Weighted Internal Model Control-Proportional Integral Derivative Control Scheme Via Fractional Gradient Descent Algorithm

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Shivam Jain ◽  
Yogesh V. Hote
Keyword(s):  
Internal Model ◽  
Gradient Descent ◽  
Controller Design ◽  
Convex Combination ◽  
Adaptive Controller ◽  
Internal Model Control ◽  
Model Control ◽  
Gradient Descent Algorithm ◽  
Individual Candidate ◽  
The Individual

Abstract An adaptive controller design technique based on internal model control (IMC) scheme is proposed in this paper. Multiple IMC controllers having different values of filter time constants and exhibiting widely different performance are combined via weight update rule. The weight update rule, formulated via convex combination of integral and fractional order gradient descent algorithms, assigns time varying weights to individual candidate controllers to obtain an enhanced performance over the individual candidate controllers. The beauty of the proposed technique is that it employs the simplicity of one degree-of-freedom (1DOF) IMC structure to achieve an improved performance over existing 2DOF control schemes. The efficacy of the proposed technique is demonstrated via three illustrative examples and via experimental validation on the hardware setup of dc servosystem. An extensive comparative analysis in terms of simulation plots and performance indices offers a testimony to the effectiveness of the proposed scheme.

Robust Controllers for Pulse-Width-Modulated D.C./D.C. Converters Using Internal-Model-Control Design

1993 ◽  
Vol 207 (3) ◽  
pp. 127-134 ◽  
Author(s):  
D Garabandić ◽  
T Petrović
Keyword(s):  
Model Uncertainty ◽  
Pulse Width ◽  
Internal Model ◽  
Controller Design ◽  
Optimization Method ◽  
Internal Model Control ◽  
Linear Feedback ◽  
Pulse Width Modulated ◽  
Linear Feedback Controller ◽  
Model Control

A linear feedback controller for pulse-width-modulated d.c./d.c. regulator is designed using a frequency domain optimization method based on internal-model-control theory. This method aims to produce suboptimal low-order controllers which are ‘robust’, in the sense that the closed-loop system is guaranteed to meet stability objectives in the presence of model uncertainty. The small-signal model of a d.c./d.c. converter is used for the controller design. The model uncertainty description derived here is based on experiments and non-linear modelling. The result of the synthesis is a family of controllers, and each member of this family satisfies the robust control objectives. All controllers have a multi-loop structure including two feedback loops and one feedforward loop. A detailed design of the controller, including experimental results, is presented.

U-Model-Based Internal Model Control for Non-Linear Dynamic Plants

2005 ◽  
Vol 219 (6) ◽  
pp. 449-458 ◽  
Author(s):  
M Shafiq ◽  
M Haseebuddin
Keyword(s):  
Internal Model ◽  
Computational Algorithm ◽  
Controller Design ◽  
Internal Model Control ◽  
Rate Parameter ◽  
Polynomial Representation ◽  
Linear Polynomial ◽  
Polynomial Controller ◽  
Model Control ◽  
Non Linear

In this paper, a U-model in the internal model control (IMC) structure is used. The U-model is a control-oriented model applicable to a wide class of non-linear plants. It is a non-linear polynomial representation of the plant, which allows the use of well-established polynomial controller design methodologies. A learning rate parameter is introduced in the inverse finding computational algorithm in order to improve the convergence and stability properties. Computer simulation results and real-time experimental results are presented to show the effectiveness of the proposed method.

Internal Model Control Design for Autothermal Reforming System

2014 ◽  
Vol 627 ◽  
pp. 236-240 ◽  
Author(s):  
Chananchai Wutthithanyawat ◽  
Nawadee Srisiriwat
Keyword(s):  
Control System ◽  
Temperature Control ◽  
Reaction Temperature ◽  
Internal Model ◽  
Controller Design ◽  
Autothermal Reforming ◽  
Internal Model Control ◽  
Cold Weather ◽  
Model Control ◽  
Feed Temperature

This paper focuses on the control system design for a process of autothermal reforming (ATR) of ethanol. The targeted application is within an on-board fuel processor of ATR operating at the adiabatic reaction temperature for hydrogen production. An internal model control (IMC) method is designed for controlling the adiabatic reaction temperature of ATR reactor by manipulating the input air flow rate. Two strategies of controller design with and without the feed temperature control of the preheater unit are proposed in order to determine the suitable controller system as the surrounding temperature is a major disturbance for cold weather. Theoretical analysis demonstrates that IMC strategy can achieve desired performance. Two loops of control system of the ATR process combined with the feed temperature control can compensate the surrounding temperature better than without the feed temperature control.

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.

scholarly journals On Synergistic Integration of Adaptive Dithering Based Internal Model Control for Hysteresis Compensation in Piezoactuated Nanopositioner

2015 ◽  
Vol 2015 ◽  
pp. 1-19 ◽  
Author(s):  
Saikat Kumar Shome ◽  
Mangal Prakash ◽  
Sourav Pradhan ◽  
Arpita Mukherjee
Keyword(s):  
Internal Model ◽  
Tracking Error ◽  
Integrated Approach ◽  
Adaptive Controller ◽  
Internal Model Control ◽  
Cell Manipulation ◽  
Force Microscopy ◽  
Hysteresis Compensation ◽  
Rate Dependent ◽  
Model Control

Piezoelectric-stack actuated platforms are very popular in the parlance of nanopositioning with myriad applications like micro/nanofactory, atomic force microscopy, scanning probe microscopy, wafer design, biological cell manipulation, and so forth. Motivated by the necessity to improve trajectory tracking in such applications, this paper addresses the problem of rate dependent hysteretic nonlinearity in piezoelectric actuators (PEA). The classical second order Dahl model for hysteresis encapsulation is introduced first, followed by the identification of parameters through particle swarm optimization. A novel inversion based feedforward mechanism in combination with a feedback compensator is proposed to achieve high-precision tracking wherein the paradoxical concept of noise as a performance enhancer is introduced in the realm of PZAs. Having observed that dither induced stochastic resonance in the presence of periodic forcing reduces tracking error, dither capability is further explored in conjunction with a novel output harmonics based adaptive control scheme. The proposed adaptive controller is then augmented with an internal model control based approach to impart robustness against parametric variations and external disturbances. The proposed control law has been employed to track multifrequency signals with consistent compensation of rate dependent hysteresis of the PEA. The results indicate a greatly improved positioning accuracy along with considerable robustness achieved with the proposed integrated approach even for dual axis tracking applications.

Max-Max Based Internal Model Control Method for Multivariable System with Time Delay

2012 ◽  
Vol 236-237 ◽  
pp. 356-359 ◽  
Author(s):  
Ling Quan ◽  
Hai Long Zhang
Keyword(s):  
Time Delay ◽  
Internal Model ◽  
Control Method ◽  
Controller Design ◽  
Design Method ◽  
Internal Model Control ◽  
Multivariable System ◽  
Model Control ◽  
Internal Model Controller ◽  
System With Time Delay

Multivariable system with time delay and coupling widely exist in industrial which may destroy the normal work of control system. An unconventional internal model controller design method will be introduced in this paper. The closed loop system can be decouple by calculate the inverse of transfer function matrix and the optimal diagonal decomposition matrix. Finally, this method was applied in a multivariable system with different time delays, the simulation results can show the effectiveness of this method.

scholarly journals A New Controller Design Method for Single Loop Internal Model Control Systems

2020 ◽  
Vol 29 (2) ◽  
pp. 219-229
Author(s):  
Arun RAMAVEERAPATHIRAN ◽  
Muniraj RATHINAM ◽  
Willjuice Iruthayarajan MARIA SILUVAIRAJ
Keyword(s):  
Control Systems ◽  
Internal Model ◽  
Controller Design ◽  
Design Method ◽  
Internal Model Control ◽  
Single Loop ◽  
Model Control
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