This paper discusses two linear parameters varying LPV based methods for an LPV magnetic satellite attitude control model to achieve closed loop system stability. The main goal of both methods is the optimization of closed-loop performance. However, they differ in implementation. While the first method relies on a single Lyapunov function for quadratic stability the second method uses a parameter-dependent Lyapunov functions for controller synthesis. For the gain scheduling since the satellite attitude model is affine in parameters it is enough to consider only the vertices. Hence for the first method a convex interpolation is used whereas the second method follows a simple linear interpolation. The two methods are presented and simulated under external disturbances.

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Linear Parameter Varying Techniques For Magnetic Attitude Control of a Satellite

  • Wafa Mezzi,
  • Bálint Kiss

摘要

This paper discusses two linear parameters varying LPV based methods for an LPV magnetic satellite attitude control model to achieve closed loop system stability. The main goal of both methods is the optimization of closed-loop performance. However, they differ in implementation. While the first method relies on a single Lyapunov function for quadratic stability the second method uses a parameter-dependent Lyapunov functions for controller synthesis. For the gain scheduling since the satellite attitude model is affine in parameters it is enough to consider only the vertices. Hence for the first method a convex interpolation is used whereas the second method follows a simple linear interpolation. The two methods are presented and simulated under external disturbances.