Technical communique: Global practical tracking of a class of nonlinear systems by output feedback
Automatica (Journal of IFAC)
Technical communique: An observation algorithm for nonlinear systems with unknown inputs
Automatica (Journal of IFAC)
Computers & Mathematics with Applications
Nonlinear observer design for a general class of nonlinear systems with real parametric uncertainty
Computers & Mathematics with Applications
Observer based control of piezoelectric actuators with classical Duhem modeled hysteresis
ACC'09 Proceedings of the 2009 conference on American Control Conference
Reduced order observer design for nonlinear systems with control applications
ACC'09 Proceedings of the 2009 conference on American Control Conference
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We introduce a new method for the design of observers for nonlinear systems using backstepping. The method is applicable to a class of nonlinear systems slighter larger than those treated by Gauthier, Hammouri, and Othman [IEEE Trans. Automat. Control, 27 (1992), pp. 875--880]. They presented an observer design method that is globally convergent using high gain. In contrast to theirs, our observer is not high gain, but it is only locally convergent. If the initial estimation error is not too large, then the estimation error goes to zero exponentially. A design algorithm is presented.