A separation principle for the stabilization of a class of nonlinear systems

Robust synchronization of nonlinear dynamical networks with delay & disturbances

“…Consider the observer [21] for implementation of γ derivatives of the signal Taking into account (10) and (11), rewrite (9) in the form Assumptions 1-3 hold. Then there exist numbers α > 0 and μ 0 > 0 such that for μ ≤ μ 0 control system (4), (10), (8) provides the goal (2).…”

Adaptive output feedback control for a class of uncertain nonlinear systems with actuator failures

“…Now we proceed with our control scheme design by assuming that the states of the system are available for measurement, then we relax this assumption based on the separation principle [15], and using high-gain observer to estimate the states for later use in our control law u.…”

“…Based on the separation principle [15], we use a high-gain observer to estimate the states of the system. The estimation x is then used in our control law, that is,…”

“…A widely used technique is RBF neural networks (RBF NNs) which approximates a nonlinear function up to some error tolerance. Amongst the works that use RBF NNs are, in 1999, Ge Besides, in many real cases, the system states are not available for measurement so, if the system can be expressed in normal form [15] and in presence of dynamics uncertainties, high-gain observers [4], [6], [11], [14], are the most suitable option to estimate the unavailable states of the plant. The disturbance rejection property of high-gain observers makes the adaptive controller more robust against the errors induced by compensation of the system uncertainties.…”

A separation principle for the stabilization of a class of time delay nonlinear systems

“…In this regard, Atassi and Khalil [1,2] proved a separation principle for nonlinear systems using high gain observers. [21] and [18] used a linear high gain observer to achieve global stabilization by output feedback for a class of nonlinear systems that are dominated by a triangular system satisfying a linear growth condition.…”