Unknown-input-observer-based approach to dynamic event-triggered fault estimation for Markovian jump systems with time-varying delays

Fault estimation of continuous‐time switched affine systems with actuator faults under dwell time constraint

“…which means that V(t) exponentially converges to 𝜃 𝛼 as t → ∞ and thus the state variable 𝜙(t) exponentially converges to the region given by (14).…”

“…It is worth mentioning that the above‐mentioned studies do not take the fault cases into account. Once a fault occurs in a practical system, it has the potential to substantially destabilize the system and potentially cause catastrophic consequences 14‐18 . As is well known, fault estimation plays an important role in the area of fault tolerant control 14 .…”

“…Once a fault occurs in a practical system, it has the potential to substantially destabilize the system and potentially cause catastrophic consequences 14‐18 . As is well known, fault estimation plays an important role in the area of fault tolerant control 14 . In order to obtain better fault estimation results, various types of fault estimation observers have been proposed, such as robust $$$ {H}_{\infty } $$$ observer, 14 reduced‐order observer, 19 sliding mode observer 20 and generalized observer, 21 and so forth.…”

“…As is well known, fault estimation plays an important role in the area of fault tolerant control 14 . In order to obtain better fault estimation results, various types of fault estimation observers have been proposed, such as robust $$$ {H}_{\infty } $$$ observer, 14 reduced‐order observer, 19 sliding mode observer 20 and generalized observer, 21 and so forth. The switched affine system contains affine terms responsible for the existence of several equilibrium points, which imposes a greater difficulty in carrying out the fault estimation problem compared to other types of switched systems.…”

Intermediate observer based simultaneous estimation of system states and multiple faults

“…In [17], by forming an augmented state vector an unknown input observer was proposed to estimate system states and actuator faults. This approach was applied and developed in other works, including [18][19][20][21][22].…”