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        A NEW MODIFIED PROXIMAL POINT ALGORITHM FOR A FINITE FAMILY OF MINIMIZATION PROBLEM AND FIXED POINT FOR A FINITE FAMILY OF DEMICONTRACTIVE MAPPINGS IN HADAMARD SPACES

        Jinfang Tang,Jinhua Zhu 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.3

        In this paper, a new modified proximal point algorithm involving a finite family of minimization problem and fixed point for a finite family of demicontractive in Hadamard spaces is proposed. Some ∆-convergence and strong convergence theorems for the sequence generated by the algorithm are proved in Hadamard space withr suitable conditions. The results presented in the paper improve and generalize some recent results.

      • KCI등재

        Anti-Rollover Control Based on Stable Zone Partition of Counterbalanced Forklift Trucks

        Xia Guang,Xia Yan,Tang Xiwen,Zhao Linfeng,Hu Jinfang 한국자동차공학회 2021 International journal of automotive technology Vol.22 No.6

        To improve the anti-rollover capacity of a counterbalanced forklift, a two-stage rollover dynamic model is established on the basis of the forklift structure. Stable zones are divided according to the two-stage lateral load transfer rate: stable region, relatively stable region, dangerous zone and abnormal dangerous zone. An anti-rollover layered control strategy based on stable zone partition is proposed, and different anti-rollover control actuators are selected: dynamic balance weight, anti-rollover cylinder and steering cylinder. Anti-rollover controllers consist of the upper stable region identification controller, the middle-level controller based on model predictive control (MPC) and the lower layer executive controller. The upper stable region identification controller performs stable zone recognition based on the two-stage lateral load transfer rate. The middlelevel MPC controller calculates the required control torque with the body’s lateral angle and yaw rate as the control objectives. The lower layer executive controller controls the balance weight, anti-rollover cylinder and the steering cylinder according to the improved chain incremental allocation method to meet the target control torque. Simulation and real vehicle tests based on MATLAB/Simulink show that the anti-rollover control based on stable zone partition can greatly reduce the risk of forklift rollover and improve the forklift safety.

      • SCIESCOPUSKCI등재

        SYSTEM OF GENERALIZED MULTI-VALUED RESOLVENT EQUATIONS: ALGORITHMIC AND ANALYTICAL APPROACH

        Javad Balooee,Shih-sen Chang,Jinfang Tang Korean Mathematical Society 2023 대한수학회보 Vol.60 No.3

        In this paper, under some new appropriate conditions imposed on the parameter and mappings involved in the resolvent operator associated with a P-accretive mapping, its Lipschitz continuity is proved and an estimate of its Lipschitz constant is computed. This paper is also concerned with the construction of a new iterative algorithm using the resolvent operator technique and Nadler's technique for solving a new system of generalized multi-valued resolvent equations in a Banach space setting. The convergence analysis of the sequences generated by our proposed iterative algorithm under some appropriate conditions is studied. The final section deals with the investigation and analysis of the notion of H(·, ·)-co-accretive mapping which has been recently introduced and studied in the literature. We verify that under the conditions considered in the literature, every H(·, ·)-co-accretive mapping is actually P-accretive and is not a new one. In the meanwhile, some important comments on H(·, ·)-co-accretive mappings and the results related to them appeared in the literature are pointed out.

      • KCI등재

        Anti-rollover of the counterbalanced forklift truck based on model predictive control

        Guang Xia,Jiacheng Li,Xiwen Tang,Yang Zhang,Jinfang Hu 대한기계학회 2021 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.35 No.5

        To reduce the probability of a rollover accident of a forklift during high-speed steering, a hydraulic support cylinder is designed as an actuator to provide lateral support for the forklift. Aiming at the problem of judging the safety domain in the process of forklift driving, this paper proposes a strategy for dividing the forklift’s driving state on the basis of the zero moment point. The relationship between the zero moment point’s lateral component and the forklift’s support plane is used as the basis for division. The forklift rollover process is divided into a safe stage, a controllable danger stage, and a critical rollover stage. In the safe stage, the cylinder does not provide support force, and in the controllable danger stage, the cylinder support force is adjusted on the basis of the model predictive control algorithm to adjust the forklift. The cylinder can be controlled to provide maximum support for the body during the critical rollover phase. This method takes the three-degrees-of-freedom forklift anti-rollover model as the control object and serves as the basis for the calculation of the zero moment point. The anti-rollover controller is built in MATLAB/Simulink to simulate the European standard operating conditions and to verify the actual vehicle test. Results show that the predictive control of the forklift anti-rollover model based on the zero moment point can effectively improve the body attitude of the forklift during high-speed steering and prevent the forklift from rolling over.

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