Article history: Received 24 June 2010 Received in revised form 29 January 2011 Accepted 9 February 2011 Available online 13 February 2011

This paper proposes a grey-PID type fuzzy controller (GPIDFC) with an adaptive step size to control the velocity of a spherical rolling robot characterized by a highly nonlinear system model. The proposed control structure consists of a grey predictor and a PID type fuzzy controller (PIDFC). Another fuzzy controller is proposed to tune the step size of the grey predictor. The simulation results...

Grey system theory has been widely applied to many domains such as economy, biology, agriculture, control and so on. Based on the theory of grey system, this paper established GM(1,1) grey predict modeI for the first time to forecast Chinese every hundred rural households owned computers and every hundred rural households owned mobile phone. The predicting results are almost close to the actual...

Product-sum-type fuzzy controllers are known to have similar characteristics to PD-type controllers. In the case of type-0 control systems, PID-type fuzzy controllers have been proposed in the literature in order to eliminate the steady-state error. However, these control methods, essentially based on conventional PID theory, have no predictive capabilities. The concept of grey system theory, w...

In J. Phys. Soc. Jpn. 83, 034404 (2014), we designed a scheme of waveguide arrays with long-range linear coupling effects and studied the bright solitons in this system. In this paper, we further study the dynamics of dark and grey solitons in such waveguide arrays. The numerical simulations show that the stabilities of dark solitons and grey solitons depend on the normalized decay length and t...

Regional logistics demand prediction directly affects regional economy development and logistics planning. Grey prediction, BP neural network, grey neural network and other methods have been widely used in the prediction of complex nonlinear logistics demand system. In this study, an improved grey neural network model was proposed based on these models. First, in this model, the grey influence ...

This paper investigates the intonation development of an infant during the first year. Three stages include the goo stage (2-3 months), the canonical babbling stage (7-9 months), and the variegated babbling stage (10-12 months). Falling contour was found to be the most common intonation at the goo stage. Rising contour was found to be the dominant intonation both at the canonical babbling and t...

The grey system theory studies the uncertainty of small sample size problems. This paper using grey system theory in the deformation monitoring field, based on analysis of present grey forecast models, developed the spatial multi-point model. By using residual modification, the spatial multi-point residual model was developed in further study. Then, combined with the sedimentation data of Xiaol...