The relation between L 2 ?gain and nite dimensional nonlinear observers is investigated. It is shown that suitable choices of supply rates render nite dimensional minimum energy, minimum energy certainty-equivalence, and minmax observers for nonlinear systems. The gains of these observers are analogous of the error covariance of the Kalman-Filter. They are derived by solving explicitly Hamilton...

Unknown input observers (UIOs) are observers that have stable error dynamics that are independent of unknown inputs. This paper studies such observers for nonlinear systems, and shows that the error dynamics for a nonlinear UIO has the same structure as the error dynamics of a nonlinear observer without unknown inputs. This result is first used to provide synthesis inequalities for UIOs for a c...

This paper studies theuncertain nonlinear dynamics of a MEMS optical switch addressing electrical, mechanical and optical subsystems. Recently, MEMS optical switch has had significant merits in reliability, control voltage requirements and power consumption. However, an inherent weakness in designing control for such systems is unavailability of switch position information at all times due to t...

In this paper, we consider the synthesis of Finite Time Observers for two class of nonlinear systems by solving some LMIs problem. First, we develop a method to calculate an affine gain which is used to determine an observer for a class of nonlinear systems. The method can also be applied to the case of another class of nonlinear systems with nonlinear output. A numerical example illustrates th...