SATELLITE FORMATION MAINTENANCE BASED ON STOCHASTIC MODEL PREDICTIVE CONTROL

Aimed at the problem of random disturbance information keeping of satellite formation, a formation configuration keeping control algorithm based on stochastic model predictive control (SMPC) is proposed. Under the condition of ensuring the accuracy, the nonlinear relative motion mechanics equations were linearized and discretized. Considering that model predictive control was not easy to deal with the chance constraint problem of unbounded random disturbance, a distributed robust chance constraint model was proposed to effectively solve the fuzzy information of random variables. The formation keeping control algorithm based on stochastic model predictive control was obtained by reconstructing the chance constraint into a manageable constraint by conditional value at risk (CVaR). The effectiveness and superiority of the algorithm were verified by comparing with the traditional model predictive control algorithm through mathematical simulation.