Improving Delay-Margin of Noncollocated Vibration Control of Piezo-Actuated Flexible Beams via a Fractional-Order Controller

Sangpet, Teerawat; Kuntanapreeda, Suwat; Schmidt, Rüdiger

doi:10.1155/2014/809173

Cited by 6 publications

(4 citation statements)

References 12 publications

(11 reference statements)

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“…When a semi-active damping device is properly joined to a suitable control scheme, the resultant will be a high-performance system. This system is capable of being efficiently utilized in a wide range of vibration applications including structural vibration control and mechanical vibration suppression problems (Amini et al, 2015; Bai et al, 2017; Caterino, 2015; Etedali and Tavakoli, 2016; Gad et al, 2015; Muresan et al, 2016; Sangpet et al, 2014; Yang and Cai, 2016; Zamani et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

“…For vibration control, both FOPID and fuzzy PID have been successfully applied to several applications (Gad et al, 2015; Muresan et al, 2016; Sangpet et al, 2014; Zamani et al, 2017). Although a number of research activities on application of FOFPIDs on various case studies demonstrate its dominance over PID, FOPID, and fuzzy PID, there is still no examination of this method on vibration control.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers

Zamani

Tavakoli

Etedali

et al. 2017

Journal of Intelligent Material Systems and Structures

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The current semi-active or even active control strategies have been developed to address a few drawbacks, such as unwanted large displacements created at the base level and system deficiency in adaptation to different types of seismic excitations, in the base isolation systems. In this article, two control strategies, multi-objective modified clipped optimal and adaptive fractional order fuzzy proportional–integral–derivative, are proposed for semi-active control of a smart base-isolated structure equipped with a magnetorheological damper. The main objective is to reduce the displacement of isolation system without allowing significant increase in the acceleration of superstructure for both far-field and near-field earthquake excitations. Using proper fitness functions, the weighting matrices of the multi-objective modified clipped optimal controller are tuned using multi-objective optimization. Then, the parameters of the fractional order fuzzy proportional–integral–derivative controller are obtained. Next, the fuzzy rule weights of the fractional order fuzzy proportional–integral–derivative controller are updated online based on the values of ground motion and structural responses using an adaptive strategy. For comparison, two control cases in which the magnetorheological damper is in passive mode, passive-off and passive-on, are considered. Numerical simulations show that the proposed adaptive fractional order fuzzy proportional–integral–derivative controller better mitigates the seismic responses of a base-isolated structure excited by a range of real-data earthquakes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers

Zamani

Tavakoli

Etedali

et al. 2017

Journal of Intelligent Material Systems and Structures

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show abstract

“…where is considered as a controller parameter. By taking the time derivative of (13) and substituting (1), (2), (6), and (12) into the derivative result, it yieldṡ…”

Section: Controller Designmentioning

confidence: 99%

“…The back-propagation algorithm was utilized for adapting the controller parameters. In [12], Sangpet et al utilized a fractional-order control approach to improve the delay margin in the control system of a piezoactuated flexible beam. The controller parameters were tuned experimentally.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Vibration Control of Piezoactuated Euler-Bernoulli Beams Using Infinite-Dimensional Lyapunov Method and High-Order Sliding-Mode Differentiation

Sangpet

Kuntanapreeda

Schmidt

2014

Journal of Engineering

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This paper presents an adaptive control scheme to suppress vibration of flexible beams using a collocated piezoelectric actuator-sensor configuration. A governing equation of the beams is modelled by a partial differential equation based on Euler-Bernoulli theory. Thus, the beams are infinite-dimensional systems. Whereas conventional control design techniques for infinite-dimensional systems make use of approximated finite-dimensional models, the present adaptive control law is derived based on the infinite-dimensional Lyapunov method, without using any approximated finite-dimension model. Thus, the stability of the control system is guaranteed for all vibration modes. The implementation of the control law requires a derivative of the sensor output for feedback. A high-order sliding mode differentiation technique is used to estimate the derivative. The technique features robust exact differentiation with finite-time convergence. Numerical simulation and experimental results illustrate the effectiveness of the controller.

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Research on Transient Impact Response Control of Reinforced Wall Panels Based on Fractional Order PID

Zhang,

Li,

Niu

2023

Lecture Notes in Mechanical Engineering

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Improving Delay-Margin of Noncollocated Vibration Control of Piezo-Actuated Flexible Beams via a Fractional-Order Controller

Cited by 6 publications

References 12 publications

Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers

Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers

Adaptive Vibration Control of Piezoactuated Euler-Bernoulli Beams Using Infinite-Dimensional Lyapunov Method and High-Order Sliding-Mode Differentiation

Research on Transient Impact Response Control of Reinforced Wall Panels Based on Fractional Order PID

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