Introduction and realization of four fractional-order sliding mode controllers for nonlinear open-loop unstable system: a magnetic levitation study case

2019 ◽  
Vol 98 (1) ◽  
pp. 601-621 ◽  
Author(s):  
Sandeep Pandey ◽  
Varun Dourla ◽  
Prakash Dwivedi ◽  
Anjali Junghare
Keyword(s):  
Fractional Order ◽  
Magnetic Levitation ◽  
Sliding Mode ◽  
Open Loop ◽  
Unstable System ◽  
System A ◽  
Sliding Mode Controllers ◽  
Study Case

Robust Fault Identification of Turbofan Engines Sensors Based on Fractional-Order Integral Sliding Mode Observer

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Xiaocong He ◽  
Lingfei Xiao
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Fault Identification ◽  
Integral Sliding Mode ◽  
Turbofan Engines ◽  
System A ◽  
Fault Reconstruction ◽  
Integral Sliding Surface ◽  
Fractional Order Integral

Abstract This paper presents a robust fault identification scheme based on fractional-order integral sliding mode observer (FOISMO) for turbofan engine sensors with uncertainties. The equilibrium manifold expansion (EME) model is introduced due to its simplicity and accuracy for nonlinear system. A fractional-order integral sliding mode observer is designed to reconstruct faults on sensors, in which the fractional-order integral sliding surface guarantees the fast convergence of reconstruction. The observer parameters is selected according to L2 gain theory in order to minimize the effect of uncertainties on the fault reconstruction signal. Simulations in Matlab/Simulink show high reconstruction accuracy of the proposed method despite the present of uncertainties.

scholarly journals Robust Synchronisation of Uncertain Fractional-Order Chaotic Unified Systems

2017 ◽  
Vol 71 (1-2) ◽  
pp. 69-77
Author(s):  
Naeimadeen Noghredani ◽  
Saeed Balochian
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Financial Systems ◽  
External Disturbances ◽  
Sliding Mode Controllers ◽  
Error Dynamic ◽  
Error Dynamics ◽  
Integral Sliding Surface ◽  
The Stability

Abstract Fractional-order chaotic unified systems include a variety of fractional-order chaotic systems such as Chen, Lorenz, Lu, Liu, and financial systems. This paper describes a sliding mode controller for synchronisation of fractional-order chaotic unified systems in the presence of uncertainties and external disturbances, and affirms the stability of the controller (which is composed of error dynamics). Moreover, the synchronisation of two separate fractional-order chaotic systems is studied. For this aim, fractional integral sliding surface is defined. Then the sliding mode control rule for stability of error dynamic is presented based on the Lyapunov stability theorem. Simulation results, obtained by using MATLAB, show that the proposed sliding mode has employed an appropriate approach against uncertainties and to reduce the chattering phenomenon that often occurs with sliding mode controllers.

Virtual design of a motor-toggle servomechanism with sliding mode-combined PID control

2014 ◽  
Vol 229 (1) ◽  
pp. 44-53 ◽  
Author(s):  
Seung Ho Cho ◽  
Rong-Fong Fung
Keyword(s):  
Pid Control ◽  
Controller Design ◽  
Sliding Mode ◽  
Open Loop ◽  
Clamping Force ◽  
Virtual Design ◽  
3D Cad ◽  
System A ◽  
Control Scheme ◽  
Multi Body

This paper deals with the issue of virtual design of a motor-toggle servomechanism for injection-molding machines. Based on the 3D CAD of multi-body system, a five-point-type toggle mechanism has been developed with clamping force build-up. Prior to controller design, open-loop responses are obtained to derive a transfer function. In order to accommodate mismatches between the real plant and the linear model used, a discrete-time sliding function is defined and combined with PID control. The uncertainty in the mass of moving platen and the Coulomb friction at pin joints are considered for robust motion control applications. Through the use of proposed control scheme, not only significant reduction in position error at moving platen but also clamping force build-up is achieved appropriately.

scholarly journals Optimizing the Parameters of Sliding Mode Controllers for Stepper Motor through Simulink Response Optimizer Application

2021 ◽  
Vol 1 (2) ◽  
pp. 209-225
Author(s):  
Magdi Sadek Mahmoud ◽  
Ali H. AlRamadhan
Keyword(s):  
Steady State ◽  
Sliding Mode ◽  
Open Loop ◽  
Step Response ◽  
Stepper Motor ◽  
Model Parameters ◽  
Response Requirement ◽  
Load Torque ◽  
Sliding Mode Controllers ◽  
Motor Model

This paper will focus on optimizing parameters of sliding mode controllers (SMC) for hybrid stepper motor models simulated in Matlab/Simulink. The main objective is to achieve a smooth transient and robust, steady-state to track reference rotor position when the stepper motor is subjected to load disturbances. Two different structures of SMC controllers will be studied, which are based on the flat system concept that is applicable to the stepper motor model. The hassle to determine controller parameters will be optimized using the Simulink Response Optimizer application.  The performance of the controllers will be evaluated by considering load torque and variation in the model parameters. Although the results showed that an open-loop controller could move the rotor to the desired position, however, the transient response had undesired oscillations before the output settled at the steady state. The response was improved by optimizing SMC controllers’ parameters to meet the desire step response requirement. Despite both SMC methods have successfully tracked the reference, there are some challenges to deal with each method in regard to the state measurements, the number of optimized controllers’ parameters, and the scattering of control inputs.

Sign in / Sign up

Export Citation Format

Share Document