Abstract:

An improved hp adaptive Radau pseudospectral method is proposed for the multi-constrained attitude optimal manoeuvre planning problem of high-resolution flexural remote sensing satellites for Earth observation missions. The improved method is proposed to use a two-layer optimisation iteration strategy， with the residuals of the differential-algebraic constraint at sampling points with Gaussian distribution as the error evaluation criterion for optimisation and the quarter of the ratio of curvature maximum to standard deviation at each sampling point as the refinement criterion for quadratic optimisation， which together improve the efficiency of the solution of the method. Firstly， a rigid-flexible coupled state space equation for the optimal control method is established by combining the satellite dynamics， kinematics and the vibration equations of the flexural attachment， and secondly， an improved hp adaptive Radau pseudospectral method is used to transform the optimal control problem into a general non-linear programming. The problem is solved using a modified hp adaptive Radau pseudospectral method. The simulation results show that the method can generate optimal trajectories satisfying all constraints， and it takes less time and is more efficient than the traditional hp adaptive pseudospectral method with the same accuracy. The method provides a design basis for high-resolution remote sensing satellites to perform complex space missions， and has engineering significance.

Key words: flexible remote sensing satellite, hp adaptive, Radau pseudospectral method, multi-constraint, trajectory optimization