×

Simultaneous time-varying actuator and sensor fault reconstruction based on PI observer for LPV systems. (English) Zbl 1330.93048

Summary: We consider problems of actuator and sensor fault reconstruction simultaneously for linear parameter varying systems expressed in polytopic forms. By extending the sensor fault as an auxiliary state, a polytopic unknown input proportional-integral observer in which the actuator fault signals are assumed to be time varying is developed to estimate the system states and the actuator and sensor fault at the same time. The existence conditions of the observer are derived in terms of linear matrix inequalities that can be readily handled via some efficient tools. An example is given to demonstrate the advantages of the proposed method in comparison to the existing results.

MSC:

93B07 Observability
93C05 Linear systems in control theory
93B35 Sensitivity (robustness)
93C15 Control/observation systems governed by ordinary differential equations

Software:

ADDSAFE
Full Text: DOI

References:

[1] ZhuFL, CenF. Full‐order observer‐based actuator fault detection and reduced‐order observer‐based fault reconstruction for a class of uncertain nonlinear systems. Journal of Process Control2010; 20(10):1141-1149.
[2] StaroswieckiM, Comtet‐VargaG. Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems. Automatica2001; 37(5):687-699. · Zbl 1007.93029
[3] PattonRJ, ChenJ. Robust fault detection using eigenstructure assignment: a tutorial consideration and some new results. Proceedings of 30th IEEE Conference on Decision and Control, Brighton, England, 1991; 2242-2247.
[4] IsermannR. Fault diagnosis of machines via parameter estimation and knowledge processing. Automatica1993; 29(4):815-835. · Zbl 0800.93155
[5] EdwardsC, SpurgeonSK, PattonRJ. Sliding mode observers for fault detection and isolation. Automatica2000; 36(4):541-553. · Zbl 0968.93502
[6] XiongY, SaifM. Robust fault detection and isolation via a diagnostic observer. International Journal of Robust and Nonlinear Control2000; 10(14):1175-1192. · Zbl 0967.93035
[7] YanXG, EdwardsC. Robust sliding mode observer‐based actuator fault detection and isolation for a class of nonlinear systems. International Journal of Systems Science2008; 39(4):349-359. · Zbl 1168.93324
[8] MeskinN, KhorasaniK. Fault detection and isolation of discrete‐time Markovian jump linear systems with application to a network of multi‐agent systems having imperfect communication channels. Automatica2009; 45(9):2032-2040. · Zbl 1175.93142
[9] XiongY, SaifM. Robust fault detection and isolation via a diagnostic observer. International Journal of Robust and Nonlinear Control2000; 10(14):1175-1192. · Zbl 0967.93035
[10] RosaP, SilvestreC. Fault detection and isolation of LPV systems using set‐valued observers: an application to a fixed‐wing aircraft. Control Engineering Practice2013; 21(3):242-252.
[11] GuoHF, QiuJB, TianH, GaoHJ. Fault detection of discrete‐time T‐S fuzzy affine systems based on piecewise Lyapunov functions. Journal of the Franklin Institute2014; 351(7):3633-3650. · Zbl 1290.93103
[12] YanXG, EdwardsC. Nonlinear robust fault reconstruction and estimation using a sliding mode observer. Automatica2007; 43(9):1605-1614. · Zbl 1128.93389
[13] XuD, JiangB, ShiP. Nonlinear actuator fault estimation observer: an inverse system approach via a TS fuzzy model. International Journal of Applied Mathematics and Computer Science2012; 22(1):183-196. · Zbl 1273.93105
[14] ZhuFL, YangJQ. Fault detection and isolation design for uncertain nonlinear systems based on full‐order reduced‐order and high‐order high‐gain sliding‐mode observers. International Journal of Control2013; 86(10):1800-1812. · Zbl 1312.93030
[15] YangJQ, ZhuFL, SunXJ. State estimation and simultaneous unknown input and measurement noise reconstruction based on associated observers. International Journal of Adaptive Control and Signal Processing27(2011), 10):846-858. · Zbl 1278.93258
[16] LiuM, CaoX, ShiP. Fuzzy‐Model‐based fault‐tolerant design for nonlinear stochastic systems against simultaneous sensor and actuator faults. IEEE Transactions on Fuzzy Systems2013; 21(5):789-799.
[17] ChadliM, AbdoA, DingSX. H_−/H_∞ fault detection filter design for discrete‐time Takagi-Sugeno fuzzy system. Automatica2013; 49(7):1996-2005. · Zbl 1364.93420
[18] BejaranoFJ, FloquetT, PerruquettiW, ZhengG. Observability and detectability of singular linear systems with unknown input. Automatica2013; 49(3):793-800. · Zbl 1267.93028
[19] DuDS, JiangB, ShiP. Sensor fault estimation and accommodation for discrete‐time switched linear systems. IET Control theory and applications2014; 8(11):960-967.
[20] LiuM, ShiP. Sensor fault estimation and tolerant control for \(I t \hat{o}\) stochastic systems with a descriptor sliding mode approach. Automatica2013; 49(5):1242-1250. · Zbl 1319.93075
[21] IchalalD, MarxB, RagotJ, MaquinD. Fault detection, isolation and estimation for Takagi-Sugeno nonlinear systems. Journal of the Franklin Institute2014; 351(7):3651-3676. · Zbl 1290.93107
[22] AlmaM, DarouachM. Adaptive observers design for a class of linear descriptor systems. Automatica2014; 50(2):578-583. · Zbl 1364.93388
[23] WangZH, ShenY, ZhangXL. Actuator fault estimation for a class of nonlinear descriptor systems. International Journal of Systems Science2014; 45(3):487-496. · Zbl 1307.93412
[24] DimassiH, LoriaA, BelghithS. Continuously‐implemented sliding‐mode adaptive unknown‐input observers under noisy measurements. System & Control Letters2012; 61(12):1194-1202. · Zbl 1255.93035
[25] LeeDJ, ParkY, ParkYS. Robust H_∞ sliding mode descriptor observer for fault and output disturbance estimation of uncertain systems. IEEE Transactions on Automatic Control2012; 57(11):2928-2934. · Zbl 1369.93126
[26] PasandMMS, MA Sh., TaghiradHD. Unknown input‐proportional integral observer for singular systems: application to fault detection. Proceedings of Iranian Conference on Electrical Engineering, Iranian, 2010; 662-667.
[27] KoenigD, MammarS. Design of proportional‐integral observer for unknown input descriptor systems. IEEE Transactions on Automatic Control2002; 47(12):2057-2062. · Zbl 1364.93091
[28] YoussefT, ChadliM, KarimiHR, ZelmatM. Design of unknown inputs proportional integral observers for TS fuzzy models. Neurocomputing2014; 123(10):156-165.
[29] HamdiH, RodriguesM, MechmecheC, BraiekNB. Fault detection and isolation in linear parameter‐varying descriptor systems via proportional integral observer. International journal of adaptive control and signal processing2011; 26(3):224-240. · Zbl 1309.93030
[30] Aguilera‐GonzalezA, TheilliolD, Adam‐MedinaM, AstorgaZ, CarlosM, RodriguesM. Sensor fault and unknown input estimation based on proportional integral observer applied to LPV descriptor systems. Proceedings of 8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Mexico City, Mexico, 2012; 1059-1064.
[31] AlwiH, EdwardsC, MarcosA. Fault reconstruction using a LPV sliding mode observer for a class of LPV systems. Journal of the Franklin Institute2012; 349(2):510-530. · Zbl 1254.93034
[32] KulcsarB, BokorJ, ShinarJ. Unknown input reconstruction for LPV systems. International Journal of Robust and Nonlinear Control2010; 20(5):579-595. · Zbl 1185.93030
[33] ArmeniS, CasavolaA, MoscaE. Robust fault detection and isolation for LPV systems under a sensitivity constraint. International Journal of Adaptive Control and Signal Processing2009; 23(1):55-72. · Zbl 1163.93346
[34] HabibH, RodriguesM, MechmecheC, TheilliolD, BraiekNB. State estimation for polytopic LPV descriptor systems: application to fault diagnosis. 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Barcelona, Espagne, 2009; 438-443.
[35] Astorga‐ZaragozaCM, TheilliolD, PonsartJC, RodriguesM. Fault diagnosis for a class of descriptor linear parameter‐varying systems. International Journal of Adaptive Control and Signal Processing2012; 26(3):208-223. · Zbl 1401.93042
[36] RodriguesM, SahnounM, TheilliolD, PonsartJC. Sensor fault detection and isolation filter for polytopic LPV systems: a winding machine application. Journal of Process Control2013; 23(6):805-816.
[37] ShiFM, PattonR. Active fault tolerant control of LPV descriptor systems based on extended state observers. American Control Conference, Portland, Oregon, 2014; 4458-4463.
[38] AlwiH, EdwardsC. Development and application of sliding mode LPV fault reconstruction schemes for the ADDSAFE. Control Engineering, Practice DOI: 10.1016/j.conengprac.2014.05.003.
[39] ChilaliM, GahinetP. H_∞ design with pole placement constraints: an LMI approach. IEEE Transactions on Automatic Control1996; 41(3):358-367. · Zbl 0857.93048
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.