A comparative study on existing and new methods to design internal model controllers for non-square systems

2019 ◽  
Vol 41 (13) ◽  
pp. 3637-3650 ◽  
Author(s):  
Imen Saidi ◽  
Nahla Touati ◽  
Ahmed Dhahri ◽  
Dhaou Soudani
Keyword(s):  
Internal Model ◽  
Internal Model Control ◽  
Model Inversion ◽  
Transfer Function Method ◽  
New Methods ◽  
Proposed Model ◽  
Model Control ◽  
Internal Model Controller ◽  
Square Systems ◽  
Pseudo Inverse

This paper focuses on a challenging problem in the internal model control (IMC) strategy: the model inversion to design the IMC controller for non-square systems. Several existing approaches for the synthesis of a specific inversion of the identified model will be presented in this paper to deal with the differences between the system’s inputs and outputs numbers. The non-square effective relative gain is firstly presented. It consists of the measurement of interactions between the loops of the system in order to square the system and make it invertible. The equivalent transfer function method is presented as well. It is based on tuning the pseudo-inverse of the process to design the internal model controller. These methods are then compared with a novel proposed model inversion approach based on virtual outputs method. Virtual adding is considered in order to obtain an invertible square transfer matrix to design the internal model controller. This simple yet effective method ensures robust control performance. Its efficiency and availability, as compared with other presented methods, is illustrated through simulations on an overactuated system with three inputs/two outputs.

A Novel Internal Model Control Method for Non-Square System

2012 ◽  
Vol 238 ◽  
pp. 66-70 ◽  
Author(s):  
Ling Quan ◽  
Hai Long Zhang ◽  
Yang Yang
Keyword(s):  
Time Delays ◽  
Internal Model ◽  
Control Method ◽  
Internal Model Control ◽  
Multivariable Control ◽  
Chemical Production ◽  
Model Control ◽  
The Matrix ◽  
Internal Model Controller ◽  
Square Systems

Multivariable non-square systems with time delays widely exist in the chemical production process. Owing to the matrix that is adopted to describe non-square system is not square, many classical multivariable control methods can be hardly applied in such system. In this paper, based on non-square effective relative gain (NERGA), a novel internal model control method is proposed. Firstly the input and output loops of the non-square system are paired using NERGA, and then V-norm internal model controller is designed based on the model of squared subsystem. Finally, smulation study is carried out for a non-square system. The results can demonstrate the effectiveness of the proposed method.

A novel IMC-FOF design for four wheel steering systems of distributed drive electric vehicles

2021 ◽  
pp. 095440702110314
Author(s):  
Yan Ti ◽  
Kangcheng Zheng ◽  
Wanzhong Zhao ◽  
Tinglun Song
Keyword(s):  
Fractional Order ◽  
Electric Vehicles ◽  
Internal Model ◽  
Rear Wheel ◽  
Internal Model Control ◽  
Steering Angle ◽  
Comparison Results ◽  
Model Control ◽  
Tracking Ability ◽  
Internal Model Controller

To improve handling and stability for distributed drive electric vehicles (DDEV), the study on four wheel steering (4WS) systems can improve the vehicle driving performance through enhancing the tracking capability to desired vehicle state. Most previous controllers are either a large amount of calculation, or requires a lot of experimental data, these are relatively time-consuming and laborious. According to the front and rear wheel steering angle of DDEV can be distributed independently, a novel controller named internal model controller with fractional-order filter (IMC-FOF) for 4WS systems is proposed and studied in this paper. The IMC-FOF is designed using the internal model control theory and compared with IMC and PID controller. The influence of time constant and fractional-order parameters which is optimized using quantum genetic algorithms (QGA) on tracking ability of vehicle state are also analyzed. Using a production vehicle as an example, the simulation is performed combining Matlab/Simulink and CarSim. The comparison results indicated that the proposed controller presents performance to distribute the front and rear wheel steering angle for ensuring better tracking capability to desired vehicle state, meanwhile it possesses strong robustness.

Attitude Controller Design of Multiple Independently Targeted Reentry Vehicle Based on Internal Model Control

2013 ◽  
Vol 462-463 ◽  
pp. 809-814
Author(s):  
Fei Zhao ◽  
Fan Li ◽  
Jian Hui Zhao
Keyword(s):  
Control System ◽  
Attitude Control ◽  
Internal Model ◽  
Internal Model Control ◽  
Attitude Dynamics ◽  
Attitude Control System ◽  
Reentry Vehicle ◽  
Model Control ◽  
Internal Model Controller ◽  
Attitude Controller

A Multiple Independently Targeted Reentry Vehicle (MIRV) is a ballistic missile payload containing several warheads each capable of hitting one of a group of targets. In the process of missile flight control, the release of warheads brings about coupling to the missile attitude control system which will lower the flight stability. In order to solve this problem, a missile attitude controller, which combined the α-order integral inverse system with internal model principle, was presented. Firstly, determine the Post Boost Vehicle (PBV) attitude dynamics model. Then, combine the linearization of attitude dynamics equation with feed-forward decoupling method to implement the attitude decoupling. Finally, a two-degree of freedom (TOF) multivariable internal model controller was set up to optimize the control system performance. Simulation results show that the coupling of attitude control system has been eliminated. Compared with the original system, the internal model controller provides the control system better input-tracking performance, robust stability and interference suppression capacity.

scholarly journals An Internal Model Controller for Three-Phase APF Based on LS-Extreme Learning Machine

2014 ◽  
Vol 8 (1) ◽  
pp. 717-722
Author(s):  
Zhenhua Shao ◽  
Tianxiang Chen ◽  
Li-an Chen ◽  
Hong Tian
Keyword(s):  
Control System ◽  
Least Squares ◽  
Extreme Learning Machine ◽  
Internal Model ◽  
Internal Model Control ◽  
Support Vector ◽  
Three Phase ◽  
Model Control ◽  
Internal Model Controller ◽  
Learning Machine

Aiming at the problem that the three-phase APF’s dynamic model is a multi-variable, nonlinear and strong coupling system, an internal model controller for three-phase APF based on LS-Extreme Learning Machine is studied in this paper. As a novel single hidden layer feed-forward neural networks, extreme learning machine (ELM) has several advantages: simple net structural, fast learning speed, good generalization performance and so on. In order to improve the controller’s dynamic responses, a least squares extreme learning machine for internal model control is proposed. A least squares ELM regression (LS-ELMR) model for the three-phase APFS on-line monitoring was built from external factors with in-out datum. Moreover, the relative stable error is presented to evaluate the system performance and the features for the internal model control system based on extreme learning machine, neural network, kernel ridge regress and support vector machine. The experimental results show that the LS-internal model control system based on extreme learning machine has good dynamic performance and strong filtering result.

scholarly journals Internal Model Control for Rank-Deficient System with Time Delays Based on Damped Pseudo-Inverse

Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 264
Author(s):  
Meiying Jiang ◽  
Beiyan Jiang ◽  
Qi Wang
Keyword(s):  
Time Delay ◽  
Internal Model ◽  
Control Method ◽  
Dynamic Performance ◽  
Delay System ◽  
Internal Model Control ◽  
Damping Factor ◽  
Model Control ◽  
Value Decomposition ◽  
Pseudo Inverse

It is a challenge to design a satisfactory controller for a complex multivariable industrial system with minimal offsetting and a slow response. An internal model control method is proposed for rank-deficient systems with a time delay based on a damped pseudo-inverse. An internal model control was designed to obtain the desired dynamic characteristics of the system by transforming the time-delay system into a system without a time delay, following the Pade approximation approach. By introducing a damping factor, the internal model controller was designed based on a damped pseudo-inverse, since the inverse matrix of the rank-deficient system does not exist. Furthermore, a singular value decomposition was used to analyze the steady-state performance of the system. The selection of the damping factor was also presented, and a μ analysis was made to evaluate the stability of the system. To demonstrate the effectiveness of the proposed method, a crude distillation process with five inputs and four outputs was considered as an example. The simulation results illustrate that not only can the proposed strategy guarantee the system’s stability, but it also has a relatively good dynamic performance.

scholarly journals Modified internal model control for a therapeutic robot

2017 ◽  
Vol 30 (1) ◽  
pp. 137-144 ◽  
Author(s):  
Milos Kostic ◽  
Miroslav Matausek ◽  
Dejan Popovic
Keyword(s):  
Internal Model ◽  
Training Session ◽  
Internal Model Control ◽  
Positional Error ◽  
Robot Assisted ◽  
Range Of Movement ◽  
Model Control ◽  
Internal Model Controller ◽  
Target Path ◽  
Two Phases

We present the use of the modified internal model controller (MIMC) and the ?Probability Tube? (PT) action representation for robot-assisted upper extremities training of hemiplegic patients. The robot-assisted training session has two phases. During the first "demonstration" phase the robot learns from the therapist the target path through examples. In the second "exercise" phase the robot assists a patient to follow the target path. During this process, the control limits the interface force between the robot and the hand to be below the preset threshold (F = 50 N). The system allows the assessment of the range of movement, the positional error between the target and the reached position, the amount of added assistance (the interface force between the hand and the robot). We demonstrate the operation in two hemiplegic patients. The patients and therapist suggested after the tests that the new system is straightforward and intuitive for clinical applications.

A V-Norm Decoupling IMC Method with Filters Based on Inverted Decoupling

2012 ◽  
Vol 197 ◽  
pp. 311-315 ◽  
Author(s):  
Qi Bing Jin ◽  
Rong Li
Keyword(s):  
Internal Model ◽  
Controller Design ◽  
Design Method ◽  
Industrial Process ◽  
Internal Model Control ◽  
System Model ◽  
Control Effect ◽  
Model Control ◽  
Internal Model Controller ◽  
Simulated Object

A V-norm Decoupling internal model control (IMC) method with filters based on inverted decoupling for multivariate stable object is proposed in this paper. The actual industrial process is very difficult to obtain an accurate model, which makes the control effect not satisfactory. To solve this problem, the V-norm decoupling controller is designed on the basis of the inverted decoupling, and a filter is added in front of the controller to reduce coupling and increase robustness. Compared with traditional multivariable controller designed method, the method of designing the internal model controller in this paper is simpler and less calculation. Finally, the Wood/Berry model is taken as the simulated object to verify the controller design method is reasonable. The results show that V-norm decoupling internal model controller method is effective and feasible, even the system model is mismatched.

Decoupling control of bearingless permanent magnet synchronous motors with LSSVM inverse system method and internal model controller

2020 ◽  
pp. 1-20
Author(s):  
Ke Li ◽  
Feng Ling ◽  
Xiaodong Sun ◽  
Zebin Yang
Keyword(s):  
Control System ◽  
Permanent Magnet ◽  
Internal Model ◽  
Internal Model Control ◽  
Decoupling Control ◽  
Support Vector ◽  
Inverse Models ◽  
Control Scheme ◽  
Model Control ◽  
Internal Model Controller

In this paper, a novel decoupling control scheme combining least squares support vector machines (LSSVM) inverse models and 2-degree-of-freedom (DOF) internal model controllers is employed in the decoupling control system of the bearingless permanent magnet synchronous motor (BPMSM). This scheme can be used to enhance the control properties of high-precision, fast-response, and strong-robustness for the BPMSM system, and effectively eliminate the nonlinear and coupling influence. It introduces LSSVM inverse models into the original BPMSM system to constitute a decoupled pseudo-linear system. In addition, the particle swarm optimization algorithm (PSO) is used to optimize parameters of the LSSVM, which improves its fitting ability and prediction accuracy. What is more, the internal model control scheme is used to design additional closed-loop controllers, thereby improving the robustness of the entire control system. Therefore, this scheme successfully combines the advantages of the LSSVM inverse models and the internal model controller. It can enhance the stability and the static as well as dynamic properties of the whole BPMSM system while independently adjusting the tracking and interference rejection performances. The effectiveness of the proposed scheme has been verified by simulation results at various operations.

Simulation Research on the Compound Control System of Internal Model Add Feed-Forward Compensator

2014 ◽  
Vol 597 ◽  
pp. 372-375
Author(s):  
Sheng Bo Zhang
Keyword(s):  
Control System ◽  
Internal Model ◽  
Dynamic Performance ◽  
Internal Model Control ◽  
Simulation Research ◽  
Feed Forward ◽  
Online Identification ◽  
Compound Control ◽  
Model Control ◽  
Internal Model Controller

According to the characteristics of the internal model control and feed-forward control and Combining the both advantages, the compound control system of the internal model add feed-forward compensator was designed. In order to improve the dynamic performance of the control system, online identification method is adopted to establish the internal model. The designs of the internal model controller and feed-forward compensator were detailed instructions. The simulation shows that the compound control system have not only good dynamic performance, high tracking precision and strong anti-jamming capability, but also have the change of system parameters with strong robustness.

Sign in / Sign up

Export Citation Format

Share Document