### Abstract

This paper describes an interactive modelling, simulation, animation, and real-time control (MoSART) environment for a class of ‘cart-pendulum’ electromechanical systems that may be used to enhance learning within differential equations and linear algebra classes. The environment is useful for conveying fundamental mathematical/systems concepts through computeraided analysis, design, graphical visualization, and 3D animation. Referred to as Cart-Pendulum Control3D-Lab^{1}, the environment is based on Microsoft Windows/Visual C++/Direct-3D and MATLAB/Simulink^{2}. Pull-down menus provide access to systems/models/control laws, exogenous signals, parameters, animation models and visual indicators, a suite of (easy-to-modify) Simulant diagrams containing models and control laws, MATLAB m-files for detailed analysis and design, and detailed documentation for each of the above. Three blocks enable animation, joystick inputs, and real-time animation within Simulant. Examples are presented to illustrate the utility of the environment as a valuable tool for analysing/visualizing the above class of electromechanical systems and for enhancing mathematics instruction.

Original language | English (US) |
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Pages (from-to) | 877-896 |

Number of pages | 20 |

Journal | International Journal of Mathematical Education in Science and Technology |

Volume | 35 |

Issue number | 6 |

DOIs | |

State | Published - 2004 |

### ASJC Scopus subject areas

- Applied Mathematics
- Mathematics (miscellaneous)
- Education

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## Cite this

*International Journal of Mathematical Education in Science and Technology*,

*35*(6), 877-896. https://doi.org/10.1080/00207390412331285730