To develop appropriate control laws and use fully the capacities of robots, a precise modelization is needed. Classic models such as ARX or ARMAX can be used but in the robotic field the Inverse Dynamic Model (IDM) gives far better results. In this model, the motor torques depend on the acceleration, speed and position of each joint, and of the physical parameters of the link of the robots (ine...

The price of crude oil soared after the outbreak Russia-Ukraine conflict. However, China's stock market, by contrast, continues to fall. This paper studies impact on dynamic China’s market. We build an ARMAX model and ARMA-GARCH analyze whether there are connections between finds that futures rate return is positively correlated with Shenzhen Component index Shanghai return. Also, has a signifi...

The chemical process considered serves as an appropriate paradigm of multivariable dynamic systems of strong non-linear coupling in the control of which the state propagation of various internal degrees of freedom can neither be measured nor directly controlled. The desired output is a single real, nonlinear function of these quantities. In the present example only a single input variable is us...

Forecasting of machine outages have been actively pursued in the manufacturing industries to ensure that maintenance is carried out only when required. In this paper, we propose a precognitive maintenance framework based on mixed timeand condition-based models to predict both machine degradation stage and wear. The decision-making framework is based on stage classification using Support Vector ...

This paper considers the properties of a minimum variance self-tuning tracker for MIMO systems described by ARMAX models. It is assumed that the stochastic noise has a non-Gaussian distribution. Such an assumption introduces into a recursive algorithm a nonlinear transformation of the prediction error. The system under consideration is minimum phase with different dimensions for input and outpu...

We analyse the relationship between a mobile robot’s perception, motion and position (i.e. we address the problem of sensor-based self-localisation), by constructing transparent, linear polynomial models, using an ARMAX process which expresses the interdependency between motion, perception and location. Our models show that in sensor-based localisation there is a clear and measurable trade-off ...