### 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) |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

- Applied Mathematics
- Mathematics (miscellaneous)
- Education

### Cite this

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

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

**Modelling, simulation, animation, and real-time control (MoSART) for a class of electromechanical systems : A system-theoretic approach.** / Rodriguez, Armando; Metzger, Richard P.; Cifdaloz, Oguzhan; Dhirasakdanon, Thanate; Welfert, Bruno.

Research output: Contribution to journal › Article

*International Journal of Mathematical Education in Science and Technology*, vol. 35, no. 6, pp. 877-896. https://doi.org/10.1080/00207390412331285730

}

TY - JOUR

T1 - Modelling, simulation, animation, and real-time control (MoSART) for a class of electromechanical systems

T2 - A system-theoretic approach

AU - Rodriguez, Armando

AU - Metzger, Richard P.

AU - Cifdaloz, Oguzhan

AU - Dhirasakdanon, Thanate

AU - Welfert, Bruno

PY - 2004

Y1 - 2004

N2 - 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-Lab1, the environment is based on Microsoft Windows/Visual C++/Direct-3D and MATLAB/Simulink2. 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.

AB - 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-Lab1, the environment is based on Microsoft Windows/Visual C++/Direct-3D and MATLAB/Simulink2. 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.

UR - http://www.scopus.com/inward/record.url?scp=84981290308&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84981290308&partnerID=8YFLogxK

U2 - 10.1080/00207390412331285730

DO - 10.1080/00207390412331285730

M3 - Article

AN - SCOPUS:84981290308

VL - 35

SP - 877

EP - 896

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

SN - 0020-739X

IS - 6

ER -