scholarly journals Proxy-Based Sliding Mode Vibration Control with an Adaptive Approximation Compensator for Euler-Bernoulli Smart Beams

2020 ◽  
Vol 53 (6) ◽  
pp. 825-834
Author(s):  
Hayder F.N. Al-Shuka
Keyword(s):  
Sliding Mode Control ◽  
Vibration Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Pd Control ◽  
Adaptive Approximation ◽  
Mode Control ◽  
Sinusoidal Disturbance ◽  
The Stability ◽  
Modal Equation

Proxy-based sliding mode control PSMC is an improved version of PID control that combines the features of PID and sliding mode control SMC with continuously dynamic behaviour. However, the stability of the control architecture maybe not well addressed. Consequently, this work is focused on modification of the original version of the proxy-based sliding mode control PSMC by adding an adaptive approximation compensator AAC term for vibration control of an Euler-Bernoulli beam. The role of the AAC term is to compensate for unmodelled dynamics and make the stability proof more easily. The stability of the proposed control algorithm is systematically proved using Lyapunov theory. Multi-modal equation of motion is derived using the Galerkin method. The state variables of the multi-modal equation are expressed in terms of modal amplitudes that should be regulated via the proposed control system. The proposed control structure is implemented on a simply supported beam with two piezo-patches. The simulation experiments are performed using MATLAB/SIMULINK package. The locations of piezo-transducers are optimally placed on the beam. A detailed comparison study is implemented including three scenarios. Scenario 1 includes disturbing the smart beam while no feedback loop is established (open-loop system). In scenario 2, a PD controller is applied on the vibrating beam. Whereas, scenario 3 includes implementation of the PSMC+AAC. For all previously mentioned scenarios, two types of disturbances are applied separately: 1) an impulse force of 1 N peak and 1 s pulse width, and 2) a sinusoidal disturbance with 0.5 N amplitude and 20 Hz frequency. For impulse disturbance signals, the results show the superiority of the PSMC+AAC in comparison with the conventional PD control. Whereas, both the PSMC+ACC and the PD control work well in the case of a sinusoidal disturbance signal and the superiority of the PSMC is not clear.

scholarly journals ADAPTIVE SLIDING MODE CONTROL FOR BUILDING STRUCTURES USING MAGNETORHEOLOGICAL DAMPERS

2011 ◽  
Vol 14 (4) ◽  
pp. 92-105
Author(s):  
Hai Thanh Nguyen ◽  
Nghia Hoai Duong ◽  
Chuyen Quang Lam
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Adaptive Sliding Mode Control ◽  
Building Structures ◽  
Adaptive Sliding Mode ◽  
Mr Dampers ◽  
Mode Control ◽  
Indirect Control ◽  
The Stability

The adaptive sliding mode control for civil structures using Magnetorheological (MR) dampers is proposed for reducing the vibration of the building in this paper. Firstly, the indirect sliding mode control of the structures using these MR dampers is designed. Therefore, in order to solve the nonlinear problem generated by the indirect control, an adaptive law for sliding mode control (SMC) is applied to take into account the controller robustness. Secondly, the adaptive SMC is calculated for the stability of the system based on the Lyapunov theory. Finally, simulation results are shown to demonstrate the effectiveness of the proposed controller.

New Sensorless Sliding Mode Control of a Five-phase Permanent Magnet Synchronous Motor Drive Based on Sliding Mode Observer

2017 ◽  
Vol 8 (1) ◽  
pp. 184 ◽  
Author(s):  
Anissa Hosseyni ◽  
Ramzi Trabelsi ◽  
Sanjeeve Kumar ◽  
Med Faouzi Mimouni ◽  
Atif Iqbal
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Lyapunov Theory ◽  
Sliding Mode Observer ◽  
Motor Drive ◽  
Mode Control ◽  
The Stability

<p>This paper proposes a sensorless sliding mode control (SMC) for a five phase permanent magnet synchronous motor (PMSM) based on a sliding mode observer (SMO). The stability of the proposed strategy is proved in the sense of the Lyapunov theory. The sliding mode controller is designed with an integral switching surface and the sliding mode observer is developed for the estimation of rotor position and rotor speed. The proposed sensorless control strategy exhibits good dynamic response to disturbances. Simulation results are provided to prove the effectiveness of the proposed strategy.</p>

scholarly journals Robust Integral Terminal Sliding Mode Control for Quadrotor UAV with External Disturbances

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Moussa Labbadi ◽  
Mohamed Cherkaoui
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Terminal Sliding Mode Control ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
The Stability ◽  
The Right ◽  
Quadrotor System

The purpose of this paper is to solve the problem of controlling of the quadrotor exposed to external constant disturbances. The quadrotor system is partitioned into two parts: the attitude subsystem and the position subsystem. A new robust integral terminal sliding mode control law (RITSMC) is designed for stabilizing the inner loop and the quick tracking of the right desired values of the Euler angles. To estimate the disturbance displayed on the z-axis and to control the altitude position subsystem, an adaptive backstepping technique is proposed, while the horizontal position subsystem is controlled using the backstepping approach. The stability of the quadrotor subsystems is guaranteed by the Lyapunov theory. The effectiveness of the proposed methods is clearly comprehended through the obtained results of the various simulations effectuated on MATLAB/Simulink, and a comparison with another technique is presented.

Global Robust Terminal Sliding Mode Control for PMLSM Servo System

2013 ◽  
Vol 273 ◽  
pp. 280-285 ◽  
Author(s):  
Hong Pei Han ◽  
Wu Wang ◽  
Zheng Min Bai
Keyword(s):  
Sliding Mode Control ◽  
Control Strategy ◽  
External Load ◽  
Sliding Mode ◽  
Servo System ◽  
Lyapunov Theory ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
The Stability

Permanent Magnet Linear Synchronous Motor (P MLSM was hard to control with traditional control strategy for parameters variation and external load disturbance, a global robust terminal sliding mode control (GRTSMC) was designed for PMLSM servo system, the sliding mode surface function was designed, the robust sliding mode control law was deduced and the stability was proved by Lyapunov theory. With the mathematical models of PMLSM, the simulation was taken with traditional PID control, SMC control and GRTSMC control proposed in this paper, the robust performance be found with GRTSMC control when motor parameters and external load changed, the efficiency and advantages of this robust control strategy was successfully demonstrated.

Design Higher Order Sliding Mode Controller for a Class of SISO Uncertain Nonlinear System

2013 ◽  
Vol 397-400 ◽  
pp. 1442-1445
Author(s):  
Jin Liu ◽  
Gang Ding ◽  
Zhan Shan Zhao
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Higher Order ◽  
Lyapunov Theory ◽  
Uncertain Nonlinear System ◽  
Mode Control ◽  
Satisfactory Performance ◽  
The Stability ◽  
Control Methodology ◽  
Bounded Uncertainties

A higher order sliding mode control design is considered for a class of uncertain nonlinear systems with unknown bounded uncertainties. This method can be viewed as the finite time stabilization based on integral sliding mode control and geometric homogeneity. Based on the Lyapunov theory, the system trajectory is guaranteed to approach the sliding surface. Only one adaptive gain parameter is required. The stability and the robustness of the control system are proven. Numerical experiments illustrate the satisfactory performance of the proposed control methodology.

A Novel Exoskeleton with Fractional Sliding Mode Control for Upper Limb Rehabilitation

Robotica ◽  
2020 ◽  
Vol 38 (11) ◽  
pp. 2099-2120 ◽  
Author(s):  
Md Rasedul Islam ◽  
Mehran Rahmani ◽  
Mohammad Habibur Rahman
Keyword(s):  
Sliding Mode Control ◽  
Upper Limb ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Upper Limb Rehabilitation ◽  
Mode Control ◽  
Wide Range ◽  
The Stability ◽  
Limb Rehabilitation

SUMMARYThe robotic intervention has great potential in the rehabilitation of post-stroke patients to regain their lost mobility. In this paper, firstly, we present a design of a novel, 7 degree-of-freedom (DOF) upper limb robotic exoskeleton (u-Rob) that features shoulder scapulohumeral rhythm with a wide range of motions (ROM) compared to other existing exoskeletons. An ergonomic shoulder mechanism with two passive DOF was included in the proposed exoskeleton to provide scapulohumeral motion with corresponding full ROM. Also, the joints of u-Rob have more range of motions compared to its existing counterparts. Secondly, we propose a fractional sliding mode control (FSMC) to control u-Rob. Applying the Lyapunov theory to the proposed control algorithm, we showed the stability of it. To control u-Rob, FSMC has shown effectiveness to handle unmodeled dynamics (e.g. friction, disturbance, etc.) in terms of better tracking and chatter compared to traditional SMC.

scholarly journals Observer-based adaptive neural network backstepping sliding mode control for switched fractional order uncertain nonlinear systems with unmeasured states

2021 ◽  
pp. 002029402110211
Author(s):  
Tao Chen ◽  
Damin Cao ◽  
Jiaxin Yuan ◽  
Hui Yang
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Neural Network ◽  
Dynamic Surface ◽  
Mode Control ◽  
The Stability

This paper proposes an observer-based adaptive neural network backstepping sliding mode controller to ensure the stability of switched fractional order strict-feedback nonlinear systems in the presence of arbitrary switchings and unmeasured states. To avoid “explosion of complexity” and obtain fractional derivatives for virtual control functions continuously, the fractional order dynamic surface control (DSC) technology is introduced into the controller. An observer is used for states estimation of the fractional order systems. The sliding mode control technology is introduced to enhance robustness. The unknown nonlinear functions and uncertain disturbances are approximated by the radial basis function neural networks (RBFNNs). The stability of system is ensured by the constructed Lyapunov functions. The fractional adaptive laws are proposed to update uncertain parameters. The proposed controller can ensure convergence of the tracking error and all the states remain bounded in the closed-loop systems. Lastly, the feasibility of the proposed control method is proved by giving two examples.

scholarly journals Sliding Mode Control and Geometrization Conjecture in Seismic Response

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 353
Author(s):  
Ligia Munteanu ◽  
Dan Dumitriu ◽  
Cornel Brisan ◽  
Mircea Bara ◽  
Veturia Chiroiu ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Ricci Flow ◽  
Lyapunov Functions ◽  
Seismic Waves ◽  
Sliding Mode ◽  
Flow Process ◽  
Mode Control ◽  
Finite Period ◽  
The Stability ◽  
Story Building

The purpose of this paper is to study the sliding mode control as a Ricci flow process in the context of a three-story building structure subjected to seismic waves. The stability conditions result from two Lyapunov functions, the first associated with slipping in a finite period of time and the second with convergence of trajectories to the desired state. Simulation results show that the Ricci flow control leads to minimization of the displacements of the floors.

scholarly journals Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Junbiao Guan ◽  
Kaihua Wang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Secure Communication ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Order System ◽  
Mode Control ◽  
The Stability

A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document