A bounded-error approach to simultaneous state and actuator fault estimation for a class of nonlinear systems

Abstract

This paper proposes an approach for the joint state and fault estimation for a class of uncertain nonlinear systems with simultaneous unknown input and actuator faults. This is achieved by designing an unknown input observer combined with a set-membership estimation in the presence of disturbances and measurement noise. The observer is designed using quadratic boundedness approach that is used to overbound the estimation error. Sufficient conditions for the existence and stability of the proposed state and actuator fault estimator are expressed in the form of linear matrix inequalities (LMIs). Simulation results for a quadruple-tank system show the effectiveness of the proposed approach.

Finite‐time prescribed performance adaptive fuzzy fault‐tolerant control for nonstrict‐feedback nonlinear systems

“…where Ξ = [̂T,̂T, ] T witĥ= [̂1, … ,̂] T ,̂= [̂1, … ,̂] T , g j > 0 and d j > 0 are design constants, j and j are defined in (20) and (23), respectively, 0.5 < < 1,̂is the estimation of the unknown constant j = || j || 2 with the evaluated error being̃= −̂. For j = 1, … , n, the parameter adaptive laws are given as…”

“…It is well known that actuator faults usually cause discontented system behavior and result in catastrophic accidents or even instability of the systems. [16][17][18][19][20][21] Therefore, many scholars have dedicated much effort to fault-tolerant control (FTC), 22,23 which is an effective tool for the works on stability analysis and is necessary for the safety and reliability of the systems. In the work of Huo et al, 24 adaptive fuzzy control scheme for accommodating actuator faults was considered for SISO strict-feedback nonlinear systems.…”

Nonparametric methods for fault diagnosis in dynamic systems

“…Note that the presentation similar to is often used in the literature (see, eg, the works of Witczak et al and Buciakowski et al). In the present paper, such a presentation is used to implement so‐called logic‐dynamic approach, which allows to use the methods of linear algebra to solve the FD problem in nonlinear systems.…”

“…The model (6) can be obtained from (1) by some transformations described in other works 16,17,19. Note that the presentation similar to (6) is often used in the literature (see, eg, the works of Witczak et al23 and Buciakowski et al24 ). In the present paper, such a presentation is used to implement so-called logic-dynamic approach, which allows to use the methods of linear algebra to solve the FD problem in nonlinear systems.The logic-dynamic approach has three steps 19.…”

Fault tolerant control of uncertain dynamical systems using interval virtual actuators

“…The virtual actuator-based FTC strategy proposed in this paper does not depend on the specific fault estimation technique, which is used for obtainingf (t) andγ(t). Notice that bounded-error approaches for achieving a set-membership fault estimation in uncertain systems with unknown inputs, disturbances, and noise have been proposed in the recent literature (see, eg, Buciakowski et al 42 ), which could be a valid choice for obtaining Δf(t) and Δγ(t).…”