scholarly journals Synthesis of Guaranteed Stability Regions of a Nonstationary Nonlinear System with a Fuzzy Controller

2019 ◽  
Vol 5 (1) ◽  
pp. 107 ◽  
Author(s):  
Vasiliy Berdnikov ◽  
Valeriy Lokhin
Keyword(s):  
Lyapunov Functions ◽  
Pid Controller ◽  
Sufficient Conditions ◽  
Control Object ◽  
Fuzzy Pid ◽  
Nonlinear Characteristics ◽  
Stability Regions ◽  
Fuzzy Pid Controller ◽  
Quadratic Lyapunov Functions ◽  
Conditions Of Stability

The paper proposes a method for constructing guaranteed regions of stability of nonstationary nonlinear systems on the plane of parameters of a fuzzy PID controller. It is shown that this method allows to determine the full stability areas, which are significantly larger than the areas determined by classical methods (frequency circle criterion, quadratic Lyapunov functions). This improvement is achieved by using the algorithm for constructing spline Lyapunov functions. This type of Lyapunov functions is based on the necessary and sufficient conditions of stability, while the classical methods are only sufficient conditions of stability. In this regard, on the basis of the proposed method, it is possible to calculate the maximum sizes of the sectors in which the nonlinear characteristics in the channels of the fuzzy PID controller should be located. Examples of the synthesis of fuzzy P, PI, PID controllers for a nonstationary control object of the third order are given. Numerical experiments show that the expansion of the boundaries of nonlinear characteristics allows to improve the accuracy in the steady state, and also to almost double the speed of the automatic control system with a nonstationary object. The advantages over linear controllers are demonstrated. The proposed method guarantees the stability inside the calculated stability regions for any character of the change in the nonstationary parameter, as well as for any character of the change in the nonlinear characteristics in the corresponding sectors.

Based on the MATLAB Self-Tuning Fuzzy PID Controller Design

2013 ◽  
Vol 313-314 ◽  
pp. 443-447
Author(s):  
Chan Yuan Liu ◽  
Guo Guang Chen
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Control Object ◽  
Fuzzy Pid ◽  
Fuzzy Pid Controller ◽  
Line Parameter ◽  
Pid Controller Design ◽  
Self Tuning ◽  
Object Parameters

Based on MATLAB self-tuning fuzzy PID controller design, the line parameter of the PID controller to adjust, to further improve the performance of the PID controller to adapt to changes in the control object parameters changes and working conditions.Introduction

The Application Research of Fuzzy PID on Oil Low-Consuming System

2012 ◽  
Vol 198-199 ◽  
pp. 1256-1260
Author(s):  
Dong Song Luo ◽  
Hai Feng Zhao
Keyword(s):  
Heat Exchanger ◽  
Pid Controller ◽  
Control Object ◽  
Northern China ◽  
Fuel System ◽  
Fuzzy Pid ◽  
Application Research ◽  
Fuzzy Pid Controller ◽  
The Mathematical Model ◽  
Better Than

In accordance with the phenomenon of 0# diesel be cannot used in winter of northern china, put forward the low consum-ing fuel system that diesel is heated to the set temperature in oil depot, for locomotive use 0# diesel fuel. heat exchanger as the control object in the system,firstly, the mathematical model of the heat exchanger is established.secondly, the transfer function using system recognition is getted.thirdly, the fuzzy PID controller is designed and simulation was done. the simulation curve was analyzed. Finally the conclusion is presented, which the fuzzy PID in this system is better than the traditional PID.

Grasshopper Algorithm Optimized Fractional Order Fuzzy PID Frequency Controller for Hybrid Power Systems

2019 ◽  
Vol 12 (6) ◽  
pp. 519-531
Author(s):  
Deepak Kumar Lal ◽  
Ajit Kumar Barisal
Keyword(s):  
Power Systems ◽  
Power System ◽  
Fractional Order ◽  
Pid Controller ◽  
Load Frequency Control ◽  
Pid Controllers ◽  
Fuzzy Pid ◽  
Fuzzy Pid Controller ◽  
Hybrid Power ◽  
Increasing Demand

Background: Due to the increasing demand for the electrical power and limitations of conventional energy to produce electricity. Methods: Now the Microgrid (MG) system based on alternative energy sources are used to provide electrical energy to fulfill the increasing demand. The power system frequency deviates from its nominal value when the generation differs the load demand. The paper presents, Load Frequency Control (LFC) of a hybrid power structure consisting of a reheat turbine thermal unit, hydropower generation unit and Distributed Generation (DG) resources. Results: The execution of the proposed fractional order Fuzzy proportional-integral-derivative (FO Fuzzy PID) controller is explored by comparing the results with different types of controllers such as PID, fractional order PID (FOPID) and Fuzzy PID controllers. The controller parameters are optimized with a novel application of Grasshopper Optimization Algorithm (GOA). The robustness of the proposed FO Fuzzy PID controller towards different loading, Step Load Perturbations (SLP) and random step change of wind power is tested. Further, the study is extended to an AC microgrid integrated three region thermal power systems. Conclusion: The performed time domain simulations results demonstrate the effectiveness of the proposed FO Fuzzy PID controller and show that it has better performance than that of PID, FOPID and Fuzzy PID controllers. The suggested approach is reached out to the more practical multi-region power system. Thus, the worthiness and adequacy of the proposed technique are verified effectively.

Core power control of a space nuclear reactor based on a nonlinear model and fuzzy-PID controller

2021 ◽  
pp. 103564
Author(s):  
Wenjie Zeng ◽  
Qingfeng Jiang ◽  
Yinuo Liu ◽  
Shoujun Yan ◽  
Guangchun Zhang ◽  
...  
Keyword(s):  
Power Control ◽  
Nonlinear Model ◽  
Pid Controller ◽  
Nuclear Reactor ◽  
Fuzzy Pid ◽  
Fuzzy Pid Controller

Simulation Analysis of Electro-Pneumatic Proportional Fuzzy-PID Control System Based on AMESim/Simulink

2014 ◽  
Vol 945-949 ◽  
pp. 2568-2572
Author(s):  
Si Yuan Wang ◽  
Guang Sheng Ren ◽  
Pan Nie
Keyword(s):  
Control System ◽  
Pid Control ◽  
Pid Controller ◽  
Simulation Analysis ◽  
Fuzzy Pid ◽  
Fuzzy Pid Control ◽  
Proportional Control ◽  
Fuzzy Pid Controller ◽  
Design Requirements ◽  
Set Up

The test rig for hydro-pneumatic converter used in straddle type monorail vehicles was researched, and its electro-pneumatic proportional control system was set up and simulated based on AMESim/Simulink. Compared fuzzy-PID (Proportion Integral Derivative) controller with PID controller through fuzzy logic tool box in Simulink, the results indicate that, this electro-pneumatic proportional control system can meet design requirements better, and fuzzy-PID controller has higher accuracy and stability than PID controller.

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