IMC-PID Fractional Order Filter Multi-loop Controller Design for Multivariable Systems Based on Two Degrees of Freedom Control Scheme

2018 ◽  
Vol 16 (2) ◽  
pp. 689-701 ◽  
Author(s):  
Tassadit Chekari ◽  
Rachid Mansouri ◽  
Maamar Bettayeb
Keyword(s):  
Fractional Order ◽  
Degrees Of Freedom ◽  
Controller Design ◽  
Multivariable Systems ◽  
Two Degrees Of Freedom ◽  
Order Filter ◽  
Control Scheme

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.

Backstepping Controller Design for a 5 DOF Spherical Inverted Pendulum

2019 ◽  
Vol 41 ◽  
pp. 37-50 ◽  
Author(s):  
Soukaina Krafes ◽  
Zakaria Chalh ◽  
Abdelmjid Saka
Keyword(s):  
Degrees Of Freedom ◽  
Inverted Pendulum ◽  
Controller Design ◽  
Linear Quadratic Regulator ◽  
Performance Comparison ◽  
Virtual Reality Environment ◽  
Linear Quadratic ◽  
Control Scheme ◽  
Linearized System ◽  
Backstepping Controller

This paper presents a Backstepping controller for five degrees of freedom Spherical Inverted Pendulum. Since the system is nonlinear, unstable, underactuated and MIMO and has a nonsquare form, the classic control design cannot be applied to control it. In order to remedy this problem, we propose in this paper a new method based on hierarchical steps of the Backstepping controller taking into a count the nonlinearities that cannot be neglected. Furthermore, a Linear Quadratic Regulator controller and LQR + PID based on the linearized system model are also designed for performance comparison. Finally, a simulation study is carried out to prove the effectiveness of proposed control scheme and is validated using the virtual reality environment that proves the performance of the Backstepping controller over the linear ones where it brings the pendulum from any initial condition in the upper hemisphere while the base is brought to the origin of the coordinates.

scholarly journals Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Hua Chen ◽  
Wen Chen ◽  
Binwu Zhang ◽  
Haitao Cao
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Second Order ◽  
External Disturbances ◽  
Globally Asymptotically Stable ◽  
Control Scheme ◽  
Chattering Free ◽  
Second Order Sliding Mode

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.

scholarly journals Multi-Loop PID Controller Design for MIMO Processes Based on SIMC Fractional Order Filter

2019 ◽  
Vol 9 (1) ◽  
pp. 4595-4600
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Controller Design ◽  
Process Variables ◽  
Loop Control ◽  
Set Point ◽  
Control Loops ◽  
Order Filter ◽  
Multiloop Control ◽  
Relative Gains

This paper presents a multiloop control for the different dimensional multivariable processes which are having the strong interrelation amid its variables. The objective of this discussion is to enhance the overall performance of the system by reducing the effects of interrelation of process variables. The prerequisite for design of multi loop control is to determine the best pair of controlled variables. In this paper the pair of variables is identified by using the relative gains of the process variables. Based on these, the pair of possible control loops is identified and their FOPDT models are approximated. Then to improve the servo operation (for set point changes in input) the PID controller parameters are calculated for these models using Simplified IMC tuning formulas. To minimize the effects of interrelations fractional order filter is used. With this combination, the overall objective of the control system is fulfilled i.e., tracking the set point and lessening the interaction. To show the effectiveness, the two examples are considered with different dimension, interaction and controller is designed. The results show that the SIMC algorithm improved the performance of the system.

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