Mathematical Modeling of Possibility Markov Chains by Possibility Theory

Statistical regression models are input-oriented estimation models that account for observation errors. On the other hand, an output-oriented possibility regression model that accounts for system fluctuations is proposed. Furthermore, the possibility Markov chain is proposed, which has a disidentifiable state (posterior) and a nondiscriminable state (prior). In this paper, we first take up the entity efficiency evaluation problem as a case study of the posterior non-discriminable production possibility region and mention Fuzzy DEA with fuzzy constraints. Next, the case study of the ex-ante non-discriminable event setting is discussed. Finally, we introduce the measure of the fuzzy number and the equality relation and attempt to model the possibility Markov chain mathematically. Furthermore, we show that under ergodic conditions, the direct sum state can be decomposed and reintegrated using fuzzy OR logic. We had already constructed the Possibility Markov process based on the indifferent state of this world. In this paper, we try to extend it to the indifferent event in another world. It should be noted that we can obtain the possibility transfer matrix by full use of possibility theory.

Effects of Organic Fertilizer Application Amount on Seedling Quality under No-tillage Semi-Solid State Direct Seeding

With early rice variety Zhongzao 39 as test material,this paper investigated the effects of organic fertilizer application rate on seedling quality under no-tillage semi-solid state direct seeding.The results showed that the seedling quality of no-tillage semi-solid direct seeding was better than that of traditional direct seeding,and different application rates of organic fertilizer under no-tillage semi-solid direct seeding also had signi ficant effects on seedling emergence rate,dry matter weight in ground and underground,stem base width,root activity,chlorophyll content and seedling growth index of rice seedlings.When the organic fertilizer dosage was A4(0.10∶1),it was most beneficial to the growth and development of rice seedlings under no-tillage semi-solid state direct seeding,it could effectively improve the quality of rice seedlings and enhance their resistances,the cultivated seedlings could lay a good foundation for high yield of rice in late stage.

Anti-Windup Control Strategy of Drive System for Humanoid Robot Arm Joint

To address the problems of torque limit and controller saturation in the control of robot arm joint,an anti-windup control strategy is proposed for a humanoid robot arm,which is based on the integral state prediction under the direct torque control system of brushless DC motor. First,the arm joint of the humanoid robot is modelled. Then the speed controller model and the influence of the initial value of the integral element on the system are analyzed. On the basis of the traditional antiwindup controller,an integral state estimator is set up. Under the condition of different load torques and the given speed,the integral steady-state value is estimated. Therefore the accumulation of the speed error terminates when the integrator reaches saturation. Then the predicted integral steady-state value is used as the initial value of the regulator to enter the linear region to make the system achieve the purpose of anti-windup. The simulation results demonstrate that the control strategy for the humanoid robot arm joint based on integral state prediction can play the role of anti-windup and suppress the overshoot of the system effectively. The system has a good dynamic performance.