© The Institution of Engineering and Technology
This study deals with the design of a robust fault estimation and fault-tolerant control for vehicle lateral dynamics subject to external disturbance and unknown sensor faults. Firstly, a descriptor state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Secondly, based on the information of on-line fault estimates, a robust fault-tolerant controller based on static output-feedback controller (SOFC) design approach is developed. To provide linear matrix inequalities of less conservatism, the results are conducted in the non-quadratic framework dealing with unmeasurable premise variables case. Simulation results show the effectiveness of the proposed control approach when the vehicle road adhesion conditions change and the sideslip angle is unavailable for measurement.
References
-
-
1)
-
4. Dahmani, H., Chadli, M., Rabhi, A., El Hajjaji, A.: ‘Road curvature estimation for vehicle lane departure detection using a robust Takagi–Sugeno fuzzy observer’. Veh. Syst. Dyn., 2012.
-
2)
-
K. Zhang ,
B. Jiang
.
Dynamic output feedback fault tolerant controller design for Takagi–Sugeno fuzzy systems.
IEEE Trans. Fuzzy Syst.
,
194 -
201
-
3)
-
34. Hongli, D., Ho, D.W.C., Gao, H.: ‘Fault detection for Markovian jump systems with sensor saturations and randomly varying nonlinearities’, IEEE Trans. Circuits Syst., I:Regul. Pap., 2012, 59, (10), pp. 2354–2362 (doi: 10.1109/TCSI.2012.2185330).
-
4)
-
42. Tanaka, K., Wang, H.O.: ‘Fuzzy control systems design and analysis. a linear matrix inequality approach’ (Wiley, New York, USA, 2001).
-
5)
-
15. Karimi, H.R., Zapateiro, M., Luo, N.: ‘A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations’, J. Franklin Inst., 2010, 347, pp. 957–973 (doi: 10.1016/j.jfranklin.2010.03.004).
-
6)
-
11. Isermann, R.: ‘Fault-Diagnosis Systems: An Introduction From Fault Detection to Fault Tolerance’ (Springer, 2007).
-
7)
-
29. Ding, S.X.: ‘Model-Based Fault Diagnosis Techniques Design Schemes, Algorithms and Tools’ (Springer-Verlag, 2008).
-
8)
-
K. Zhou ,
P.P. Khargonekar
.
Robust stabilization of linear systems with norm-bounded time-varying uncertainty.
Syst. Control Lett.
,
17 -
20
-
9)
-
28. Chadli, M., Karimi, H.: ‘Robust observer design for unknown inputs Takagi–Sugeno models’, IEEE Trans. Fuzzy Syst., 2013, 20, (1), pp. 158–164 (doi: 10.1109/TFUZZ.2012.2197215).
-
10)
-
16. Zhang, L., Boukas, E.K., Baron, L., Karimi, H.R.: ‘Fault detection for discrete-time markov jump linear systems with partially known transition probabilities’, Int. J. Control, 2010, 83, pp. 1564–1572 (doi: 10.1080/00207179.2010.481023).
-
11)
-
36. Shi, S.H., Yuan, Z.H., Zhang, Q.L.: ‘Fault-tolerant H∞ filter design of a class of switched systems with sensor failures’, Int. J. Innov. Comput. Inf. Control, 2009, 5, (11A), pp. 3827–3838.
-
12)
-
M. Johansson ,
A. Rantzer ,
K.-E. Årzén
.
Piecewise quadratic stability of fuzzy systems.
IEEE Trans. Fuzzy Syst.
,
8 ,
713 -
722
-
13)
-
21. Guerra, T.M., Kerkeni, H., Lauber, J., Vermeiren, l.: ‘An efficient Lyapunov function for discrete TS models: observer design’, IEEE Trans. Fuzzy Syst., 2012, 20, (1), pp. 187–192 (doi: 10.1109/TFUZZ.2011.2165545).
-
14)
-
45. Chadli, M., Guerra, T.M.: ‘LMI solution for robust static output feedback control of Takagi–Sugeno fuzzy models’, IEEE Trans. Fuzzy Syst., 2012, 20, (6), pp. 1160–1165 (doi: 10.1109/TFUZZ.2012.2196048).
-
15)
-
33. Hongli, D., Ho, D.W.C., Gao, H.: ‘Distributed H∞ filtering for a class of Markovian jump nonlinear time-delay systems over lossy sensor networks’, IEEE Trans. Ind. Electron., 2013, 60, (10), pp. 4665–4672 (doi: 10.1109/TIE.2012.2213553).
-
16)
-
27. Liu, M., Shi, P.: ‘Sensor fault estimation and tolerant control for Ito stochastic systems with simultaneous input and output disturbances’, Automatica, 2013, 49, (5), pp. 1242–1250 (doi: 10.1016/j.automatica.2013.01.030).
-
17)
-
38. Aouaouda, S., Chadli, M., Cocquempot, V., Khadir, M.T.: ‘Multi-objective H−/H∞ Fault detection observer design for Takagi–Sugeno fuzzy systems with unmeasurable premise variables: descriptor approach’, Int. J. Adapt. Control Signal Process., 2013, 27, (12), pp. 1031–1047 (doi: 10.1002/acs.2374).
-
18)
-
20. Li, H., Jing, X., Karimi, H.R.: ‘Output-feedback based H∞ control for active suspension systems with control delay’, IEEE Trans. Ind. Electron., 2014, 61, (1), pp. 436–446 (doi: 10.1109/TIE.2013.2242418).
-
19)
-
12. Aouaouda, S., Chadli, M., Khadir, T., Bouarar, T.: ‘Robust fault tolerant tracking controller design for unknown inputs T–S models with unmeasurable premise variables’, J. Process Control, 2012, 22, (5), pp. 861–872 (doi: 10.1016/j.jprocont.2012.02.016).
-
20)
-
A. Sala ,
C. Arino
.
Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya's theorem.
Fuzzy Set. Syst.
,
24 ,
2671 -
2686
-
21)
-
K. Tanaka ,
T. Hori ,
H.O. Wang
.
A multiple Lyapunov function approach to stabilization of fuzzy control systems.
IEEE Trans. Fuzzy Syst.
,
4 ,
582 -
589
-
22)
-
R. Rajamani
.
Observers for Lipschitz nonlinear systems.
IEEE Trans. Autom. Control
,
397 -
401
-
23)
-
20. Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V.: ‘Linear matrix inequalities in system and control theory’. 15, SIAM Studies in Applied Mathematics, SIAM, Philadelphia, Pa, USA, 1994.
-
24)
-
9. Mufeed, M.M., Jiang, J., Zhang, Z.: ‘Active fault tolerant control systems’, Stochastic Analysis and Synthesis’, (Springer, 2003).
-
25)
-
38. Karimi, H.: ‘Delay-dependent ℋ∞ control of uncertain time-delay systems with mixed neutral, discrete, and distributed time-delays and Markovian switching parameters’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2011, 58, pp. 1910–1923 (doi: 10.1109/TCSI.2011.2106090).
-
26)
-
46. Mozelli, L.A., Palhares, R.M.: ‘Less conservative H∞ fuzzy control for discrete-time Takagi–Sugeno Systems’, Math. Prob. Eng., 2011, .
-
27)
-
L.A. Mozelli ,
R.M. Palhares ,
G.S. Avellar
.
A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems.
Inf. Sci.
,
8 ,
1149 -
1162
-
28)
-
B. Marx ,
D. Koenig ,
J. Ragot
.
Design of observers for Takagi-Sugeno descriptor systems with unknown inputs and application to fault diagnosis.
IET Control Theory Appl.
,
5 ,
1487 -
1495
-
29)
-
14. Yoneyama, J.: ‘H∞ filtering for fuzzy systems with immeasurable premise variables: an uncertain system approach’, Fuzzy Sets Syst., 2009, 160, (12), pp. 1738–1748 (doi: 10.1016/j.fss.2008.09.012).
-
30)
-
25. Su, X., Shi, P., Wu, L., Song, Y.D.: ‘A novel approach to filter design for T–S fuzzy discrete-time systems with timevarying delay’, IEEE Trans. Fuzzy Syst., 2012, 20, (6), pp. 1114–1129 (doi: 10.1109/TFUZZ.2012.2196522).
-
31)
-
2. Gao, Z.F., Jiang, B., Qi, R.Y., Xu, Y.F., Cheng, Y.H.: ‘Fuzzy observer design for near space vehicle with application to sensor fault estimation’, ICIC Express Lett., 2010, 4, (1), pp. 177–182.
-
32)
-
3. Oudghiri, M., Chadli, M., El Hajjaji, A.: ‘Robust observer-based fault tolerant control for vehicle lateral dynamics’, Int. J. Veh. Des., 2008, 48, (3/4), pp. 173–189 (doi: 10.1504/IJVD.2008.022575).
-
33)
-
H. Dong ,
Z. Wang ,
D.W.C. Ho ,
H. Gao
.
Robust H∞ filtering for Markovian jump systems with randomly occurring nonlinearities and sensor saturation: the finite-horizon case.
IEEE Trans. Signal Process.
,
7 ,
3048 -
3057
-
34)
-
26. Gao, Z., Shi, X., Ding, S.X.: ‘Fuzzy state-disturbance observer design for T–S fuzzy systems with application to sensor fault estimation’, IEEE Trans. SMC B., 2008, 38, (3), pp. 875–880.
-
35)
-
15. Aouaouda, S., Chadli, M., Shi, P., Karimi, H.R.: ‘Discrete-time H−/H∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty’, Int. J. Robust Nonlinear Control, 2013, .
-
36)
-
28. Gertler, J.J.: ‘Fault Detection and Diagnosis in Engineering Systems’ (Marcel Dekker, 1998).
-
37)
-
27. Bouarar, T., Guelton, K., Manamanni, N.: ‘Robust non-quadratic static output feedback controller design for Takagi–Sugeno systems using descriptor redundancy’, Eng. Appl. Artif. Intell., 2013, 26, (2), pp. 739–756 (doi: 10.1016/j.engappai.2012.11.001).
-
38)
-
Y.M. Zhang ,
J. Jiang
.
Bibliographical review on reconfigurable fault-tolerant control systems.
Ann. Rev. Control
,
2 ,
229 -
252
-
39)
-
40. Wang, H., Wang, J., Liu, J., Lam, J.: ‘Iterative LMI approach for robust fault detection observer design’. Proc. of the 42nd IEEE Conf. on Decision And Control, Maui Hawaii, USA, December 2003.
-
40)
-
1. Lin, M., popov, M., Mcwilliam, S.: ‘Stability and performance studies of driver-vehicle systems with electronic chassis control’, Veh. Syst. Dyn., 2004, 41, (2), pp. 477–486.
-
41)
-
6. Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M.: ‘Diagnosis and Fault-Tolerant Control’ (Springe-Verlag, Berlin, 2006).
-
42)
-
18. Ding, B.C.: ‘Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi–Sugeno's form’, Automatica, 2009, 45, (6), pp. 2093–2098 (doi: 10.1016/j.automatica.2009.05.017).
-
43)
-
F.E. Thau
.
Obrerving the state of nonlinear dynamic systems.
Int. J. Control
,
3 ,
471 -
479
-
44)
-
K. Tanaka ,
H. Ohtake ,
H.O. Wang
.
A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions.
IEEE Trans. Fuzzy Syst.
,
3 ,
333 -
341
-
45)
-
J. Gertler
.
Optimal residual decoupling for robust fault diagnosis.
Int. J. Control
,
2 ,
395 -
421
-
46)
-
B. Jiang ,
M. Staroswiecki ,
V. Cocquempot
.
Fault accommodation for nonlinear dynamic systems.
IEEE Trans. Autom. Control
,
9 ,
1578 -
1583
-
47)
-
T. Takagi ,
M. Sugeno
.
Fuzzy identification of systems and its applications to modelling and control.
IEEE Trans. Syst. Man. Cybern.
,
1 ,
116 -
132
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