2020
DOI: 10.1109/tsmc.2018.2866843
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Robustness Analysis of a Power-Type Varying-Parameter Recurrent Neural Network for Solving Time-Varying QM and QP Problems and Applications

Abstract: Varying-parameter recurrent neural network, being a special kind of neural-dynamic methodology, has revealed powerful abilities to handle various time-varying problems, such as quadratic minimization (QM) and quadratic programming (QP) problems. In this paper, a novel power-type varying-parameter recurrent neural network (PT-VP-RNN) is proposed to solve the perturbed time-varying QM and QP problems. First, based on the generalization of time-varying QM and QP problems, the design process of the PT-VP-RNN is pr… Show more

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Cited by 89 publications
(12 citation statements)
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“…The Lagrange multiplier method is employed in the controller to obtain the optimal solution. Zhang et al [47]- [49] proposed a power-type varying-parameter control method. To be brief, the solving procedure was divided into three steps: first, ∂L(u, λ)/∂u and ∂L(u, λ)/∂λ were rewritten as a linear matrix equation formatted by WY − G = 0.…”
Section: B Controller Designmentioning
confidence: 99%
“…The Lagrange multiplier method is employed in the controller to obtain the optimal solution. Zhang et al [47]- [49] proposed a power-type varying-parameter control method. To be brief, the solving procedure was divided into three steps: first, ∂L(u, λ)/∂u and ∂L(u, λ)/∂λ were rewritten as a linear matrix equation formatted by WY − G = 0.…”
Section: B Controller Designmentioning
confidence: 99%
“…The inverse kinematic problem is one of the challenging issues for robot redundant manipulators and the traditional ways to solve it (e.g., analytical solutions or pseudoinverse-based methods) could come with joint-angular-drift problems Klein and Kee (1989). We can exploit one of the recent varying-parameter neural networks proposed in Zhang et al (2018a,b,c) to cope with the joint-angular-drift problems.…”
Section: Impact In Roboticsmentioning
confidence: 99%
“…Furthermore, Zhang et al designed an adaptive multi-layer neural dynamics-based controllers of multi-rotor unmanned aerial vehicles for the sake of adapting to various complex transportation 36 . In addition, to solve time varying quadratic programming problem and robot tracking problem, a power-type varying-parameter recurrent neural network was proposed different from VP-CDNN 37,38 . To solve non-repetitive motion problem of redundant robot manipulators, Zhang et al proposed an adaptive fuzzy recurrent neural network, which can avoid the saturation of time varying design functions 39 .…”
Section: Introductionmentioning
confidence: 99%