Abstract
In this paper, we propose a switching control strategy for so-called ‘first-order’ symmetric affine systems, whose controllability distribution are spanned by less than first order Lie brackets. The main idea here is to split the given system into some (chained) subsystems, and then apply a conventional control method for chained systems in sequence. As for the ‘conventional part’, we adopt the time-state control method. The proposed strategy guarantees that the finite state stays within an arbitrary given neighborhood of the origin. With an example of attitude control of a spatial satellite, we show that approximate use of this strategy is valid as well.
