scholarly journals Robust Adaptive Sliding Mode Controller for a Nonholonomic Mobile Platform

2019 ◽  
Vol 25 (8) ◽  
pp. 19-38
Author(s):  
Shibly Ahmed Al-Samarraie ◽  
Taif Ghadban Hama

In this paper, a robust adaptive sliding mode controller is designed for a mobile platform trajectory tracking.  The mobile platform is an example of a nonholonomic mechanical system. The presence of holonomic constraints reduces the number of degree of freedom that represents the system model, while the nonholonomic constraints reduce the differentiable degree of freedom. The mathematical model was derived here for the mobile platform, considering the existence of one holonomic and two nonholonomic constraints imposed on system dynamics. The partial feedback linearization method was used to get the input-output relation, where the output is the error functions between the position of a certain point on the platform and the desired path. The dynamic error model was considered uncertain and subjected to friction torques on the wheels. The adaptive sliding mode control was utilized to design a robust controller, that will force the platform to follow the desired trajectory. The simulation of the proposed controller was done via MATLAB to reveal the ability of the robust adaptive sliding mode controller applied as a trajectory tracker for various path shapes.  

2019 ◽  
Vol 13 (2) ◽  
pp. 92-99 ◽  
Author(s):  
Korosh Rouhollahi ◽  
Mehran Emadi Andani ◽  
Javad Askari Marnanii ◽  
Seyed Mahdi Karbassi

Author(s):  
S. H. Chung ◽  
Eric H. K. Fung

The piezoelectric tube actuator of Atomic Force Microscope (AFM) realizes rapid scanning in nano-scale. However, hysteresis, creep and coupling effect of piezoelectric tube actuator significantly limit the precision of AFM. In this paper, an adaptive sliding mode controller is proposed to minimize the tracking error due to the adverse effects. The piezoelectric tube actuator is characterized as a multiple-input-multiple-output (MIMO) nonlinear time-varying system because of hysteresis and creep. The controller is designed based on the reduced order nonlinear finite element (FE) model. Hysteresis is divided into a linear part and a bounded time-varying unknown part to reduce the bound of the uncertainties. The latter part together with creep and electrode dislocation is considered as bounded uncertainty. The controller gains of the equivalent control part are estimated through adaptive laws. The sliding mode observer is designed based on Walcott Zak observer for estimating the unmeasurable states. Lyapunov criterion is stated to guarantee the stability of the closed loop system. The simulation of the piezoelectric tube actuator with the adaptive sliding mode controller is performed under scanning operation. The result shows that the tracking errors are bounded in small values. Finally, the performance of the adaptive sliding mode controller is compared with the output feedback controller and the proportional-integral (PI) controller which is commonly adopted in AFM.


2013 ◽  
Vol 816-817 ◽  
pp. 363-366
Author(s):  
Yu Feng Li ◽  
Kui Wu Li ◽  
Yu Tian Pan ◽  
Bao Quan Guo

A new fuzzy adaptive sliding mode controller based on fuzzy compensation for robot is proposed. The control architecture employs fuzzy systems to compensate adaptively for plant uncertainties to distinguish different disturbance compensation terms and approximate each of them respectively. By analyzing and comparing the simulation results, it is obviously shown that the control system can lighten the effect on the control system caused by different disturbance factors and eliminate the system chattering than that of traditional SMC.


Author(s):  
J. Fei ◽  
C. Batur

This paper presents a novel adaptive sliding mode control with a sliding mode observer for a MEMS gyroscope. The proposed adaptive sliding mode controller with a sliding mode observer which reconstructs the unmeasured states can estimate the angular velocity and the linear damping and stiffness coefficients of the gyroscope despite parameter variations and external disturbance. An adaptive sliding mode controller with a proportional and integral sliding surface is derived and the stability condition of the closed-loop system is established. The numerical simulation for the MEMS gyroscope model is performed to verify the effectiveness of the proposed adaptive sliding mode control with sliding mode observer.


2016 ◽  
Vol 27 (20) ◽  
pp. 2795-2809 ◽  
Author(s):  
Saikat Dutta ◽  
Sang-Min Choi ◽  
Seung-Bok Choi

This work proposes a new adaptive sliding mode controller to enhance ride comfort and steering stability of automobile associated with a semi-active magneto-rheological damper. In this study, a Macpherson strut type suspension system which is widely used in light vehicles is considered. The dynamic model of the Macpherson strut with magneto-rheological damper is obtained and the governing equations are then formulated using kinematic properties of the suspension system following Lagrange’s formulation. In the formulation of the model, both the rotation of the wheel assembly and the lateral stiffness of the tire are considered to represent the nonlinear characteristic of Macpherson type suspension system. Subsequently, in order to effectively reduce unwanted vibrations, a new adaptive sliding mode controller is designed by adopting moving sliding surface instead of conventional fixed sliding surface. In order to demonstrate the effectiveness of the proposed controller, a cylindrical magneto-rheological damper is designed and manufactured on the basis of practical application conditions such as required damping force. Then, ride comfort, suspension travel, and road handling are evaluated and some benefits of the proposed controller such as enhanced ride comfort are evaluated.


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