Abstract:

 The spacecraft attitude optimal control problem is considered, and the optimal attitude control problem is transformed into an optimal parameter selection problem by means of control parameterization and constrained transcription. A new interval time transformation method is proposed to solve the calculation of switching time for optimal parameter selection problem. The switching time is divided into a series of subsets in order, and the time domain width of each set is optimized as the decision variable. The switching time points in each subset change linearly with the decision variable. Thus, the control values distribute in several dense or sparse intervals, instead of being represented by evenly divided piecewise constant functions. Compared with the fulltime node optimization technique, this method effectively reduces the number of calculated decision variables and increases the execution efficiency of the algorithm.

Key words: Control parameterization')">

Control parameterization, Spacecraft attitude control, Time scaling transform