Fault Estimation Observer Design for Descriptor Switched Systems With Actuator and Sensor Failures

Chen, Liheng; Zhao, Yuxin; Fu, Shuai; Liu, Ming; Qiu, Jianbin

doi:10.1109/tcsi.2018.2871888

Cited by 64 publications

(32 citation statements)

References 44 publications

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“…Therefore, if the PD controller can make system (32) NS, we can conclude that it is also admissible. 35 In the following, some conditions ensuring the closed-loop system (30) to be NS are presented.…”

Section: Observer-based Pd Ftcmentioning

confidence: 99%

“…Theorem 3. The closed-loop system (30) is NS if there exist matrices  > 0,  1 and  2 such that inequality (33) is feasible…”

Section: Observer-based Pd Ftcmentioning

confidence: 99%

“…In what follows, by an appropriate congruence transformation, we obtain an equivalent statement of Theorem 3. (30) is NS if there exist matrices  > 0,  1 ,  2 ,  1 , and  2 such that the LMI (42) is feasible…”

Section: Observer-based Pd Ftcmentioning

confidence: 99%

“…Furthermore, via the Kalman‐Yakubovich‐Popov lemma, the result in the work of Wang et al designed an H − / H ∞ fault detection observer in finite frequency domain for LPV singular systems. Moreover, by letting the fault and state become a new vector, an FE procedure was given in the work of Chen et al for a class of descriptor switched systems. Based on a similar augmentation technique, sensor FE and FTC methods were presented in the work of Brahim et al for Takagi‐Sugeno (T‐S) fuzzy singular systems.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Zhang

et al. 2019

Optim Control Appl Methods

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Summary This paper focuses on designing fault estimation (FE) and fault tolerant control (FTC) schemes for continuous‐time singular systems affected by actuator fault. A novel observer called the extended proportional integral observer (PIO) is designed so that the estimations of system state and actuator fault can be obtained simultaneously. In contrast with the traditional PIO, better estimation performance can be obtained by using the designed observer. Furthermore, with the obtained FE information, a novel proportional derivative–type FTC scheme is given by means of the separation property and the free‐weighting matrix technique, which ensures that the closed‐loop system is normal and stable. All the feasible conditions are formulated in linear matrix inequality (LMI) frameworks. Finally, two examples are simulated to prove the superiority and practicability of the presented scheme.

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Section: Observer-based Pd Ftcmentioning

confidence: 99%

“…Theorem 3. The closed-loop system (30) is NS if there exist matrices  > 0,  1 and  2 such that inequality (33) is feasible…”

Section: Observer-based Pd Ftcmentioning

confidence: 99%

Section: Observer-based Pd Ftcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Zhang

et al. 2019

Optim Control Appl Methods

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“…Summarizing the aforementioned discussions, the problem on estimations of the state and faults for MJSs have attracted intensive attention, and some desired results have been achieved . Notably, Li et al and Yin et al devised approaches to estimate both the actuator and sensor faults at the meantime, relying upon the designs of sliding mode observers with TRs being completely known.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous fault estimation for uncertain Markovian jump systems subjected to actuator degradation

Zhang

Wang

2019

Intl J Robust & Nonlinear

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Summary This paper investigates simultaneous estimations of states, system fault, and sensor fault for a class of Markovian jump systems, resorting to the design of a robust observer, in which both the external disturbance and actuator degradation are taken into consideration. The loss‐of‐effectiveness, stuck, and outage fault cases are involved, and the considered Markovian jump system is assumed to possess generally uncertain transition rates, which can generalize the traditional bounded uncertain transition rates and partially unknown transition rates. In particular, an augmented system whose states cover the original states, system fault, and sensor fault is constructed. Then, a novel adaptive observer is presented with time‐varying gain matrices and parameter accommodation being injected to deal with the disturbance and actuator degradation. Finally, a practical example is shown to demonstrate the high efficiency of the proposed method as well as its advantages over some existing results.

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Simultaneous actuator and sensor fault reconstruction of singular delayed linear parameter varying systems in the presence of unknown time varying delays and inexact parameters

Hassanabadi

Komachali

Shafiee

et al. 2022

Adaptive Control & Signal

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In this article, robust fault diagnosis of a class of singular delayed linear parameter varying systems is considered. The considered system has delayed dynamics with unknown time varying delays and also it is affected by noise, disturbance and faults in both actuators and sensors. Moreover, in addition to the aforementioned unknown inputs and uncertainty, another source of uncertainty related to inexact measures of the scheduling parameters is present in the system. Making use of the descriptor system approach, sensor faults in the system are added as additional states into the original state vector to obtain an augmented system. Then, by designing a suitable proportional double integral unknown input observer (PDIUIO), the states, actuator, and sensor faults are estimated. The uncertainty due to the mismatch between the inexact parameters that schedule the observer and the real parameters that schedule the original system is formulated with an uncertain system approach. In the PDIUIO, the uncertainty induced by unknown inputs (disturbance, noise and actuator, and sensor faults), unknown delays, and inexact parameter measures are attenuated in H ∞ sense with different weights. The constraints regarding the existence and the robust stability of the designed PDIUIO are formulated using linear matrix inequalities. The efficiency of the proposed method is verified using an application example based on an electrical circuit. K E Y W O R D Sactuator and sensor fault reconstruction, inexact parameters, multiple unknown time varying delays, proportional double integral unknown input observer, singular delayed linear parameter varying systems

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Fault Estimation Observer Design for Descriptor Switched Systems With Actuator and Sensor Failures

Cited by 64 publications

References 44 publications

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems

Simultaneous fault estimation for uncertain Markovian jump systems subjected to actuator degradation

Simultaneous actuator and sensor fault reconstruction of singular delayed linear parameter varying systems in the presence of unknown time varying delays and inexact parameters

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