scholarly journals A Practical Unified Algorithm of P-IMC Type

Processes ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 165 ◽  
Author(s):  
Vasile Cirtoaje
Keyword(s):  
Internal Model Control ◽  
Tuning Parameter ◽  
Feedback Gain ◽  
Model Parameters ◽  
Strong Impact ◽  
Pid Algorithm ◽  
Model Control ◽  
Unified Algorithm ◽  
Unstable Processes ◽  
Process Feedback

The paper presents a practical algorithm of the proportional-internal model control (P-IMC) type that can be applied to control a wide class of processes: Stable proportional processes, integral processes and some unstable processes. The P-IMC algorithm is a suitable combination between the P0-IMC algorithm and the P1-IMC algorithm, which are characterized by a too weak and a too strong impact of the tuning gain on the control action, respectively. The overall controller has five parameters: A tuning parameter K, three model parameters (steady-state gain, settling time, and time delay) and a process feedback gain used only for integral or unstable processes, to turn them into a compensated process (stable and of proportional type). For a step setpoint, the initial value of the compensated process input is approximately K times its final value. Furthermore, for K = 1 , the compensated process input is close to a step shape (step control principle). These properties enable a human operator to check and adjust online the model parameters. Due to its control performance, robustness to modeling error, and capability to be easily tuned and applied for all industrial processes, the P-IMC algorithm could be a viable alternative to the known PID algorithm. Numerical simulations are given to highlight the performance and the flexibility of the algorithm.

Improved Internal Model Control-Proportional-Integral- Derivative Fractional-Order Multiloop Controller Design for Non Integer Order Multivariable Systems

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Tassadit Chekari ◽  
Rachid Mansouri ◽  
Maamar Bettayeb
Keyword(s):  
Fractional Order ◽  
Degrees Of Freedom ◽  
Controller Design ◽  
Mimo Systems ◽  
Design Method ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Multivariable Systems ◽  
Integer Order ◽  
Model Control

This paper is aimed to propose a multiloop control scheme for fractional order multi-input multi-output (FO-MIMO) systems. It is an extension of the FO-multiloop controller design method developed for integer order multivariable systems to FO-MIMO ones. The interactions among the control loops are considered as disturbances and a two degrees-of-freedom (2DOF) paradigm is used to deal with the process outputs performance and the interactions reduction effect, separately. The proposed controller design method is simple, in relation with the desired closed-loop specifications and a tuning parameter. It presents an interest in controlling complex MIMO systems since fractional order models (FO-models) represent some real processes better than integer order ones and high order systems can be approximated by FO-models. Two examples are considered and compared with other existing methods to evaluate the proposed controller.

scholarly journals PERANCANGAN METODE INTERNAL MODEL CONTROL 2 DEGREE OF FREEDOM (IMC 2 DOF) UNTUK PENGENDALIAN MODEL SHELL HEAVY OIL FRACTIONATOR (SHOF)

TRANSIENT ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 40
Author(s):  
Fatamorgana Surgani ◽  
Budi Setiyono ◽  
Sumardi Sumardi
Keyword(s):  
Heavy Oil ◽  
Internal Model ◽  
Dead Time ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Relative Gain ◽  
Set Point ◽  
First Order ◽  
Model Control ◽  
Relative Gain Array

Shell Heavy Oil Fractionator (SHOF) adalah jenis kolom distilasi yang digunakan untuk memisahkan heavy oil mentah menjadi produk-produk yang diinginkan berdasarkan perbedaan titik didih dari masing-masing produk tersebut. Perancangan kendali pada SHOF memiliki beberapa kendala yang disebabkan oleh non-linearitas pada proses, interaksi multivariabel, adanya waktu tunda (dead time) yang panjang, dan adanya gangguan. Berdasarkan hal tersebut, dibutuhkan metode kendali yang mampu membuat respon sistem mengikuti perubahan set point dan meredam gangguan, sehingga keluaran komposisi produk sesuai dengan yang diharapkan. Pada penelitian ini dibahas perancangan metode IMC 2 DoF untuk pengendalian SHOF MIMO 3x3 terdesentralisasi dalam bentuk fungsi alih first order plus dead time (FOPDT), hal ini dikarenakan metode IMC 2 DoF merupakan salah satu jenis metode kendali modern yang mampu mengendalikan plant multivariabel dan meredam gangguan yang ada. Tuning parameter filter pada pengendali ini menggunakan empat metode tuning parameter filter IMC. Interaksi antar subsistem dikurangi dengan menerapkan metode Relative Gain Array dan melakukan decoupling. Berdasarkan seluruh pengujian yang telah dilakukan, pengendali IMC 2 DoF menggunakan decoupling metode tuning parameter filter Rivera memiliki jumlah nilai IAE terbaik dibandingkan dengan ketiga metode tuning lainnya dengan nilai IAE 93,9585 pada respon , 40,0476 pada respon , dan  0,0102 pada respon .

scholarly journals New tuning rules for PID controllers based on IMC with minimum IAE for inverse response processes

DYNA ◽  
2015 ◽  
Vol 82 (194) ◽  
pp. 111-118 ◽  
Author(s):  
Fabio Castrillón Hernández ◽  
Duby Castellanos-Cárdenas
Keyword(s):  
Dead Time ◽  
Stability Limit ◽  
Absolute Error ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Pid Controllers ◽  
Response System ◽  
Model Control ◽  
Inverse Response ◽  
Tuning Rules

In this paper new tuning rules for Proportional Integral Derivative (PID) are presented, which are based on Internal Model Control (IMC). This set of equations minimizes the performance index, in this case, the Integral Absolute Error (IAE). Furthermore, a correlation is proposed in order to calculate the tuning parameter of the method, where a holding oscillation response is obtained regarding changes in the set point. This value represents a stability limit for the IMC method. The overall development is then applied to an Inverse Response System of second order and with dead time.

scholarly journals Control System Design Based on a Universal First Order Model with Time Delays

10.14311/258 ◽  
2001 ◽  
Vol 41 (4-5) ◽  
Author(s):  
T. Vyhlídal ◽  
P. Zítek
Keyword(s):  
Control Algorithm ◽  
Internal Model Control ◽  
Model Parameters ◽  
Order Model ◽  
Relay Feedback ◽  
First Order ◽  
Control Scheme ◽  
Model Control ◽  
Siso Systems ◽  
Modelling Approach

An original modelling approach for SISO systems is presented, based on a first order model with more than one delay in its structure. By means of this model it is possible truly to hit off the properties of systems which are conventionally described by higher order models. The identification method making use of a relay feedback test combined with transient responses of the system has proved to be suitable for assessing the model parameters. With respect to its plain structure the model is well suited to be applied in the framework of an internal model control scheme (IMC). The resultant control algorithm with only one optional parameter is very simple and can easily be implemented, for example by means of a programmable controller (PLC).

scholarly journals Optimised control using proportional-integral-derivative controller tuned using internal model control

2020 ◽  
Vol 10 (3) ◽  
pp. 2452
Author(s):  
B. Mabu Sarif ◽  
D. V. Ashok Kumar ◽  
M. Venu Gopala Rao
Keyword(s):  
Pid Controller ◽  
Time Delays ◽  
Internal Model ◽  
Discrete Systems ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Continuous Systems ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Model Control

Time delays are generally unavoidable in the designing frameworks for mechanical and electrical systems and so on.. In both continuous and discrete schemes, the existence of delay creates undesirable impacts on the under-thought which forces exacting constraints on attainable execution.The presence of delay confounds the design structure procedure also. It makes continuous systems boundless dimensional and also extends the readings in discrete systems fundamentally. As the Proportional-Integral-Derivative (PID) controller based on internal model control is essential and strong to address the vulnerabilities and aggravations of the model. But for an real industry process, they are less susceptible to noise than the PID controller.It results in just one tuning parameter which is the time constant of the closed-loop system λ, the internal model control filter factor.It additionally gives a decent answer for the procedure with huge time delays. The design of the PID controller based on the internal model control, with approximation of time delay using Pade’ and Taylor’s series is depicted in this paper. The first order filter used in the design provides good set-point tracking along with disturbance rejection.

scholarly journals Smooth Adaptive Internal Model Control Based on U Model for Nonlinear Systems with Dynamic Uncertainties

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Li Zhao ◽  
Jing Wang ◽  
Weicun Zhang
Keyword(s):  
Internal Model ◽  
Closed Loop ◽  
Control Method ◽  
Nonlinear Dynamic System ◽  
Adaptive Methods ◽  
Internal Model Control ◽  
Model Parameters ◽  
Equivalent System ◽  
External Disturbances ◽  
Model Control

An improved smooth adaptive internal model control based on U model control method is presented to simplify modeling structure and parameter identification for a class of uncertain dynamic systems with unknown model parameters and bounded external disturbances. Differing from traditional adaptive methods, the proposed controller can simplify the identification of time-varying parameters in presence of bounded external disturbances. Combining the small gain theorem and the virtual equivalent system theory, learning rate of smooth adaptive internal model controller has been analyzed and the closed-loop virtual equivalent system based on discrete U model has been constructed as well. The convergence of this virtual equivalent system is proved, which further shows the convergence of the complex closed-loop discrete U model system. Finally, simulation and experimental results on a typical nonlinear dynamic system verified the feasibility of the proposed algorithm. The proposed method is shown to have lighter identification burden and higher control accuracy than the traditional adaptive controller.

scholarly journals Control of Dynamic Positioning Ship Using Internal Model Control

2020 ◽  
Vol 2 (3) ◽  
pp. 140-152
Author(s):  
Nguyen Van Vi Quoc ◽  
Duong Hoai Nghia
Keyword(s):  
Control System ◽  
Pid Control ◽  
Internal Model ◽  
Internal Model Control ◽  
Automated System ◽  
Tuning Parameter ◽  
Dynamic Positioning ◽  
Stability Robustness ◽  
Model Control ◽  
Simulation Results

Dynamic Positioning Ship System (DP) is an automated system, which is used to keep the ship maintain its position and heading at a fixed location or navigate along a predetermined track exclusively by mean of its own actives propulsions systems without using such fixing device as the anchor. DP system’s task is to control the ship moving at a fixed position or moves following the route for previous with low speed to execute a task. This paper presents a novel stability robustness controller for a dynamic positioning ship with uncertainties and unknown external disturbances. For the development and testing of the controller we present shematic diagram of DP systems, the mathematical modeling of the ship and the bias forces as slowly-varying environmental disturbances. The proposed controller has two loops. The inner loop uses an internal model control (IMC) technique to control the speed of the ship. The outer loop uses a propotional (P) control ler to control the position of the ship. The stability robustness of the control system is analysed. One of the key aspects of the prposed controller is that the robustness of the closed loop system can tuned via a single tuning parameter. The simulation results demonstrate that the proposed control system has high performance and robustness in the present of environment disturbance and uncertainty. The proposed control system was compared with PID control.The control algorithm of ship dynamic positioning is generally based on the classic PID, PID control has many advantages and has a strong robustness. However, the parameters of the PID control depend on the test will cost a lot of time and energy. Simulation results are provided to illustrate the effectiveness of the proposed controller. The problem of guidance and control of thruster actuators is out of scope of the paper.

Sign in / Sign up

Export Citation Format

Share Document