A Simple Current-Constrained Controller for Permanent-Magnet Synchronous Motor

Guo, Tianliang; Sun, Zhenxing; Wang, Xiangyu; Li, Shihua; Zhang, Kanjian

doi:10.1109/tii.2018.2860968

Cited by 64 publications

(44 citation statements)

References 23 publications

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“…More specifically, the information of p i 's, r i 's, and i 's is completely included in the construction of the asymmetric BLF (7), so that the characteristics/features of p i 's and i (t, x, u)'s can be extracted and embedded in the asymmetric BLF (7), providing the presence of the specific power (2 − 1 ) in each term of the asymmetric BLF (7). Further, the distinctive structure of the asymmetric BLF (7) collaborating with the revamped technique of adding a power integrator enables us to construct the stabilizer (22) without requiring the differentiability of the virtual controllers x * i (x i−1 ), thereby avoiding the obstruction caused by p i 's and i (t, x, u)'s.…”

Section: Part Ii: Analyzing the Convergence Of The State Trajectoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…During operation, any violation of the constraint may lead to performance degradation, system failure, or even unexpected hazards. For instance, the current (output) constraint is intentionally imposed on a permanent magnet synchronous motor for preserving stability and safety . Another practical example can be found in the work of Jin and Xu, where the joint angles of a manipulator are necessarily constrained to prevent injury to nearby persons or possible structural damage.…”

Section: Introductionmentioning

confidence: 99%

“…In practice, nonlinear systems are usually subjected to output constraints for reasons of performance specifications and/or safety, in addition to the stabilization task. [18][19][20][21][22][23] During operation, any violation of the constraint may lead to performance degradation, system failure, or even unexpected hazards. For instance, the current (output) constraint is intentionally imposed on a permanent magnet synchronous motor for preserving stability and safety.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, the current (output) constraint is intentionally imposed on a permanent magnet synchronous motor for preserving stability and safety. 22 Another practical example can be found in the work of Jin and Xu, 23 where the joint angles of a manipulator are necessarily constrained to prevent injury to nearby persons or possible structural damage. In the literature, most of the existing methods on the stabilization problem with an output constraint, such as set invariance notions, 24 model predictive control, 25 and reference governors, 26 are numerical in nature and/or rely heavily on computationally intensive algorithms.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A new approach to stabilization of high‐order nonlinear systems with an asymmetric output constraint

Chen

2019

Intl J Robust & Nonlinear

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Summary This paper is concerned with the problem of state feedback stabilization for a class of high‐order nonlinear systems with an asymmetric output constraint. A novel asymmetric barrier Lyapunov function (BLF) is first proposed by deliberating the characteristics of the system nonlinearities. Then, the presented BLF, together with a skillful manipulation of sign functions, is utilized to delicately revamp the technique of adding a power integrator, thereby developing a systematic approach that guides us in constructing a continuous state feedback stabilizer and preventing the violation of a pre‐specified asymmetric output constraint during operation. The novelty of this paper is attributed to the development of a unified method that is able to simultaneously tackle the problem of stabilization for high‐order nonlinear systems with and without output constraints in a constructive fashion, without changing the controller structure. An illustrative example is presented to demonstrate the superiority of the proposed approach.

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Section: Part Ii: Analyzing the Convergence Of The State Trajectoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A new approach to stabilization of high‐order nonlinear systems with an asymmetric output constraint

Chen

2019

Intl J Robust & Nonlinear

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Adaptive finite‐time tracking control for robotic manipulators with funnel boundary

Bao

Wang

Liu

2020

Adaptive Control & Signal

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SummaryThe finite‐time tracking control problem with the output‐constraint property of robotic manipulators subjected to system uncertainties is addressed. Specifically, the radial basis function neural network is employed to compensate for system uncertainties. The finite‐time stability theorem is used for the backstepping design process, by which the limit of the settling time is set. A funnel boundary is used to limit the output overshoot. The proposed controller guarantees that all the signals are semi‐globally practically finite‐time bounded, while the tracking errors are enveloped by the funnel boundary. The performance of the proposed control method is illustrated by a numerical simulation of a 3‐DOF manipulator. It is shown that the tracking errors are bounded by prescribed funnel boundaries. In the meantime, the manipulator is stabilized within a finite period of time.

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Finite‐time state‐feedback stabilization of high‐order stochastic nonlinear systems with an asymmetric output constraint

Zhao

Zhuang

Sun

2022

Adaptive Control & Signal

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This article focuses on finite-time state-feedback stabilization for high-order stochastic nonlinear systems with an asymmetric output constraint. In the presence of the systems with uncertain control coefficients, a novel asymmetric barrier Lyapunov function is constructed to manipulate the output constraint for the systems. By adding a power integrator technique and sign function, this article designs a state-feedback controller by recursive method for the high-order stochastic nonlinear systems. While guaranteeing output constraint, the finite-time state-feedback stabilization is achieved for the proposed stochastic nonlinear systems. It is shown that the control problem under consideration is solvable. Finally, the efficiency of the control strategy is illustrated by a simulation example. K E Y W O R D Sadding a power integrator technique, asymmetric output constraint, high-order stochastic nonlinear systems

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A Simple Current-Constrained Controller for Permanent-Magnet Synchronous Motor

Cited by 64 publications

References 23 publications

A new approach to stabilization of high‐order nonlinear systems with an asymmetric output constraint

A new approach to stabilization of high‐order nonlinear systems with an asymmetric output constraint

Adaptive finite‐time tracking control for robotic manipulators with funnel boundary

Finite‐time state‐feedback stabilization of high‐order stochastic nonlinear systems with an asymmetric output constraint

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