The inverted pendulum problem is one of the most important problems in control theory and has been studied excessively in control literatures. When control systems have strong requirements, the adjustment of the controller is a complex problem. The nonlinear model is useful for control design. In the present work, Volterra polynomial basis function (VPBF) networks have been used to identify a single inverted pendulum on a moving cart (SIPC) system. The inverted pendulum is a benchmark problem of nonlinear multivariable systems with inherent instability. The multivariable system has been considered with a force produced by a DC motor as the input, and four states variables as the outputs. A Fuzzy Logic controller has been used to stabilize the system for closed-loop identification. Here, the nonlinear model of the inverted pendulum has been implemented. The offline structure selection through orthogonal least square algorithm is used for the nonlinear system identification via the basis function selection of Volterra polynomial networks. The neural network is trained using the error between the model's outputs and the plant's actual outputs. The results show good match between predicted and actual outputs.

Most companies seek sustainability and competitive advantage for optimal problem solving and value creation. Medium-sized companies that account for more than 90% of the world´s total companies with a low research & development, tend to search for alternatives within the private and educational sector that allow them to increase their productivity without having to compromise their competitive activity in their sector. Collaboration with external actors represents an opportunity for organizations as it broadens their development of the productive system and their organizational behaviour. This interaction is known as Open Innovation. This concept has dismantled the traditional organizational archetype enabling universities to link the academy's work into the industrial sector. One-part of the academy, in collaboration with them, is the use of emerging technologies and digital tools that lead into a decision-making efficient process incorporating industry 4.0. A useful technology for this purpose is Discrete Event Simulation, a tool for system analysis, characterized by modifying variables without compromising the current productivity of the company. This document explains through a case study, the use of simulation in an enterprise of the automotive sector through the tool, in the lamination process of production line. The contribution of this paper is generating alternatives for the decision-making process in a real scenario, using the tool to achieve results in collaboration within the industry sector. The analysis shows the improvement, analyzing the productivity and choices, that increase in the profitability of the enterprise.