Stabilization of nonlinear systems on the basis of the method of the Lyapunov function with the nonlinearity and disturbance estimation

An approach to one-dimensional (SISO) nonlinear dynamic objects’ stabilization on the basis of the general stability theory is offered. A recurrent equation for the simultaneous estimation of the nonlinearity and external disturbance, which are used in “equivalent control” structures, is gained. Sufficiently faithful realization of “equivalent control” and utilization of stabilizing P-control (proportional), which allows the amplification coefficient boundless growth without loss of stability, have been allowed to gain high tracking and operating accuracy. Stabilization model problems are solved using the Matlab/Simulink software package.