VIBRATION SUPPRESSION OF A ROTATING HUB-BEAM SYSTEM WITH A FLEXIBLE SUPPORT USING FRACTIONAL ORDER SLIDING MODE CONTROL

2017 ◽  
Vol 41 (4) ◽  
pp. 627-643 ◽  
Author(s):  
Mohsen Vakilzadeh ◽  
Mohammad Eghtesad ◽  
Mohammad Rahim Nami ◽  
Ghasem Khajepour
Keyword(s):  
Fractional Order ◽  
Vibration Suppression ◽  
Sliding Mode ◽  
Equations Of Motion ◽  
Angular Position ◽  
Industrial Applications ◽  
Superior Performance ◽  
Sensors And Actuators ◽  
Flexible Support ◽  
Wide Range

In this paper, a rotating hub-blade system with a flexible support which represents a wide range of industrial applications is considered for modelling and control. The flexible blade is assumed as an Euler–Bernoulli beam. In addition, three piezoelectric layers are mounted on the blade as sensors and actuators to reduce vibrations of the blade attached to the hub. For modelling, the Lagrange’s method is utilized to obtain the equations of motion of the system. In order to simultaneously suppress vibrations of the system and track the desired angular position of the hub, designing an appropriate controller is carried out. In this regard, a fractional order sliding mode (FOSM) controller is proposed to fulfil these objectives and then the comparison between FOSM controller and the classical sliding mode controller is presented in order to investigate the effectiveness of the proposed controller. The simulation results indicate the superior performance of the fractional order controller in compare to the integer order sliding.

Experimental study of passive vibration suppression using absorber with spherical ball impact damper

2016 ◽  
Vol 231 (17) ◽  
pp. 3193-3201 ◽  
Author(s):  
Riadh Chaari ◽  
Fathi Djemal ◽  
Fakher Chaari ◽  
Mohamed Slim Abbes ◽  
Mohamed Haddar
Keyword(s):  
Vibration Suppression ◽  
Industrial Applications ◽  
Design Parameters ◽  
Particle Impact ◽  
Ball Impact ◽  
Impact Damper ◽  
Ball Size ◽  
Wide Range ◽  
The Impact ◽  
Impact Damping

Impact dampers are efficient in many industrial applications with a wide range of frequencies. An experimental analysis of the impact damping of spherical balls is investigated to simplify the particle impact damping design and improve the vibration suppression. The objective of the study is to analyze some of the design parameters of impact damper using spherical balls. The experimental investigation consists to test the effect of the ball size for each mass level, the number of balls for each size level and different exciting force levels on vibrations of the main structure. The parametric study provided useful information to understand and optimize Particle Impact Damping design.

Cross term constructed Lyapunov function based two-time scale controller design and vibration suppression for a rotating hub-beam system

2019 ◽  
Vol 42 (3) ◽  
pp. 551-564
Author(s):  
Ghasem Khajepour ◽  
Ramin Vatankhah ◽  
Mohammad Eghtesad ◽  
Mohsen Vakilzadeh
Keyword(s):  
Lyapunov Function ◽  
Vibration Suppression ◽  
Controller Design ◽  
Equations Of Motion ◽  
Angular Position ◽  
Pole Placement ◽  
Cross Term ◽  
Modeling And Control ◽  
Beam System ◽  
Flexible Arm

In this article, modeling and control of a rotating hub-beam system are studied. The system consists of a solid rotating cylinder and an attached flexible arm with a payload at the end. The rotation is supposed to be in the presence of gravity and the flexible arm is assumed to be a Euler-Bernoulli beam. To derive the equations of motion of the system, Lagrange’s method is applied. Moreover, Galerkin’s technique is employed to discretize the equations of motion. Furthermore, designing an appropriate two-time (slow and fast) scale controller in the presence of uncertainties is considered in order to track the desired hub angular position and suppress vibrations of the arm simultaneously. For the so-called slow subsystem, a novel controller design is proposed as two different cases, with and without the presence of uncertainties in system dynamics are considered; and accordingly, a control law for tracking the desired path is introduced based on the idea of using the cross-term constructed Lyapunov function. For the fast subsystem, a pole placement technique is used to suppress vibration of the beam. The simulation results indicate notable effectiveness of the proposed controller.

Variable fractional order sliding mode control for seismic vibration suppression of building structure

2021 ◽  
pp. 107754632110396
Author(s):  
Chunxiu Wang ◽  
Xingde Zhou ◽  
Yitong Jin ◽  
Xianzeng Shi
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Vibration Suppression ◽  
Control Method ◽  
Sliding Mode ◽  
Building Structure ◽  
Seismic Excitations ◽  
Mode Control ◽  
Fractional Order Controller ◽  
Control Output

Constant fractional order vibration control strategy has been one of research hotspots in recent decades. However, the variable fractional order control method is seldom concerned up to now. In this article, a novel variable fractional order sliding mode control (VOSMC) method is proposed to suppress the responses of building structure caused by seismic excitations, including El Centro, Hachinohe, Northridge, and Kobe earthquakes. Based on the proposed variable fractional order sliding mode surface, the control law of VOSMC is presented. The global asymptotic stability of the control system is analyzed and proved by utilizing variable fractional order Lyapunov stability theorem. Besides, the corresponding constant fractional order sliding mode control (COSMC) method is also given. The control effects of VOSMC and COSMC methods are discussed by four performance indices. Finally, the utilizability and reasonability of the proposed control method is verified by using two examples (include two-story and five-story shear buildings). Compared with the COSMC method, the proposed variable fractional order controller not only has a lesser control output, but also has a higher utilization of the output, which is conducive to energy saving.

scholarly journals Super-twisting sliding mode control design based on Lyapunov criteria for attitude tracking control and vibration suppression of a flexible spacecraft

2019 ◽  
Vol 52 (7-8) ◽  
pp. 814-831 ◽  
Author(s):  
Reza Nadafi ◽  
Mansour Kabganian ◽  
Ali Kamali ◽  
Mahboobeh Hossein Nejad
Keyword(s):  
Sliding Mode Control ◽  
Vibration Suppression ◽  
Sliding Mode ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Flexible Spacecraft ◽  
Sliding Surfaces ◽  
Mode Control ◽  
Attitude Tracking ◽  
Attitude Tracking Control

The three-axis attitude tracking manoeuvre and vibration suppression of a flexible spacecraft in the presence of external disturbances are investigated in this paper. The spacecraft consists of a rigid hub and two flexible appendages. The Euler–Bernoulli beam theory is used to model the flexible parts. The attitude dynamic equations of motion are derived using the law of conservation of angular momentum, and the flexural equations are derived. The attitude of the spacecraft is represented using the quaternion parameters. The controller is designed based on the super-twisting sliding mode control. The sliding surfaces are introduced and the global asymptotic stability of the flexible spacecraft on the sliding surfaces is assured via Lyapunov method. The control law is designed such that the sliding condition is satisfied and the system reaches the sliding surfaces in finite time. The simulation results verify the performance of the controller in the presence of bounded disturbances, sensor noises and abrupt changes in parameters.

Vibration Suppression for a Flexible Link Robot Using Acceleration and/or Angular Rate Measurements and a Flatness Based Trajectory Control

2011 ◽  
Author(s):  
Peter Staufer ◽  
Hubert Gattringer ◽  
Hartmut Bremer
Keyword(s):  
Vibration Suppression ◽  
Angular Rate ◽  
Equations Of Motion ◽  
Element Model ◽  
Industrial Applications ◽  
Trajectory Control ◽  
Strain Gauges ◽  
Present Contribution ◽  
Acceleration Sensors ◽  
Lumped Element Model

This paper focuses on trajectory control of an articulated robot with two flexible links and three joints, for a base, a shoulder and an elbow. The aim of the present contribution is to use angular rate and acceleration sensors for vibration damping instead of strain gauges measurements. Applying strain gauges for the measurements of curvatures on industrial applications is often technically difficult and expensive. Operating with model based control approaches, the equations of motion are the essential prerequisites and therefore various mathematical models and assumptions are introduced. The first model is developed assuming Euler-Bernoulli-Beams and the Ritz approach. Under the condition of small elastic deformations a second model is computed, approximating the beam elasticity with linear springs and dampers. This so called lumped element model is modified in a further step, in order to apply common flatness based approaches. With these preparations a flatness based control, consisting of a feedforward and a feedback part, is shown. The latter one uses angular rate or acceleration measurements. The proposed control strategies are finally validated by several experiments.

scholarly journals Fractional-Order Control of Grid-Connected Photovoltaic System Based on Synergetic and Sliding Mode Controllers

Energies ◽  
2021 ◽  
Vol 14 (2) ◽  
pp. 510
Author(s):  
Marcel Nicola ◽  
Claudiu-Ionel Nicola
Keyword(s):  
Control System ◽  
Fractional Order ◽  
Sliding Mode ◽  
Dynamic Performance ◽  
Photovoltaic System ◽  
Superior Performance ◽  
Pv System ◽  
Matlab Simulink ◽  
Intermediate Circuit ◽  
The Mathematical Model

Starting with the problem of connecting the photovoltaic (PV) system to the main grid, this article presents the control of a grid-connected PV system using fractional-order (FO) sliding mode control (SMC) and FO-synergetic controllers. The article presents the mathematical model of a PV system connected to the main grid together with the chain of intermediate elements and their control systems. To obtain a control system with superior performance, the robustness and superior performance of an SMC-type controller for the control of the udc voltage in the DC intermediate circuit are combined with the advantages provided by the flexibility of using synergetic control for the control of currents id and iq. In addition, these control techniques are suitable for the control of nonlinear systems, and it is not necessary to linearize the controlled system around a static operating point; thus, the control system achieved is robust to parametric variations and provides the required static and dynamic performance. Further, by approaching the synthesis of these controllers using the fractional calculus for integration operators and differentiation operators, this article proposes a control system based on an FO-SMC controller combined with FO-synergetic controllers. The validation of the synthesis of the proposed control system is achieved through numerical simulations performed in Matlab/Simulink and by comparing it with a benchmark for the control of a grid-connected PV system implemented in Matlab/Simulink. Superior results of the proposed control system are obtained compared to other types of control algorithms.

Linear Matrix Inequality Based Fractional Integral Sliding-Mode Control of Uncertain Fractional-Order Nonlinear Systems

2017 ◽  
Vol 139 (11) ◽  
Author(s):  
Sara Dadras ◽  
Soodeh Dadras ◽  
HamidReza Momeni
Keyword(s):  
Nonlinear Systems ◽  
Linear Matrix Inequality ◽  
Fractional Order ◽  
Sliding Mode ◽  
Superior Performance ◽  
Linear Matrix ◽  
Sliding Mode Controller ◽  
Matrix Inequality ◽  
Sliding Surface ◽  
Switching Law

A design of linear matrix inequality (LMI)-based fractional-order surface for sliding-mode controller of a class of uncertain fractional-order nonlinear systems (FO-NSs) is proposed in this paper. A new switching law is achieved guaranteeing the reachability condition. This control law is established to obtain a sliding-mode controller (SMC) capable of deriving the state trajectories onto the fractional-order integral switching surface and maintain the sliding motion. Using LMIs, a sufficient condition for existence of the sliding surface is derived which ensures the t−α asymptotical stability on the sliding surface. Through a numerical example, the superior performance of the new fractional-order sliding mode controller is illustrated in comparison with a previously proposed method.

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