The design of an accurate fault-tolerant control fault-tolerant control is still an active researches of switched hybrid system whose switching mechanism is unknown. In this paper, a new approach is proposed to deal with switching mode estimation and control problems for switched system subject to actuator faults and disturbances. First, the switching mode is estimated off-line using the Chiu clustering algorithm. Then, actuator fault estimation is proposed using data-based projection approach based on performance measures that allow fault estimation without relying on mathematical models and fault assumptions. Second, a novel switching control strategy is developed for actuator fault compensation and recovering the desired performances. These strategy integrate a set of controllers, corresponding to a set of partial modes to design a bank of switching control laws, compensating for the actuator fault effect and attenuating the sinusoidal disturbance. A new linear matrix inequality is proposed to compute control gains based on Lyapunov stability. This approach allows finding the optimal control gains matrices and ensure both actuator fault compensation and disturbance attenuation. Simulation results of two numerical examples shows the effectiveness of the proposed estimation and control strategies in spite of the presence of actuator faults and sinusoidal disturbance.
SunZShuzhi SamG.Analysis and synthesis of switched linear control systems. Automatica2005; 41(2): 181–195.
2.
RezaeiMANayeripourMHuJ, et al. A new hybrid cascaded switched-capacitor reduced switch multilevel inverter for renewable sources and domestic loads. IEEE Access2022; 10: 14157–14183.
3.
BoukharoubaK.Modélisation et classification de comportements dynamiques des systemes hybrides. PhD thesis, Université de Lille, Lille, 2011.
4.
HöflingTPfeuferT. Detection of additive and multiplicative faults-parity space vs. Parameter estimation. IFAC Proc Vol1994; 27: 515–520.
5.
RamachandranKJuangJC.Fault tolerant consensus of multi agent systems under actuator faults. IEEE Access2022; 10: 9420–9430.
6.
DuDJiangBShiP.From control to supervision. Annu Rev Control2001; 25: 1–11.
7.
NouraHSauterDHamelinF, et al. Fault-tolerant control in dynamic systems: application to a winding machine. IEEE Contr Syst Mag2000; 20(1): 33–49.
8.
NouraHSauterDHamelinF, et al. Fault-tolerant control systems: design and practical applications. Berlin: Springer Science & Business Media, 2009.
9.
DuDJiangBShiP.Fault tolerant control for switched linear systems. Berlin: Springer, 2015.
10.
ZhangYJiangJ.Bibliographical review on reconfigurable fault-tolerant control systems. Annu Rev Control2008; 32(2): 229–252.
11.
VenkatsubramanianV.A review of process fault detection and diagnosis, part II: qualitative models and search strategics. Comput Chem Eng2003; 27(3): 313–326.
12.
FanJZhangYZhengZ.Adaptive observer-based integrated fault diagnosis and fault-tolerant control systems against actuator faults and saturation. J Dyn Syst Meas Control2013; 135(4): 41008.
13.
VanGGiuaADefoortM, et al. Active diagnosis for a class of switched systems. In: 2013 IEEE 52nd annual conference on decision and control, Firenze, 10–13 December 2013, pp.5003–5008. New York: IEEE.
14.
FrankMDingSBirgitK.Fault estimation and fault-tolerant control of Markovian jump system with mixed mode-dependent time-varying delays via the adaptive observer approach. Comput Chem Eng2017; 139(3): 31002.
15.
AshrafMAIjazSJavaidU, et al. A robust sensor and actuator fault tolerant control scheme for nonlinear system. IEEE Access2022; 10: 626–637.
16.
HakemAPekpeKCocquempotV. A parameter-free method for sensor fault detection and isolation in bilinear systems. In: Proceedings of 2012 UKACC international conference on control, Cardiff, 3–5 September 2012, Vol.139, pp.437–442. New York: IEEE.
17.
EdwardsCSpurgeonSPattonJ.Sliding mode observers for fault detection and isolation. Automatica2000; 36(4): 541–553.
18.
IsermannRBalleP.Fault-tolerant H∞ filter design of a class of switched systems with sensor failures. Control Eng Pract1997; 5(5): 709–719.
19.
FrankMDingSBirgittK.Current developments in the theory of FDI. IFAC Proc Vol2000; 33(11): 17–28.
20.
Ocampo-MartinezCPuigV.Fault-tolerant model predictive control within the hybrid systems framework: application to sewer networks. Int J Adapt Control Signal Process2009; 23(8): 757–787.
21.
ShiSYuanZZhangQ.Fault-tolerant H∞ filter design of a class of switched systems with sensor failures. Int J Innov Comput Inf Control2009; 5(11): 3827–3838.
22.
DuDJiangBShiP.Sensor fault estimation and compensation for time-delay switched systems. Int J Syst Sci2012; 43(4): 629–640.
23.
YahiaSBedouiSAbderrahimK.Data-based projection method for sensor fault tolerant control of switched systems. IFAC-PapersOnLine2017; 50: 71–76.
24.
YahiaSBedouiSAbderrahimK. Actuator fault estimation and compensation for hybrid switched system. In: International multi-conference on systems, signals & devices, Marrakech, Morocco, 28–31 March 2017, pp.313–318. New York: IEEE.
25.
YahiaSBedouiSAbderrahimK. Sensor fault estimation and compensation for hybrid switched system. In: 2016 20th international conference on system theory, control and computing, Sinaia, 13–15 October 2016, pp.449–454. New York: IEEE.
26.
Zhen LiLXinC.Adaptive actuator fault compensation and disturbance rejection scheme for spacecraft. Int J Control Autom Syst2020; 19: 900–909.
27.
ZamaniMRRahmaniZRezaieB.A novel model predictive control for a piecewise affine class of hybrid system with repetitive disturbance. ISA Trans2020; 108: 18–34.
28.
FanLSongY.Fault-tolerant control and disturbance attenuation of a class of nonlinear systems with actuator and component failures. Automatica2011; 37: 623–628.
29.
ShiPBoukasEKiong NguangS, et al. Robust disturbance attenuation for discrete-time active fault tolerant systems with uncertainties. Optim Control Appl Methods2003; 24(2): 85–101.
30.
HuKWenCYusupA.Improved adaptive hybrid compensation for compound faults of non-Gaussian stochastic systems. IEEE Access2019; 7: 51284–51294.
31.
HanJZhangHWangY.Fault estimation and fault-tolerant control for switched fuzzy stochastic systems. IEEE Trans Fuzzy Syst2018; 26(5): 2993–3003.
32.
YiHChenZTorrenA, et al. Improved H-infinity hybrid model predictive fault-tolerant control for time-delayed batch processes against disturbances. IEEE Access2020; 8: 70542–70552.
33.
KhadijaDAnisMRidhaBA.A discrete repetitive sliding mode multicontrol for non-linear systems. Int J Syst Sci2021; 52: 1761–1779.
34.
DehriKNouriAS.A discrete repetitive adaptive sliding mode control for DC-DC buck converter. Proc IMechE Part I: J Systems and Control Engineering2021; 235(9): 1698–1708.
35.
FariasAOQueirozGACBessaIV.Sim3tanks: a benchmark model simulator for process control and monitoring. IEEE Access2018; 6: 62234–62254.
36.
TelliliAElghoulAAbdelkrimMN.Additive fault tolerant control of nonlinear singularly perturbed systems against actuator fault. J Electr Eng2017; 68(1): 68–73.
37.
ChoukiRAribiAAounM. Additive fault tolerant control for fractional order model systems. In: 2015 16th international conference international conference on sciences and techniques of automatic control and computer engineering, Monastir, Tunisia, 21–23 December 2015, pp. 340–345. New York: IEEE.
38.
LinHAntsaklisPJ.Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Trans Autom Control2009; 45(2): 308–322.
39.
HakemACocquempoVPekpeKM.Switching time estimation and active mode recognition using a data projection method. Int J Appl Math Comput Sci2016; 26(4): 827–840.
40.
AllaouiMMessaoudADehriK, et al. Multimodel repetitive–predictive control of nonlinear systems: rejection of unknown non-stationary sinusoidal disturbances. Int J Control2017; 90: 1478–1494.
41.
WangJShenYZhangM. Fault detection for linear switched systems using unknown input observers. In: Proceedings of the 33rd Chinese control conference, Nanjing, China, 28–30 July 2014, pp.3219–3223. New York: IEEE.
42.
GuerraMKruszewskiAVermeirenL, et al. Conditions of output stabilization for nonlinear models in the Takagi–Sugeno. Fuzzy Sets Syst2006; 157: 1248–1259.
43.
JiangJYuX.Fault-tolerant control systems: a comparative study between active and passive approaches. Annu Rev Control2012; 36(1): 60–72.
44.
RotondoDNejjariFTorrenA, et al. Fault tolerant control design for polytopic uncertain lpv systems: application to a quadrotor. In: Conference on control and fault-tolerant systems, Nice, 9–11 October 2013, pp.643–648. New York: IEEE.
45.
AbbaspourAMokhtariSSargolzaeiA, et al. A survey on active fault-tolerant control systems. Electronics2020; 9: 1513.
46.
AbdelkrimNTelliliAAbdelkrimMN.Additive fault tolerant control applied to delayed singularly perturbed system. J Softw Eng Appl2012; 5(4): 217.
47.
SellamiLAbderrahimK.Classification and statistical learning for detecting of switching time for switched linear systems. J Innov Digit Ecosyst2015; 2: 13–19.
48.
SellamiLAbderrahimK.Self-adaptative multi-kernel algorithm for switched linear systems identification. Int J Model Identif Control2019; 31: 103–111.
49.
MasseyJLSain MichaelK.Inverses of linear sequential circuits. IEEE Trans Comput1968; 100(4): 330–333.
50.
JadidiSBadihiHZhangY.Passive fault-tolerant control strategies for power converter in a hybrid microgrid. Energies2020; 13(21): 5625.
