Fault detection filters for a class of nonlinear systems

Event-triggered autonomous platoon control against probabilistic sensor and actuator failures

“…In this research, the sensor-failure model in [20] was utilized to describe the failure phenomenon in GPS, wheel speed sensor and accelerometer, namely (9) can be written in the following form:…”

Hybrid adaptive observers for locally Lipschitz systems with application to mechanical oscillators

“…Adaptation algorithm takes form In accordance with the second statement of the theorem the proposed identification algorithm (consisting in observer (13), auxiliary filter (14) and adaptation algorithm (15)) estimates the value θ with accuracy proportional to ε for the case of disturbances absence.…”

“…Adaptive observers are designed for systems with parametric uncertainties [6], [12], [33], [35], [38]. Observers design procedures find their applications not only in areas of control under partial measurements [15], [40], but also for fault detection [3], [13], [33], [36] systems synchronization [22] and secured data transmission and encoding [12], [24].…”

“…( ) ( , ) = + + x Ax φ y Bf x d , = y Cx, Observers design for Lipschitz systems (1) was considered in [13,[27][28][29][30]32]. Robust properties of observers for (1) with respect to disturbing input d were analyzed in [1], [3], [25].…”

Dynamic Observers for Nonlinear Lipschitz Systems

“…His algorithm is based on solving an algebraic Riccati equation to obtain the static observer gain. Raghavan's technique was later extended by Garg and Hedrick, (Garg and Hedrick, 1996), to study fault detection and identification in Lipschitz systems. Unfortunately, Raghavan's algorithm often fails to succeed even when the matrices (A, C) satisfy the usual observability assumptions.…”