Nonlinear control with distributed delay for angular stabilization of a rigid body

The problem of angular stabilization a rigid body with an arbitrary triaxial ellipsoid inertia is solved. control strategy based on the type PID controller, in which, instead classical integral term, more flexible option used, which assumes presence distributed delay (integral term) torque. In addition, usual linear restoring torque, non-linear uniform torque used for first time. analytical substantiation asymptotic stability program motion use special construction Lyapunov - Krasovskii functional. A theorem proved that gives sufficient conditions mode form constructive inequalities respect to parameters. effectiveness constructed demonstrated, simultaneously provides convergence speed and smoothness transient process.