scholarly journals LQR Based Optimal Tuning of PI Controller for a Conical Tank Level Process

2019 ◽  
Vol 8 (11) ◽  
pp. 1330-1334
Keyword(s):  
Pi Controller ◽  
Step Test ◽  
Variable Cross ◽  
Level Control ◽  
Cross Sectional ◽  
Test Technique ◽  
Pi Controllers ◽  
Tank System ◽  
Optimal State Feedback ◽  
Level Process

The liquid level control in conical tank is tough task owing to variable cross-sectional area. The replica of the conical tank is recognized using standard step test technique and is approximated to be FOPTD model. In this paper, PSO based LQR-PI controller has been wished-for conical tank system. The PI controller gains are formulated as the optimal state-feedback gains. A PSO has been accustomed optimally to discover the weighting matrices, related to the various optimum statefeedback regulator design whereas minimizing ISE and the controller effort. The performance of the proposed PSO based LQR-PI controller is contrasted with those of GA-LQR-PI and LQR-PI controllers

scholarly journals Predictive Control Algorithm Based on Integral Action-Design and Implementation on a Conical Tank System

2018 ◽  
Vol 153 ◽  
pp. 06010 ◽  
Author(s):  
Vinayambika S Bhat ◽  
I. Thirunavukkarasu ◽  
S. Shanmuga Priya ◽  
C Shreesha
Keyword(s):  
Predictive Control ◽  
Control Algorithm ◽  
Level Control ◽  
Cross Sectional ◽  
Single Input Single Output ◽  
Predictive Algorithm ◽  
Single Output ◽  
Integral Action ◽  
Initial Stage ◽  
Tank System

This article presents a Model Predictive Control (MPC) algorithm based on integral action. Level control in process industry is challenging because of nonlinearity presents in the shape of the tank, actuators etc. The conical tank system is taken as benchmark process in the present study. It is Single Input Single Output (SISO) nonlinear system whose cross-sectional area varies along the tank height. The control algorithm is simulated using MATLAB m-file environment. The effectiveness of the predictive algorithm is also presented by experimentally validating it on a conical tank system at different heights. The interfacing of m-file with the experimental setup is the challenging task faced during the initial stage of experimental validation.

scholarly journals Soft Computing Based Tuning of PI Controller With Cuckoo Search Optimization For Level Control of Hopper Tank System

2021 ◽  
Author(s):  
Vinothkumar c ◽  
C Esakkiappan
Keyword(s):  
Soft Computing ◽  
Cuckoo Search ◽  
Pi Controller ◽  
Internal Model Control ◽  
Level Control ◽  
Search Optimization ◽  
Model Control ◽  
Tank System ◽  
Cuckoo Search Optimization ◽  
Tuning Methods

Abstract The paper work focuses on soft computing and Conventional tuning approach to design of PI controller, which provides a better sustainable performance for a nonlinear hopper tank system which is used in Wastewater treatment applications. The system processes the combination of a conical and cylindrical tank for providing Multi-region based mathematical modelling to obtain the first order with delay time (FOPDT) process transfer function model. The Ziegler Nichols, Cohen-coon, Tyreus Luben, CHR (Chien, Hrones, and Reswick), IMC (Internal Model Control), Direct Synthesis, FOPI( Fractional Order PI) Conventional tuning formulae and Cuckoo Search Optimization (CSO) algorithm are used to optimize the servo regulatory responses of PI controller. The integral and proportional gain of the PI controller is said to produce the fastest settling time and reduces the error using performance indices and achieves Liquid Level control in hopper tank. Comparison is made for the various conventional controller tuning methods with Cuckoo Search Optimization tuning responses and identified to CSO-PI method offers enhanced Optimized Performance while comparing to Conventional tuning methods for a region based system.

scholarly journals Level Control of Nonlinear Hopper Tank Process in Pharmaceutical Industry using Ziegler Nicholas and Cohen Coon Tuning Techniques

2019 ◽  
Vol 8 (10) ◽  
pp. 4093-4096
Keyword(s):  
Open Loop ◽  
Step Response ◽  
Level Control ◽  
Cross Sectional ◽  
Tuning Method ◽  
Simulink Model ◽  
Non Linear ◽  
Tank System ◽  
Tuning Systems ◽  
The Relationship

In this paper, the design and simulated results of conventional controllers on non linear hopper tank system are presented to attain a desired level of a process tank. The hopper tank non linear systems are used for this analysis which is also used in the field of Pharmaceutical, Petro chemical industries. Evacuation of products without wastage is possible due to non-linearity of hopper tank’s cross sectional behavior of the process. The open loop performance are determined to obtain the desired level control with conventional PI, PID controllers for various tuning techniques like step response based Ziegler Nicholas and open loop Cohen coon tuning method. The major advantage of this method is simplicity. The relationship between these two tuning systems is reproduced by Matlab Simulink model & Compared the presentation of controllers with hopper process tank.

scholarly journals Tuning of optimal P and PI controllers for level control of single tank system

2016 ◽  
Vol 3 (23) ◽  
pp. 165-169 ◽  
Author(s):  
S. Singh ◽  
V. P. Singh ◽  
S. P. Singh ◽  
R. K. Dohare ◽  
S. Agarwal
Keyword(s):  
Level Control ◽  
Pi Controllers ◽  
Tank System

Influence of different fuzzy operators on analytical structure and variable gains of typical interval type-2 fuzzy PI controller

2020 ◽  
Vol 39 (3) ◽  
pp. 4319-4329
Author(s):  
Haibo Zhou ◽  
Chaolong Zhang ◽  
Shuaixia Tan ◽  
Yu Dai ◽  
Ji’an Duan ◽  
...  
Keyword(s):  
Pi Controller ◽  
Real Time Control ◽  
Fuzzy Operators ◽  
Fuzzy Operator ◽  
Analytical Structure ◽  
Product Operator ◽  
Pi Controllers ◽  
Fuzzy Pi Controller ◽  
Interval Type

The fuzzy operator is one of the most important elements affecting the control performance of interval type-2 (IT2) fuzzy proportional-integral (PI) controllers. At present, the most popular fuzzy operators are product fuzzy operator and min() operator. However, the influence of these two different types of fuzzy operators on the IT2 fuzzy PI controllers is not clear. In this research, by studying the derived analytical structure of an IT2 fuzzy PI controller using typical configurations, it is proved mathematically that the variable gains, i.e., proportional and integral gains of typical IT2 fuzzy PI controllers using the min() operator are smaller than those using the product operator. Moreover, the study highlights that unlike the controllers based on the product operator, the controllers based on the min() operator have a simple analytical structure but provide more control laws. Real-time control experiments on a linear motor validate the theoretical results.

DETERMINATION OF THE FUNCTION OF THE ROD’S CROSS-SECTIONAL AREA USING VIBRATION EIGENFREQUENCIES

2020 ◽  
Vol 0 (4) ◽  
pp. 19-24
Author(s):  
I.M. UTYASHEV ◽  
◽  
A.A. AITBAEVA ◽  
A.A. YULMUKHAMETOV ◽  
◽  
...  
Keyword(s):  
Cross Sectional Area ◽  
Variable Cross ◽  
Sectional Area ◽  
Longitudinal Vibrations ◽  
Cross Sectional ◽  
Method Error ◽  
Various Boundary Conditions ◽  
Elastic Fixation ◽  
Crosssectional Area

The paper presents solutions to the direct and inverse problems on longitudinal vibrations of a rod with a variable cross-sectional area. The law of variation of the cross-sectional area is modeled as an exponential function of a polynomial of degree n . The method for reconstructing this function is based on representing the fundamental system of solutions of the direct problem in the form of a Maclaurin series in the variables x and λ. Examples of solutions for various section functions and various boundary conditions are given. It is shown that to recover n unknown coefficients of a polynomial, n eigenvalues are required, and the solution is dual. An unambiguous solution was obtained only for the case of elastic fixation at one of the rod’s ends. The numerical estimation of the method error was made using input data noise. It is shown that the error in finding the variable crosssectional area is less than 1% with the error in the eigenvalues of longitudinal vibrations not exceeding 0.0001.

Longitudinal oscillation of a rod with a variable cross section

2019 ◽  
Vol 14 (2) ◽  
pp. 138-141
Author(s):  
I.M. Utyashev
Keyword(s):  
Cross Section ◽  
Natural Frequencies ◽  
Liouville Problem ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Longitudinal Vibrations ◽  
Cross Sectional ◽  
Independent Functions ◽  
The Cross ◽  
The Right

Variable cross-section rods are used in many parts and mechanisms. For example, conical rods are widely used in percussion mechanisms. The strength of such parts directly depends on the natural frequencies of longitudinal vibrations. The paper presents a method that allows numerically finding the natural frequencies of longitudinal vibrations of an elastic rod with a variable cross section. This method is based on representing the cross-sectional area as an exponential function of a polynomial of degree n. Based on this idea, it was possible to formulate the Sturm-Liouville problem with boundary conditions of the third kind. The linearly independent functions of the general solution have the form of a power series in the variables x and λ, as a result of which the order of the characteristic equation depends on the choice of the number of terms in the series. The presented approach differs from the works of other authors both in the formulation and in the solution method. In the work, a rod with a rigidly fixed left end is considered, fixing on the right end can be either free, or elastic or rigid. The first three natural frequencies for various cross-sectional profiles are given. From the analysis of the numerical results it follows that in a rigidly fixed rod with thinning in the middle part, the first natural frequency is noticeably higher than that of a conical rod. It is shown that with an increase in the rigidity of fixation at the right end, the natural frequencies increase for all cross section profiles. The results of the study can be used to solve inverse problems of restoring the cross-sectional profile from a finite set of natural frequencies.

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