Prandtl–Ishlinskii model based event-triggered prescribed control: Design and application to piezoelectric-driven micropositioning stage

Zhang, Chen; Zhou, Miaolei; Nie, Linlin; Zhang, Xiuyu; Su, Chun‐Yi

doi:10.1016/j.ymssp.2023.110562

Cited by 15 publications

(3 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the non-differentiability of hysteresis nonlinearity, the system performance is sometimes greatly aggravated and often shows undesired errors or vibrations, even leading to system instability [17,30]. In recent years, many results have been published for a series of hysteresis forms, for example, the Prandtl-Ishlinskii hysteresis model [31,32], Preisach model [33], Duhem hysteresis operator [34], backlash-like hysteresis (BLH) [35,36], and so on. Among them, the BLH model was widely used because it better represents the hysteresis nonlinearity and facilitates the control design.…”

Section: Related Workmentioning

confidence: 99%

Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

Wan,

2024

Mathematics

View full text Add to dashboard Cite

The adaptive fuzzy backstepping control problem is studied for Itô-type nonlinear switched systems subject to unknown hysteresis input. Compared with existing works, the unknown hysteresis and stochastic disturbances are considered in the pure-feedback switched systems. The mean value theorem tackles the non-affine functions. The backstepping technique introduces an auxiliary virtual controller. In addition, the Nussbaum function is employed to solve the difficulty caused by the unknown hysteresis under arbitrary switching. Based on a fuzzy logic system and backstepping technique, a new adaptive control proposal is obtained, which ensures that the system states satisfy semiglobally uniformly ultimately bounded (SGUUB) in probability and that the tracking error converges to a region of the origin. Finally, we provide two examples to show the validity of the presented scheme.

show abstract

Section: Related Workmentioning

confidence: 99%

Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

Wan,

2024

Mathematics

View full text Add to dashboard Cite

show abstract

“…Hysteresis exists widely in smart material-actuated systems, such as shape memory alloy actuators [1], piezoelectric actuators [2], and magnetorheological dampers [3]. As an undesirable nonlinearity in general, hysteresis negatively impacts the performance of these systems.…”

Section: Introductionmentioning

confidence: 99%

High-Precision Position Tracking Control with a Hysteresis Observer Based on the Bouc–Wen Model for Smart Material-Actuated Systems

Zhao,

Li,

Cao

et al. 2024

Actuators

View full text Add to dashboard Cite

The Bouc–Wen model has been widely adopted to describe hysteresis nonlinearity in many smart material-actuated systems, such as piezoelectric actuators, shape memory alloy actuators, and magnetorheological dampers. For effective control design, it is of interest to estimate the hysteresis state that is not measurable. In this paper, the design of a state observer for the Bouc–Wen model is presented. It is shown that, with sufficiently high observer gains, the state estimate error, including that for the hysteresis state, converges to zero exponentially fast. The utility of the proposed hysteresis observer is illustrated in the design of a high precision output-feedback position tracking controller, and the resulting tracking error is shown to decay exponentially via Lyapunov analysis. Simulation and experimental results show that the proposed hysteresis observer and the high precision position tracking controller outperform a traditional extended state observer and the corresponding tracking controller, respectively.

show abstract

“…Inversion-based control approach is one of possible solutions to deal with the hysteresis problem, in which the controlled subject can be modeled as two submodels, for instance a linear dynamics submodel and a hysteresis submodel. For the hysteresis submodel, several well-built mathematical models, such as Preisach model [3], Prandtl-Ishlinskii (PI) model [4,5], Bouc-Wen model [6], Duham model [7], and their modified ones [8][9][10][11], can be used to characterize the hysteresis effect. After that, the calculated inverse models are utilized to compensate for the hysteresis nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis inversion-free predictive compensation control for soft pneumatic actuators based on a global Koopman modeling strategy

Peng,

Chen,

Guan

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

Soft pneumatic actuators (SPAs) have increasing applications in soft robotic design owing to their good compliance, excellent adaptability, and high force density characteristics. However, the inherent hysteresis nonlinearity severely degrades the control performance of SPAs. To compensate for the hysteresis effect, one solution is to build an inverse mathematical model. Nevertheless, in this method, the control performance still highly depends on the accuracy of the built inverse model. At the same time, the computational burden of deriving the inverse model is overwhelming. In addition, the physical constraints of the input pressure of SPAs are hardly handled by the inversion-based method. This paper proposes an inversion-free model predictive controller (IFMPC), which is designed based on a global Koopman linear model (GKLM). In the above GKLM-IFMPC strategy, the inverse hysteresis model is not required. Instead, a global hysteresis model can be established without considering the effect of rate-dependent property. Additionally, the control law is derived in an explicit form. With the constrained quadratic programming technique, the proposed method still works well when dealing with the physical constraints of SPAs. To verify the effectiveness of the proposed method, several comparative experiments are performed on a two-dimensional (2D) SPA. The results show that the proposed hysteresis global modeling and control framework has satisfactory tracking performance over some existing strategies even with strong hysteresis nonlinearity.

show abstract

Prandtl–Ishlinskii model based event-triggered prescribed control: Design and application to piezoelectric-driven micropositioning stage

Cited by 15 publications

References 41 publications

Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

High-Precision Position Tracking Control with a Hysteresis Observer Based on the Bouc–Wen Model for Smart Material-Actuated Systems

Hysteresis inversion-free predictive compensation control for soft pneumatic actuators based on a global Koopman modeling strategy

Contact Info

Product

Resources

About