*Correspondence: [email protected] School of Science, Tianjin Polytechnic University, Tianjin, 300387, China Abstract In this paper, we propose a simple and useful approach to design an observer for multiple time-delays nonlinear systems in a triangular form. By constructing a new Lyapunov-Krasovskii functional and using the differential mean-value theorem, the sufficient conditions for the e...

This paper focuses on the principle for designing reduced-order fuzzy-observer-based actuator fault reconstruction for a class of nonlinear systems. The problem addressed can be indicated as an approach for a kind of reduced-order fuzzy observer design with special gain matrix structure that depends on a given matching condition specification. Using the Lyapunov theory, the stability conditions...

This paper presents new results concerning the observer design for wide classes of nonlinear systems with both sampled and delayed measurements. By using a small gain approach we provide sufficient conditions, which involve both the delay and the sampling period, ensuring exponential convergence of the observer system error. The proposed observer is robust with respect to measurement errors and...

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The guarantees existence of an observer, whose gain is determined only by unstable modes system. allows observer design with low computational complexity compared to classical estimation approaches. An extension this class nonlinear proposed, and local convergence correspond...