Finite Frequency Vibration Suppression for Space Flexible Structures in Tip Position Control

Xu, Shidong; Sun, Guanghui; Zhan, Li

doi:10.1007/s12555-016-0343-9

Cited by 10 publications

(3 citation statements)

References 19 publications

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“…In recent years, the use of flexible structures has been increasing in many applications, especially due to their lightweight and lower cost. Especially in the field of aerospace and robotics, many elements are modeled as flexible since structures are desired to be light and quickly movable [1]. Controlling flexible structures is more complicated than rigid systems.…”

Section: Introductionmentioning

confidence: 99%

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

GÜMÜŞ

Çakan

Kalyoncu

2023

Academic Platform Journal of Engineering and Smart Systems

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In this study, a flexible robot arm model and the design of its controller are introduced. The robot arm consists of a single flexible link. It is desired to control the circular position of the robot arm and the vibration of the tip point. Cascade proportional derivative controller was used to control the position and reduce the tip vibration. Controller gains were found using the bees algorithm. The weighted function of system responses such as settling time, maximum overshoot, steady-state error is used as a performance criterion while searching for the best parameters. In addition, controller gains were obtained with the genetic algorithm to evaluate the working performance of the bees algorithm. It has been observed that the Cascade PD controller, whose gains are optimized by the bees algorithm, successfully controls the flexible robot arm system and reduces the vibration of the tip point.

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Section: Introductionmentioning

confidence: 99%

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

GÜMÜŞ

Çakan

Kalyoncu

2023

Academic Platform Journal of Engineering and Smart Systems

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“…Concerning control algorithms for oscillation suppression of smart beams and structures, most of the published papers employed conventional linear control methods, e.g. negative velocity feedback control (Sun & Huang, 2001), traditional PID (Kumar et al, 2014;Zhang et al, 2015), fractional-order PID (Xu et al, 2018), LQR and LQG optimal control (Bruant et al, 2001;Zhang et al, 2010), H ∞ robust control (Sahin & Aridogan, 2011), or nonlinear control methods such as sliding mode control (Itik et al, 2005) and fuzzy controller (Moradi et al, 2014), or MIMO algorithm (Zhu et al, 2012). Most of these papers merely contemplated the free vibration case which has no steady-state error.…”

Section: Introductionmentioning

confidence: 99%

Vibration control of a piezoelectric cantilever smart beam by ℒ₁ adaptive control system

Ebrahimi-Tirtashi

Mohajerin

Zakerzadeh

et al. 2021

Systems Science & Control Engineering

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In this paper, the modelling and design of an L 1 state feedback control system applied for vibration control of a smart piezoelectric flexible Euler-Bernoulli cantilever beam is presented. For a Single-Input Single-Output (SISO) case by retaining the first two dominant vibratory modes, the dynamics of the system is presented. Classical L 1 adaptive control law, with time-varying parameters and in presence of disturbance, is employed to suppress the vibration of the beam. Three Piezoelectric patches, two as actuators and the other as a sensor, are bonded to the structure at the support of the beam and along the length of the beam. The beam structure is modelled in the state space form using the concept of piezoelectric theory, the Euler-Bernoulli beam theory and the Finite Element technique. Also, for comparing the performance of the proposed controller, PID and LQR control systems are applied. Simulation results, first for constant parameters and then for time-varying parameters and disturbance, represent the better performance of the proposed control system in comparison to the other mentioned controllers.

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“…The linear transformation permits us to transform any time function into a complex function whose variable is s ¼ iω þ σ, where i is the complex operator, ω is the angular frequency, and σ is a real value. The complex function can represent in the complex s-plane, where their axes represent the real and imaginary parts of the complex variable s. This complex plane does feasible the study of dynamic systems, and some applications are the tuning closed-loop, stability, mathematical methods, fault detection, optimization, and filter design [21][22][23]. In addition, the s-plane permits graphical methods such as pole-zero map, Bode diagrams, root locus, polar plots, gain margin and phase margin, Nichols charts, and N circles [24].…”

Section: Introductionmentioning

confidence: 99%

Interference Pattern Representation on the Complex s-Plane

Bonilla¹,

Bonilla²,

García-Ramírez³

et al. 2020

Advances in Complex Analysis and Applications

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In this work, the normalized interference pattern produced by a coherence interferometer system was represented as a complex function. The Laplace transform was applied for the transformation. Poles and zeros were determined from this complex function, and then, its pole-zero map and its Bode diagram were proposed. Both graphical representations were implemented numerically. From our numerical results, pole location and zero location depend on the optical path difference (OPD), while the Bode diagram gives us information about the OPD parameter. Based on the results obtained from the graphical representations, the coherence interferometer systems, the low-coherence interferometer systems, the interferometric sensing systems, and the fiber optic sensors can be analyze on the complex s-plane.

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Finite Frequency Vibration Suppression for Space Flexible Structures in Tip Position Control

Cited by 10 publications

References 19 publications

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

Vibration control of a piezoelectric cantilever smart beam by ℒ₁ adaptive control system

Interference Pattern Representation on the Complex s-Plane

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Finite Frequency Vibration Suppression for Space Flexible Structures in Tip Position Control

Cited by 10 publications

References 19 publications

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

Cascade Proportional Derivative Controller For A Flexible Link Robot Manipulator Using The Bees Algorithm

Vibration control of a piezoelectric cantilever smart beam by ℒ1 adaptive control system

Interference Pattern Representation on the Complex s-Plane

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Product

Resources

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Vibration control of a piezoelectric cantilever smart beam by ℒ₁ adaptive control system