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2015JAT/bin/jat/application/AttitudeSimulator/help/BangBangControl.html
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| <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> | |
| <html> | |
| <head> | |
| <title>Bang-Bang control</title> | |
| <meta http-equiv="content-type" content="text/html; charset=Shift_JIS"> | |
| </head> | |
| <body> | |
| <div align="center"> <font color="#330000"><img src="BangBangTitle.GIF" | |
| alt="Title" width="492" height="64"> | |
| </font> | |
| <div align="left"><b><u>Description</u></b><br> | |
| <br> | |
| A basic bang-bang control about single axis was implemented in this scenario. | |
| <br> | |
| </div> | |
| </div> | |
| The model of a linearized spacecraft dynamics with a proportional and | |
| derivative<br> | |
| control was considered, which is shown in the illustration below.<br> | |
| <br> | |
| <img src="BangBang.GIF" alt="Block Diagram" width="584" | |
| height="233"> | |
| <br> | |
| <br> | |
| <b><u>Inputs</u></b><br> | |
| <br> | |
| <b>J</b>                             Spacecraft Moment | |
| of inertia<br> | |
| <b>wn</b>                           Desired natural | |
| frequency<br> | |
| <b>damping</b>                   Desired damping coefficient<br> | |
| <b>Torque</b>                    Torque level of the bang-bang | |
| actuator<br> | |
| <b>Dead Zone</b>               Range in which no torque should | |
| be applied<br> | |
| <b>theta_com</b>                Commanded angular position<br> | |
| <br> | |
| <b><u>Initial Condition<br> | |
| </u></b><br> | |
| <b>theta </b>                    Spacecraft angular position | |
| for an actuator with no constraint<br> | |
| <b>thetaDot</b>                Spacecraft angular velocity | |
| for an actuator with no constraint<br> | |
| <b>thetaBang </b>             Spacecraft angular position for | |
| the bang-bang actuator<br> | |
| <b>thetaDotBang</b>         Spacecraft angular velocity for the bang-bang | |
| actuator<br> | |
| <br> | |
| <br> | |
| <br> | |
| <br> | |
| <br> | |
| <br> | |
| </body> | |
| </html> |