Minimization of Peak Effect in the Free Motion of Linear Systems with Restricted Control

A peak effect minimization problem in the free motion of linear systems is considered paper. The paper proposes an iterative procedure for using a combination recently proposed gramian-based approach and theory condition number eigenvectors matrix upper bound estimations system state processes. Minimization control costs based on analysis singular value decomposition gramian costs, followed by formation major minor gramian. trajectories movement carried out minimizing stable closed-loop system, while with desired eigenvalues designed generalized modal control. development algorithm under any non-zero initial conditions restricted aggregated index. index takes into account both estimate system. makes it possible to ensure minimal deviations class. applied two satellites control, where effects relative are minimized. Two cases affect considered. In first case, only costs. second realized developed algorithm. results illustrate efficiency indicate decrease trajectories.