Synthesis of multiple digital control systems with delay and evaluation of their dynamic properties

Abstract

The issues of synthesis of identification and control algorithms in multidimensional continuous, discrete and continuous-discrete (digital) systems with delay and incomplete measurement of the state with simultaneous analytical construction of the vector Lyapunov function and assessment of the dynamic properties of such systems by aggregated variables in the form of specified vector norms are considered. Application of the obtained results is demonstrated in the synthesis of a stabilization system for an information satellite the Sun-Earth  reference frame.