Multivariable fractional-order PID tuning by iterative non-smooth static-dynamic H∞ synthesis

2021 ◽  
Vol 24 (4) ◽  
pp. 1094-1111
Author(s):  
Atefeh Saeedian ◽  
Farshad Merrikh-Bayat ◽  
Abolfazl Jalilvand
Keyword(s):  
Steady State ◽  
Fractional Order ◽  
Rise Time ◽  
Feedback System ◽  
Open Loop ◽  
Sensitivity Function ◽  
Stability Margins ◽  
Pid Tuning ◽  
Fractional Order Pid ◽  
Zero Frequency

Abstract This paper proposes a new method for tuning the parameters of multi-input multi-output (MIMO) fractional-order PID (FOPID) controller. The aim of the proposed method is to calculate the parameters of this controller such that the rise time and steady-state errors of the feedback system are minimized without violating the predetermined stability margins. Mathematically, this problem is formulated as maximizing the spectral norm of the open-loop transfer matrix at zero frequency subject to a constraint on the H∞ -norm of the sensitivity function. This problem is nonlinear in parameters of the MIMO FOPID, which can be solved using the iterative algorithm developed in this paper based on non-smooth H∞ synthesis.

scholarly journals PI- Controlled PV Fed Fly Back Converter with Enhanced Dynamic Response

2019 ◽  
Vol 8 (2S11) ◽  
pp. 4031-4034
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Rise Time ◽  
Closed Loop ◽  
Input Voltage ◽  
Pi Controller ◽  
Open Loop ◽  
Load Variations ◽  
Simulink Model ◽  
Step Down

Fly back converter is the most popular converter because of its simplicity, low part counts and isolation. It occupies less volume and it saves cost. Fly back converter steps up and step down the voltage with the same polarity. Open loop operation remains insensitive to the input voltage and load variations. Matlab Simulink model for Fly back converter is established using PI controller. Open loop Fly back converter system and closed loop fly back converter systems are simulated and their outcomes are compared. Comparison is done in terms of Rise time ,Settling time and steady state error

An Enhanced Robust Fractional Order PID Controller for Electric Machinery System: Tuning Rules and Simulations

2015 ◽  
Author(s):  
Chunyang Wang ◽  
Meng Wu ◽  
Nianchun Cai ◽  
Xuelian Liu ◽  
Chengjun Tian
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Optimal Parameter ◽  
Design Method ◽  
Open Loop ◽  
Electrical Machinery ◽  
Integer Order ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller ◽  
Machinery System

A design method of enhanced robust fractional order PID controller is proposed to control electrical machinery system. Magnitude margin constraint, phase margin constraint and the gain robustness constraints of partly flat phase in specified dots around crossover frequency are adopted to design enhanced robust fractional order PID controller which has stronger robustness to open-loop gain variation compared with integer order PID controller. Besides, nonlinear optimization function is adopted to hunt for optimal parameter solutions of enhanced robust fractional order PID controller, so the five parameters of enhanced robust fractional order PID controller can be solved. The electrical machinery control system models are simulated and tested by MATLAB/SIMULINK, and the results show that the proposed fractional order PID controller has stronger robustness and smaller overshoot, compared with integer order PID controller.

Auto PID Tuning of Speed Control of DC Motor Using Particle Swarm Optimization Based on FPGA

2015 ◽  
Vol 776 ◽  
pp. 390-395 ◽  
Author(s):  
Hilal Tayara ◽  
Deok Jin Lee ◽  
Kil To Chong
Keyword(s):  
Particle Swarm Optimization ◽  
Steady State ◽  
Rise Time ◽  
Particle Swarm ◽  
Speed Control ◽  
Dc Motor ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Swarm Optimization ◽  
Pid Tuning

This paper introduces auto tuning of proportional-integral-derivative (PID) controllers of DC motor using particle swarm optimization (PSO) method. The DC motor was modeled in Simulink and PSO was implanted on FPGA “cyclone IV E” using the soft processor NIOS II. The results were efficient in reducing the steady state error, settling time, rise time and maximum overshoot in speed control of a DC motor.

A Fractional Calculus Perspective of PID Tuning

2003 ◽  
Author(s):  
Ramiro S. Barbosa ◽  
J. A. Tenreiro Machado ◽  
Isabel M. Ferreira
Keyword(s):  
Transfer Function ◽  
Fractional Calculus ◽  
Fractional Order ◽  
Pid Controller ◽  
Open Loop ◽  
Controller Tuning ◽  
Pid Tuning ◽  
Loop Transfer Function ◽  
Pid Controller Tuning ◽  
Fractional Order Integrator

This paper gives an interpretation of the classical PID controller tuning based on the fractional calculus theory. The PID parameters are calculated according with the specifications of an elementary system whose open-loop transfer function is a fractional order integrator (FOI). The performances of the two systems are compared and illustrated through the frequency and time responses.

scholarly journals Fractional-Order PID Controlled Unified Power Quality Conditioner System with Enhanced Response

2019 ◽  
Vol 9 (1) ◽  
pp. 6246-6250
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Power Quality ◽  
Fractional Order ◽  
Closed Loop ◽  
Settling Time ◽  
Unified Power Quality Conditioner ◽  
Non Linear ◽  
Power Quality Conditioner ◽  
Fractional Order Pid

Recently, ‘UPQC’ has been urbanized as a FACTS controller near weak buses and buses with non linear loads. ‘UPQC’ can improve receiving end voltage and provide time harmonics to the load. The UPFC and ‘UPQC’ systems are compared to find a better FACTS controller. The recommended closed loop ‘UPQC’ framework is to augment dynamic response of ‘UPQC’ system using FOPID controller. Simulink replicas are extended for PI &FOPID controlled ‘UPQC’ frameworks. The denouements of PI&FOPID based ‘UPQC’ frameworks designate that voltage retaliation of FOPID is predominant to the denouement of PI managed ‘UPQC’ system. The investigation denotes that FOPID ’UPQC’ framework has diminished settling time& steady state error.

Penerapan Advanced Pid Tuning Pada Plant Yang Critically Stable: Height Levitation Pingpong Ball

2019 ◽  
Vol 9 (01) ◽  
pp. 41-46
Author(s):  
M Iqbal Nugraha ◽  
Aan Febriansyah ◽  
A F Khoiri ◽  
D Pratama
Keyword(s):  
Steady State ◽  
Rise Time ◽  
Pid Controller ◽  
Simple Algorithm ◽  
Good Control ◽  
Settling Time ◽  
Experimental Result ◽  
Pid Tuning ◽  
Tuning Methods ◽  
State Error

PID controller is the most popular feedback controller in industry. It has been known that PID controller is capable to provide a good control performance despite having a simple algorithm and easy to understand. However, the most common problem of using this control system is that it is difficult to stipulate the most appropriate constants to each controller or tuning. This project implemented advanced PID tuning which involves several tuning methods to acquire best performance on system or plant which is volatile or critically stable such as controlling height levitation pingpong ball. The tuning methods used and compared were Ziegler-Nichols (ZN) and Chien-Hrones-Reswick (CHR). Tuning process and monitoring were performed in real time using Simulink-Arduino. Based on experimental result, CHR method gave better performance compared to ZN method. ZN resulted in overshoot, rise time, settling time, and steady state error of 48%, 0.85s, 3.8s, and ±2cm respectively, while CHR method resulted in overshoot, rise time, settling time, and steady state error of 14%, 1.15s, 1.4s, and ±1cm respectively.

Fractional Order PID Controlled PV Buck Boost Converter with Coupled Inductor

2017 ◽  
Vol 8 (3) ◽  
pp. 1401 ◽  
Author(s):  
Vanitha D ◽  
M. Rathinakumar
Keyword(s):  
Dynamic Response ◽  
Fractional Order ◽  
Closed Loop ◽  
Boost Converter ◽  
Open Loop ◽  
Superior Performance ◽  
Improved Stability ◽  
Fractional Order Pid

Buck-boost converter is a good interface between PV and the load. This paper deals with comparison between PI and FOPID controlled PV fed Buck Boost Converter with Coupled Inductor (PVBBCCI) systems. Open loop PVBBCCI system, closed loop PI controlled PVBBCCI and FOPID based PVBBCCI systems are designed, modeled and simulated using Simulink and their results are presented. The investigations indicate the superior performance of FOPID controlled PVBBCCI system. The proposed system has advantages like reduced hardware count enhanced dynamic response and improved stability.

Comparison of PI and PID Controlled Bidirectional DC-DC Converter Systems

2016 ◽  
Vol 7 (1) ◽  
pp. 56 ◽  
Author(s):  
K.C. Ramya ◽  
V. Jegathesan
Keyword(s):  
Steady State ◽  
Case Studies ◽  
Rise Time ◽  
Closed Loop ◽  
High Gain ◽  
Open Loop ◽  
Pid Controllers ◽  
Controlled Systems ◽  
Time Fall ◽  
Made In

<p>This paper deals with comparison of responses of the PI and the PID controlled bidirectional DC-DC converter systems. A coupled inductor is used in the present work to produce high gain. Open loop and closed loop controlled systems with PI and PID controllers are designed and simulated using Matlab tool. The principles of operation and simulation case studies are discussed in detail. The comparison is made in terms of rise time, fall time, peak overshoot and steady state error.</p>

Sign in / Sign up

Export Citation Format

Share Document