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This paper considers the problem of observer design for a class of nonlinear descriptor systems whose nonlinear terms are time-varying and satisfy a quadratic inequality. The error system is firstly represented by a Lur'e descriptor system (LDS). Then, motivated by the basic idea of absolute stability theory, both types of full-order and reduced-order observers are constructed by a unified approach...
An observer is designed for strongly detectable systems with unbounded unknown inputs. The design scheme is based on three steps. First, the system is extended taking the unknown inputs (and possibly some of their derivatives) as new states. Then, using a high-order sliding mode differentiator (HOSMD), a new output of the system is generated in order to fulfill the Hautus condition. Finally, the system...
The asymptotic stable observer design for a class of nonlinear descriptor system is investigated in this paper. First, we further extend the LaSalle's invariance principle of index one nonlinear descriptor systems and put forward a sufficient condition for the asymptotically stability of the system. Then, we discuss the observer design of the nonlinear descriptor systems satisfying the Lipschitz condition...
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