Fuzzy Optimal Control Problem of Several Variables

Mustafa, Altyeb Mohammed; Gong, Zengtai; Osman, M. T. Abu

doi:10.1155/2019/2182640

Cited by 7 publications

(2 citation statements)

References 22 publications

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“…The paper utilizes the widely accepted weighted average method for defuzzification, which has been previously outlined in studies [33][34][35]. Equation (31) presents the calculation formula for this method.…”

Section: F S Is a Andmentioning

confidence: 99%

Research on the New Hydrostatic Transmission System of Wheel Loaders Based on Fuzzy Sliding Mode Control

Wang,

Xie

et al. 2024

Energies

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To improve the control performance and energy efficiency of the hydrostatic transmission (HST) system of wheel loaders, this study proposes a novel variable structure dual-motor hydrostatic transmission system, accompanied by a multivariable control strategy based on fuzzy sliding mode control. By constructing a simulation model of the transmission system, the performance of the novel transmission system is verified, and the control effects of common control strategies are compared. The simulation results show that the proposed control strategy and system have good matching and can adapt to disturbances actively. Field experiment results show that the proposed solution can achieve smooth automatic shifting of wheel loaders, while effectively adjusting system pressure, flow, and power. Compared with the traditional hydrodynamic torque converter loader transmission system, its transmission efficiency is effectively increased by 30%, and the efficiency is increased by 8% compared with the traditional hydrostatic transmission system This achievement is of great significance for improving the working efficiency of wheel loaders and reducing energy consumption. The future research focus is to further improve the multivariable control strategy, achieve intelligent operation, and improve the efficiency and reliability of the transmission system.

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Section: F S Is a Andmentioning

confidence: 99%

Research on the New Hydrostatic Transmission System of Wheel Loaders Based on Fuzzy Sliding Mode Control

Wang,

Xie

et al. 2024

Energies

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“…In particular, Zadeh's operators have been widely applied and developed [1][2][3]. Recently, the application expands to fuzzy control theory [4,5] and fuzzy logic [6][7][8]. e theories of triangular fuzzy numbers have been extended to generalized triangular fuzzy sets that do not have the maximum value of 1.…”

Section: Introductionmentioning

confidence: 99%

Three‐Dimensional Expansion and Graphical Concept of Generalized Triangular Fuzzy Set

Yun

2022

Journal of Mathematics

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We have studied the extended algebraic operations between two fuzzy numbers and calculated Zadeh’s max-min composition operator for two generalized triangular fuzzy sets in ℝ 2 . And we generalized the triangular fuzzy numbers from ℝ 2 to ℝ 3 . We prove that the result of the three-dimensional case is an extension of two-dimensional case and presented it in a graph. The extension is proved by showing that the result obtained by restricting the three-dimensional result to two-dimensional result is consistent with the existing two-dimensional result.

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Fuzzy optimal control of nonlinear systems by fuzzy generalized cell mapping method with Bellman’s principle

Pan

Yan

Hong

2022

Int. J. Dynam. Control

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A novel method is proposed in this paper to obtain global solutions of fuzzy optimal control with fixed state terminal conditions and control bounds. The global solution implies that the optimal control solutions are valid for all the initial conditions in a region of the state space. The method makes use of Bellman’s principle of optimality and fuzzy generalized cell mapping method (FGCM). A discrete form of fuzzy master equation with a control dependent transition membership matrix is generated by using the FGCM. This allows to evaluate both the transient and the steady-state responses of the controlled system. The method, simply called FGCM with BP, is applied to three nonlinear systems leading to excellent control performances.

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Fuzzy Optimal Control Problem of Several Variables

Cited by 7 publications

References 22 publications

Research on the New Hydrostatic Transmission System of Wheel Loaders Based on Fuzzy Sliding Mode Control

Research on the New Hydrostatic Transmission System of Wheel Loaders Based on Fuzzy Sliding Mode Control

Three‐Dimensional Expansion and Graphical Concept of Generalized Triangular Fuzzy Set

Fuzzy optimal control of nonlinear systems by fuzzy generalized cell mapping method with Bellman’s principle

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