Improved Time-Varying Controller Based on Parameter Optimization for Libration-Point Orbit Maintenance

AbstractAn improved time-varying optimal controller based on parameter optimization is proposed for the stabilization of spacecraft missions on nominal libration-point orbits of the Sun–Earth system. Because of the importance of the weighting matrices in the design of the time-varying controller, based on a genetic algorithm and the sequential quadratic programming method, two optimization models (for time-invariant and piecewise-constant weighting matrices) are used to determine the weighting matrices to improve the performance of the time-varying optimal controller. Practical missions are presented for a spacecraft moving steadily on a reference orbit. Numerical simulations of these missions demonstrate that the parameter-optimization methods provide a smaller overshoot and faster convergence time than when trial-and-error or Bryson’s rule are used to select the weighting matrices. Piecewise-constant weighting matrices calculated for the time-varying controller using the parameter-optimization method pr...

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