Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity

Liu, Diantong; Guo, Wenzhong; Wang, Wei

doi:10.1007/s12206-012-1209-6

Cited by 10 publications

(5 citation statements)

References 20 publications

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“…As mentioned above, the hysteresis effect makes the system complex in order to track the precise position. The proposed controller has satisfactory results compared to the typical PID [44], inverse system control [45] method and robust control [46] as well as sliding mode control [47]. A further experimental approach for the proposed controller can be adopted using any of the aforementioned models to verify this robust NOILC technique.…”

Section: Practical Application Of Noilc Scheme For Piezo Motor Position Trackingmentioning

confidence: 90%

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Design and Implementation of an Accelerated Error Convergence Criterion for Norm Optimal Iterative Learning Controller

2020

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Designing an optimal iterative learning control is a huge challenge for linear and nonlinear dynamic systems. For such complex systems, standard Norm optimal iterative learning control (NOILC) is an important consideration. This paper presents a novel NOILC error convergence technique for a discrete-time method. The primary effort of the controller is to converge the error efficiently and quickly in an optimally successful way. A new iterative learning algorithm based on feedback based on reliability against input disruption was proposed in this paper. The illustration of the simulations authenticates the process suggested. The numerical example simulated on MATLAB@2019 and the mollified results affirm the validation of the designed algorithm.

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Section: Practical Application Of Noilc Scheme For Piezo Motor Position Trackingmentioning

confidence: 90%

“…Electronics 2020, 9, x FOR PEER REVIEW 9 of 15 system control [45] method and robust control [46] as well as sliding mode control [47]. A further experimental approach for the proposed controller can be adopted using any of the aforementioned models to verify this robust NOILC technique.…”

Section: Higher Order Linear Discrete Time Plant Simulation Examplementioning

confidence: 99%

Design and Implementation of an Accelerated Error Convergence Criterion for Norm Optimal Iterative Learning Controller

2020

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“…To reduce the steady error, an integral term of tracking error is introduced, which makes up the integral sliding surface [22,23] as follows:…”

Section: Sliding Mode Reachabilitymentioning

confidence: 99%

Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty

Jouini¹,

Dhahri²,

Sellami³

2017

Complexity

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This paper proposes a robust supertwisting algorithm (STA) design for nonlinear systems where both matched and unmatched uncertainties are considered. The main contributions reside primarily to conceive a novel structure of STA, in order to ensure the desired performance of the uncertain nonlinear system. The modified algorithm is formed of double closed-loop feedback, in which two linear terms are added to the classical STA. In addition, an integral sliding mode switching surface is proposed to construct the attractiveness and reachability of sliding mode. Sufficient conditions are derived to guarantee the exact differentiation stability in finite time based on Lyapunov function theory. Finally, a comparative study for a variable-length pendulum system illustrates the robustness and the effectiveness of the proposed approach compared to other STA schemes.

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“…Many control methods have been used to implement motion control of the precision piezoelectric mechanical systems, such as PID control [12], robust control [13], inverse system methods [14] and sliding mode control [15]. A difficulty in achieving precise motion tracking control using PID method lies in the low gain margin of the piezoelectric mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

High-accuracy tracking of piezoelectric positioning stage by using iterative learning controller plus PI control

Yan

Fang

Meng

2019

J Braz. Soc. Mech. Sci. Eng.

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Piezoelectric positioning stages as control system actuator are widely used in equipment drive. In this paper, according to the physical mechanism of the piezoelectric positioning stage control system, an approximate time-domain mathematical model is established for the selection of piezoelectric positioning stage control system. The least-squares method is used to identify the parameters of the model. The outputs of the pulse width signal of the obtained model are consistent with that of the actual system. Then, iterative learning controller plus proportional integral control based on frequency domain tools is designed according to the form of the model, the stability of the control approach and the selection of its parameters are discussed in detail. The experimental results demonstrate the successful implementation with good performance on the piezoelectric positioning stage.

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Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity

Cited by 10 publications

References 20 publications

Design and Implementation of an Accelerated Error Convergence Criterion for Norm Optimal Iterative Learning Controller

Design and Implementation of an Accelerated Error Convergence Criterion for Norm Optimal Iterative Learning Controller

Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty

High-accuracy tracking of piezoelectric positioning stage by using iterative learning controller plus PI control

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