State and Unknown Inputs Finite Time Estimation for Time-Varying Nonlinear Lipschitz Systems with Uncertain Disturbances

摘要

The continuous time-varying systems with Lipschitz nonlinearities subject to bounded by L_2 norm external disturbances and unknown inputs are considered. There suggested ways of observers synthesis for state and unknown inputs, providing H_∞ rejection of initial deviations and bounded external disturbances simultaneously. Thus the observers gain depend on a time and is defined on the basis of the numerical solving of optimization problem with differential linear matrix inequalities or the numerical solving of corresponding matrix comparison system. The proposed observers are used to state and unknown inputs estimation of Rossler system.