Output feedback control of piezoelectrically actuated non-classical micro-beams using T-S fuzzy model

Vatankhah, Ramin; Asemani, Mohammad Hassan

doi:10.1016/j.jfranklin.2016.11.005

Cited by 26 publications

(27 citation statements)

References 42 publications

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“…A p is the cross-section area of the actuator. The electrical energy E p (t) of the piezoelectric actuator layer can be given as [14],…”

Section: A Dynamics Analysismentioning

confidence: 99%

“…where d s = 6.29 and = [ 1 , 2 ] T . The parameters of the state feedback control law are calculated as follows from the LMI given by [14],…”

Section: B Nonsingular Fast Terminal Sliding Mode Control Law Based mentioning

confidence: 99%

“…Due to lightweight, low-cost, and easy-to-implement, as well as offering sensing and actuation capabilities, piezoelectric (PZT) actuators [11]- [13] are widely used in practical applications and should also be taken into account for the practical model process. In [14]- [16] based on the Hamiltonian principle, the PDEs mathematical model of the micro-scale beam is designed, with the mid-plane stretching and the PZT actuators are both considered. The Galerkin projection method is used to reduce the PDEs to ordinary differential equations (ODEs) form which effectively simplifies the mathematical model.…”

Section: Introductionmentioning

confidence: 99%

“…The displacement of the beam at actuator position The displacement of the beam at actuator position control based on the T-S fuzzy model with input saturation[14] is used to demonstrate the advantage of the proposed control laws. The state feedback control law is given as,…”

mentioning

confidence: 99%

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Barrier Function-Based Adaptive Neuro Network Sliding Mode Vibration Control for Flexible Double-Clamped Beams With Input Saturation

Nguang

et al. 2020

IEEE Access

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In this paper, a novel adaptive neuro network nonsingular fast terminal sliding mode control based on barrier Lyapunov functions is proposed for flexible double-clamped beam systems with input saturation and distributed disturbance. First, the Galerkin projection method is employed to reduce the partial differential dynamic equations of the beam into ordinary differential equations. Second, a novel barrier Lyapunov function is employed to design a nonsingular fast terminal sliding mode controller that ensures the closed-loop system is stable with state constraints. In addition, an auxiliary system is proposed to guarantee the stability of the beam system subject to input saturation. Third, an adaptive neural network is used to deal with the possible unknown part of the model parameters. It is proved that the proposed control law can handle input saturation and state constraints simultaneously without knowing the model exactly. Finally, numerical simulations illustrate the effectiveness of the proposed control laws. INDEX TERMS vibration control, barrier Lyapunov function, nonsingular fast terminal sliding mode control, adaptive neuro-network control

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“…A p is the cross-section area of the actuator. The electrical energy E p (t) of the piezoelectric actuator layer can be given as [14],…”

Section: A Dynamics Analysismentioning

confidence: 99%

“…where d s = 6.29 and = [ 1 , 2 ] T . The parameters of the state feedback control law are calculated as follows from the LMI given by [14],…”

Section: B Nonsingular Fast Terminal Sliding Mode Control Law Based mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Barrier Function-Based Adaptive Neuro Network Sliding Mode Vibration Control for Flexible Double-Clamped Beams With Input Saturation

Nguang

et al. 2020

IEEE Access

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show abstract

“…e proposed design strategy is shown in Figure 1. In order to implement the proposed control method, vibration control of systems [28][29][30][31] associated with the piezoelectric actuator and sensor is considered. Especially, to clearly represent the external disturbance, vibration control of a flexible smart structure system shown in Figure 2 is adopted in the work [32].…”

Section: Integrated Fault Detection Andmentioning

confidence: 99%

A New Scheduling Quantitative Feedback Theory-Based Controller Integrated with Fault Detection for Effective Vibration Control

Jeyasenthil

Lee

Choi

2019

Shock and Vibration

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In this work, a new integrated fault detection and control (IFDC) method is presented for single-input/single-output systems (SISOs). The idea is centered on comparing the closed-loop output between the faulty system and fault-free one to schedule/switch the feedback control once the fault occurs. The problem addressed in this work is the output disturbance rejection. The set of feedback controllers are designed using quantitative feedback theory (QFT) for fault-free and faulty systems. In the context of QFT-based IFDC, the proposed active approach is novel, simple, and easy to implement from an engineering point of view. The efficiency of the proposed method is assessed on a flexible smart structure system featuring a piezoelectric actuator. The actuator and sensor faults considered are the multiplicative type with both fixed and time-varying magnitudes. In the fixed magnitude fault case, the actuator/sensor output delivering capability is reduced by 50% (multiplying a factor of 0.5 to its actual output), while in the time-varying magnitude case, it becomes 60% to 50% for a particular time interval. In both cases, the proposed control method identifies the fault and activates the required controller to satisfy the specification with less control effort as opposed to the passive QFT design featured by faulty system design alone.

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Exponential stabilization of a microbeam system with a boundary or distributed time delay

Feng

Chentouf

2021

Math Methods in App Sciences

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This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups theory of linear operators. More importantly, using the energy method, the exponential stability is established as long as the parameter of the delay term is small.

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Output feedback control of piezoelectrically actuated non-classical micro-beams using T-S fuzzy model

Cited by 26 publications

References 42 publications

Barrier Function-Based Adaptive Neuro Network Sliding Mode Vibration Control for Flexible Double-Clamped Beams With Input Saturation

Barrier Function-Based Adaptive Neuro Network Sliding Mode Vibration Control for Flexible Double-Clamped Beams With Input Saturation

A New Scheduling Quantitative Feedback Theory-Based Controller Integrated with Fault Detection for Effective Vibration Control

Exponential stabilization of a microbeam system with a boundary or distributed time delay

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