하기가 비교적 쉽다. 그렇지만 PID 제어기는 큰 오버슈트와 과도응답이 일어날 수도 있다. PID 제어와 다른 제어 기법을 조합한 진보된 하이브리드 구조의 결과는 종종 단순한 PID 제어기의 성능을 개선하는데 사용할 수 있다. 본 논문에서 서보 전동기의 위치 제어시스템을 위한 하이브리드 제어기를 제안한다. 제안한 제어기는 PID 제어기에 병렬로 보조제어기를 접속하여 구성하였다. 보조제어기는 과도 시스템 성능을 개선하는 역할을 하고, PID 제어기는 주로 정상상태 시스템 성능을 개선하는 역할을 한다. 제어기 합성에 관해서 이러한 하이브리드 구조의 가능성 있는 장점은 보조제어기와 제어기의 구성 요소는 분리하여 설계할 수 있다. 여러 가지 제어기 구성요소에 대한 체계적인 설계 방법을 나타내었다. 제안한 하이브리드 개요는 직류 전동기 위치 서보시스템에 적용할 수 있다. 제안한 제어기의 효율성을 컴퓨터 시뮬레이션 결과를 통하여 입증하였다. PID controllers are simple in structure and easy for implementation. However, they may produce large overshoots and over-oscillatory responses. Combining PID control with other control techniques often results in advanced hybrid schemes that are able to improve pure PID controllers. This paper proposes hybrid controller for position control system of servo motor. The proposed controller is composed of a subcontroller and a parallel PID controller. The subcontroller improves the transient system performance while the PID controller is mainly responsible for the steady-state system performance. A very promising advantage of this hybrid scheme, in terms of controller synthesis, is that the subcontrollers and controller components can be designed separately. Systematic design methods for various controller components are developed. The proposed hybrid scheme is applied to a DC motor position servo system. The effectiveness of the proposed controller is verified through the computer simulation results.

Intelligent Fuzzy PID 제어 알고리즘을 이용한 실시간 OS 기반 복강경 수술 로봇의 위치 제어 성능 강화에 관한 연구

宋承駿(Seung-Joon Song),朴埈佑(Jun-Woo Park),辛政昱(Jung-Wook Shin),李德熙(Duck-Hee Lee),金胤昊(Yun-Ho Kim),崔載舜(Jaesoon Choi) 대한전기학회 2008 전기학회논문지 Vol.57 No.3

The fuzzy self-tuning PID controller is a PID controller with a fuzzy logic mechanism for tuning its gains on-line. In this structure, the proportional, integral and derivative gains are tuned on-line with respect to the change of the output of system under control. This paper deals with two types of fuzzy self-tuning PID controllers, rule-based fuzzy PID controller and learning fuzzy PID controller. As a medical application of fuzzy PID controller, the proposed controllers were implemented and evaluated in a laparoscopic surgery robot system. The proposed fuzzy PID structures maintain similar performance as conventional PID controller, and enhance the position tracking performance over wide range of varying input. For precise approximation, the fuzzy PID controller was realized using the linear reasoning method, a type of product-sum-gravity method. The proposed controllers were compared with conventional PID controller without fuzzy gain tuning and was proved to have better performance in the experiment.

Design of Fuzzy-PID Controller for Path Tracking of Mobile Robot with Differential Drive

Do Khac Tiep,Kinam Lee,Dae-Yeong Im,Bongwoo Kwak,Young-Jae Ryoo 한국지능시스템학회 2018 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.18 No.3

In this paper, a design of a fuzzy-PID controller for path tracking of a mobile robot with differential drive is proposed. The fuzzy-PID controller consists of a PID controller and a fuzzy controller with two inputs and three outputs. When the system response has the error and the error rate, the fuzzy controller can tune the parameters of the PID controller. The model based on Lagrange dynamic approach for a robot with differential drive is described. The fuzzy-PID controller and the classical PID controller are compared by simulation. The path tracking of a mobile robot with differential drive was tested using MATLAB/Simulink. The simulation results show that the fuzzy-PID controller has a better performance than the classical PID controller. The proposed controller has better convergence rate in comparison with the classical PID controller for a mobile robot with any arbitrary initial state. It has the advantages of rapid respond, high stability, tracking accuracy and good anti-interference, so the fuzzy-PID controller is the appropriate choice for path tracking control of mobile robots with differential drive.

신경회로망 기반 자동 동조 뉴로-퍼지 PID 제어기 설계

김영식(Kim, Young-Shik),이창구(Lee, Chang-Goo) 한국산학기술학회 2006 한국산학기술학회논문지 Vol.7 No.5

본 논문에서는 기존의 PID 제어기와 퍼지 제어기의 특성을 공통으로 갖는 새로운 형태의 신경회로망 기반 자동 동조 뉴로-퍼지 PID제어기를 제안하였다. 제안된 제어기는 퍼지의 선형성을 이용하여 퍼지 PID 제어기의 퍼지 연산부를 간략화 시키고 일반 PID 제어기와 유사한 입출력 특성을 갖도록 하였으며 비선형 성분 보상을 위하여 제어기 출력에 가장 큰 영향을 미치는 출력측 스케일 계수를 단일 신경 회로망 구조로 변경하고 PID 제어기 구조를 유지 하게 하였다. 또한 단일 신경 회로망 구조를 이용함으로써 신경회로망의 초기 연결강도와 계산량에 대한 문제점을 해결하고 오차의 부호 정보에 따라 학습계수를 변화시키는 가변 학습계수 역전파 알고리즘을 사용하여 오버 슈트가 작으면서도 빠른 수렴 속도를 갖도록 하였다. 제안된 제어기를 비선형성이 강한 시스템으로 알려진 자기 부양(magnetic levitation) 시스템에 실제 적용하여 본 논문에서 제안한 제어기의 우수한 성능을 확인하였다. In this paper described an auto tuning neuro-fuzzy PID controller based neural network. The PID type controller has been widely used in industrial application due to its simply control structure, easy of design, and inexpensive cost. However, control performance of the PID type controller suffers greatly from high uncertainty and nonlinearity of the system, large disturbances and so on. In this paper will design to take advantage of neural network fuzzy theory and pid controller auto tuning technique. The value of initial scaling factors of the proposed controller were determined on the basis of the conventional PID controller parameters tuning methods and then they were adjusted by using neural network control techniques. This controller simple structure and computational complexity are less, and also application is easy and performance is excellent in system that is strong and has nonlinearity to system dynamic behaviour change or disturbance. Finally, the proposed auto tuning neuro-fuzzy controller is applied to magnetic levitation. Simulation results demonstrated that the control performance of the proposed controller is better than that of the conventional controller.

Stability Analysis and Implementation of Chopper fed DC Series Motor with Hybrid PID-ANN Controller

Masilamani Muruganandam,Muthusamy Madheswaran 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.5

The attempt is made to enhance the performance of a closed loop control of DC series motor fed by DC chopper (DC-DC buck converter) by hybridization of PID controller with an intelligent control using ANN (Artificial Neural Network) controller. This system consists of inner current controller loop and outer PID-ANN based speed controller loop. The current controller allows the PWM (Pulse Width Modulation) signal when the motor current is less than set value. The PID-ANN speed controller controls the motor voltage by controlling the duty cycle of the chopper thereby the motor speed is regulated. The PID-ANN controller performances are analyzed in both steady state and dynamic oper-ating condition with various set speed and various load torque. The rise time, maximum over shoot, settling time, steady state error and speed drops are taken for comparison with conventional PID con-troller and existing work. The steady state stability analysis of the system also is made by using the transfer function model with MATLAB. The training data for PID-ANN controller is taken from con-ventional PID controller. The Hybrid PID-ANN controller with DC chopper has better control over the conventional PID controller and the reported existing work. This system is simulated using MAT-LAB/Simulink and also it is implemented with a NXP 80C51 family Microcontroller (P89V51RD2 BN) based Embedded System.

Intelligent Prevent the Risk of Carcinoma of the Lung Progression

Sareh Mohammadi Jaberi,Farzin Piltan,Amirzubir Sahamijoo,Nasri b Sulaiman 보안공학연구지원센터 2015 International Journal of Bio-Science and Bio-Techn Vol.7 No.4

Smog hanging over cities is the most familiar and obvious form of air pollution. The effects of inhaling particulate matter have been studied in humans and animals and include asthma, lung cancer, cardiovascular issues, and premature death. There are, however, some additional products of the combustion process that include nitrogen oxides and sulfur and some un-combusted hydrocarbons, depending on the operating conditions and the fuel-air ratio. Tuning the fuel to air ratio caused to control the lung cancer. Lung cancers are tumors arising from cells lining the airways of the respiratory system. Design of a robust nonlinear controller for automotive engine can be a challenging work. This research paper focuses on the design and analysis of a high performance PID like fuzzy controller for automotive engine, in certain and uncertain condition. The proposed approach effectively combines of design methods from linear Proportional-Integral-Derivative (PID) controller and fuzzy logic theory to improve the performance, stability and robustness of the automotive engine. To solve system’s dynamic nonlinearity, the PID fuzzy logic controller is used as a PID like fuzzy logic controller. The PID like fuzzy logic controller is updated based on gain updating factor. In this methodology, fuzzy logic controller is used to estimate the dynamic uncertainties. In this methodology, PID like fuzzy logic controller is evaluated. PID like fuzzy logic controller has three inputs, Proportional (P), Derivative (D), and Integrator (I), if each inputs have linguistic variables to defined the dynamic behavior, it has ×× linguistic variables. To solve this challenge, parallel structure of a PD-like fuzzy controller and PI-like fuzzy controller is evaluated. In the next step, the challenge of design PI and PD fuzzy rule tables are supposed to be solved. To solve this challenge PID like fuzzy controller is replaced by PD-like fuzzy controller with the integral term in output. This method is caused to design only PD type rule table for PD like fuzzy controller and PI like fuzzy controller.

신경회로망-PID복합형제어기를 이용한 직류 전동기의 강인한 속도제어

유인호,오훈,조현섭,이성수,김용욱,박왈서,Yoo, In-Ho,Oh, Hoon,Cho, Hyun-Sub,Lee, Sung-Soo,Kim, Yong-Wook,Park, Wal-Seo 한국조명전기설비학회 2004 조명·전기설비학회논문지 Vol.18 No.1

산업자동화의 고정밀도에 따라 궤환 제어시스템은 강인한 제어가 요구되고 있다. 하지만 신경망 궤환 제어시스템이 외란의 영향을 받았을 때, 시스템의 강인한 제어는 어렵게 된다. 본 논문에서는 이러한 문제를 해결하기 위한 한 방법으로 신경회로망제어기와 PR제어기의 복합형 제어방법을 제시하였다. 신경회로망 제어기는 주 제어기로서 동작하고, PID제어기는 허용오차가 경계영역을 벗어날 때 동작하는 보조제어기로 사용된다. 신경회로망-PID복합형제어기의 강인성은 전동기의 속도제어에 의해서 확인하였다. Robust control for feedback control system is needed according to the highest precision of industrial automation. However, when a neural network feedback control system has an effect of disturbance, it is very difficult to guarantee the robustness of control system. As a compensation method solving this problem, in this paper, hybrid control method of neural network controller and PID controller is presented. A neural network controller is operated as a main controller, a PID controller is a assistant controller which operates only when some undesirable phenomena occur, e.q., when the error hit the boundary of constraint set. The robust control function of neural network-PID hybrid controller is demonstrated by speed control of Motor.

Designing of Fuzzy Logic Controller for Liquid Level Controlling

Ashish Singh Thakur,Himmat Singh,Sulochana Wadhwani 보안공학연구지원센터 2015 International Journal of u- and e- Service, Scienc Vol.8 No.6

In control system there are a number of general systems and methods which are encountered in all areas of industry and technology. There are many ways to control any system, in which fuzzy is often the very best way. The only reason is faster and cheaper. One of successful application that is used for the controlling of liquid level is fuzzy logic controller. In order to find the best design to stabilize the liquid level in this method, some factors will be considered. For this paper, the liquid level was controlled by using three rules of membership function which then extended to five rules, seven rules and nine rules for verification purpose and further improvement of the system. This paper was focused to the software part only. By doing some modification in this paper, the design will be very useful for the system relates to liquid level control that widely use in industry nowadays. For a long time, the selection and definition of the parameters of PID controller are very difficult. There must be a bad effect if you do not choose nicely parameters. To strictly limit the overshoot, the use of Fuzzy controller can achieve a great control cause. In this paper, we take the liquid level water tank, and use MATLAB to design a Fuzzy Controller. Then we analyze the control effect and compare it with the effect of PID controller. As a result of comparing, Fuzzy Logic Controller is superior to PID controller. Comparison of the control results from these two systems indicated that the Fuzzy logic controller significantly reduced overshoot and steady state error.

Two- and Three-Input Fuzzy PID Controller Structure of Takagi-Sugeno Type

Ritu Raj,Pushparaj Mani Pathak,Garima Bhandari,Jung-Min Yang 제어로봇시스템학회 2019 제어로봇시스템학회 국제학술대회 논문집 Vol.2019 No.10

In this paper, we analyze and present a general structure of fuzzy PID controller of Takagi-Sugeno (TS) type having two and three inputs. We show that while three-input fuzzy PID controller gains have an one-to-one relation with the conventional controller gains, this relationship is not directly evident in the case of two-input fuzzy PID controllers. The tuning of input/output scaling parameters of the presented fuzzy PID controllers is addressed based on the structure of conventional PID controllers.