Abstract
The paper is devoted to the problem of estimating simultaneously states, as well as actuator and sensor faults for Takagi–Sugeno systems. The proposed scheme is intended to cope with multiple sensor and actuator faults. To achieve such a goal, the original Takagi–Sugeno system is transformed into a descriptor one containing all state and fault variables within an extended state vector. Moreover, to facilitate the overall design procedure an auxiliary fault vector is introduced. In comparison to the approaches proposed in the literature, a usual restrictive assumption concerning fixed fault rate of change is removed. Finally, the robust convergence of the whole observer is guaranteed by the so-called quadratic boundedness approach which assumes that process and measurement uncertainties are unknown but bounded within an ellipsoid. The last part of the paper portrays an exemplary application concerning a nonlinear twin-rotor system.
Highlights
Nowadays, owing to the interest in highly efficient systems, industrial companies permanently extend the number of sensors and actuators being used
With the advent of IoT the number of components is systematically proliferating. This is mainly due to the fact of their relative low cost and wide accessibility. Irrespective of such an appealing effect, such a growth can increase the chance that actuator and sensor faults appear simultaneously
Fault estimation is an important actor in modern Fault
Summary
Nowadays, owing to the interest in highly efficient systems, industrial companies permanently extend the number of sensors and actuators being used. The resulting design approach provides optimal fault estimates according to H∞ criterion within the frequency domain Another appealing strategy for Lipschitz class of systems was introduced in Abdollahi [20]. The final group of approaches are the ones for polynomial systems [25,26] In this case, the design methodology reduces to converting the system by augmenting the state vector with fault variables. The unappealing feature of the existing approaches to simultaneous actuator and sensor fault estimation is that they do not provide sufficient information about the estimation quality To handle this issue, two kind of approaches can be utilized: the first one uses post-fault measurements [27]. The original system with the actuator fault with a time-varying distribution matrix is transformed into an equivalent one with a constant distribution matrix and the so-called auxiliary fault vector This strategy naturally reduces the design conservatives.
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