An algebraic and data derivative information approach to nonlinear system diagnosis

On nonlinear systems diagnosis using differential and algebraic methods

“…& Remark 3. Theorem 2, provides a non-systematic way to determine the diagnosability of a class of nonlinear systems described by (9). Moreover, the proof gives the necessary number of outputs or sensors ðmÞ needed to construct the differential algebraic equation associated to the fault.…”

“…In the next paragraphs some concepts concerning to the diagnosability problem will be presented [9,10].…”

“…Let consider system (9). The fault vector f is unknown and it can be assimilated as a state with uncertain dynamics.…”

An exponential polynomial observer for synchronization of chaotic systems

“…Before proposing the exponential polynomial observer, a definition concerning on algebraic observability condition is given (for more details see [28]). Definition 1.…”

Fault reconstruction for nonlinear systems using sliding mode observers

“…Some model-based approaches can be found, as the approaches based upon differential geometric methods [4][5]. On the other hand there are approaches proposed in an algebraic and differential framework [6][7][8][9][10][11][12][13][14]. These approaches consist in the observation of the dynamics of the fault variables, which are defined as uncertain inputs [15].…”