A global observer for autonomous systems with bounded trajectories

Abstract

SUMMARYThe problem of global observer design for autonomous systems is investigated in this paper. A constructive approach is presented for the explicit design of global observers for completely observable systems whose solution trajectories are bounded from any initial condition. Since the bound of a solution trajectory depends on the initial condition and is therefore not known a priori, the idea of universal control is employed to tune the observer gains on-line, achieving global asymptotic convergence of the proposed high-gain observer.

Stubborn state observers for linear time-invariant systems

“…The material in this paper was partially presented at the 2015 European Control Conference, July [15][16][17]2015, Linz, Austria.…”

“…Finally, it is worth mentioning that there exist some few results on saturated high-gain observers for nonlinear systems. In [17], the saturation is used to ensure that the estimate takes into account the knowledge on the boundedness of the state trajectories. A nested-saturation lowpower approach is proposed in [4,25] to overcome the well-known issue of the peaking, which affects high-gain observers.…”

Global finite-time output feedback synchronization for a class of high-order nonlinear systems

“…The method could not handle the case that only the information relative outputs can be obtained. In addition, A global observer for nonlinear system was constructed in [21]. In this literature, only autonomous systems were discussed and a less conservative synchronization condition was derived.…”