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A scaled Polak-Ribière-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 2, p4843-4861, 19p
- Publication Year :
- 2023
-
Abstract
- This paper proposes Polak-Ribière-Polyak (PRP) conjugate gradient (CG) directions based on two efficient scaling strategies. The first scaling parameter is determined by approaching the quasi- Newton direction, and the second by utilizing the well-known Barzilai-Borwein approach. In addition, we proposed two directions that satisfy the sufficient descent criterion regardless of the line search strategy. The proposed directions lead to a matrix-free algorithm for solving monotone-constrained nonlinear systems. The proposed algorithm's global convergence analysis is presented using some underlying assumptions. Furthermore, a detailed numerical comparison with other existing algorithms revealed that the proposed algorithm is both efficient and effective. Finally, the proposed technique is applied to the motion control problem of a two-joint planar robotic manipulator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 161538010
- Full Text :
- https://doi.org/10.3934/math.2023241