Observer-based fault-tolerant control for a class of switched nonlinear systems
Observer-based fault-tolerant control for a class of switched nonlinear systems
- Author(s): H. Yang ; B. Jiang ; M. Staroswiecki
- DOI: 10.1049/iet-cta:20060406
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- Author(s): H. Yang 1, 2 ; B. Jiang 2 ; M. Staroswiecki 3
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View affiliations
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Affiliations:
1: College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China
2: LAGIS-CNRS, UMR 8146, Université des Sciences et Technologies de Lille, Villeneuve d'Ascq Cedex, France
3: SATIE UMR CNRS 8029, Ecole Normale Supérieure de Cachan, Cachan Cedex, France
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Affiliations:
1: College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China
- Source:
Volume 1, Issue 5,
September 2007,
p.
1523 – 1532
DOI: 10.1049/iet-cta:20060406 , Print ISSN 1751-8644, Online ISSN 1751-8652
A class of nonlinear systems that are output–input stable in healthy situation is considered. An observer-based fault-tolerant control (FTC) method is proposed to make the origin asymptotically stable in spite of faults. The proposed FTC method can help to construct a family of Lyapunov functions for a class of switched nonlinear systems with unfixed or fixed dwell periods and to design a switching law that guarantees the fault-tolerant asymptotic stability of the origin. Several examples are included to illustrate the design procedures.
Inspec keywords: fault diagnosis; Lyapunov methods; observers; nonlinear control systems; time-varying systems; asymptotic stability
Other keywords:
Subjects: Simulation, modelling and identification; Stability in control theory; Time-varying control systems; Nonlinear control systems
References
-
-
1)
- R. Sepulchre , M. Jankovic , P.V. Kokotovic . (1997) Constructive nonlinear control.
-
2)
- J. Chen , R.J. Patton . (1999) Robust model-based fault diagnosis for dynamics systems.
-
3)
- H. Noura , D. Sauter , F. Hamelin , D. Theilliol . Fault-tolerant control in dynamic systems: application to a winding machine. IEEE Control Syst. Mag. , 1 , 33 - 49
-
4)
- D. Liberzon . Output-input stability implies feedback stabilization. Syst. Control Lett. , 4 , 237 - 248
-
5)
- B. Jiang , M. Staroswiecki , V. Cocquempot . Fault accommodation for a class of nonlinear systems. IEEE Trans. Autom. Control , 9 , 1578 - 1583
-
6)
- N.H. El-Farra , P. Mhaskar , P.D. Christofides . Output feedback control of switched nonlinear systems using multiple Lyapunov functions. Syst. Control Lett. , 12 , 1163 - 1182
-
7)
- W.P. Dayawansa , C.F. Martin . A converse Lyapunov theorem for a class of dynamical systems which undergo switching. IEEE Trans. Autom. Control , 751 - 760
-
8)
- L. Guo . H-infinity output feedback control for delay systems with nonlinear and parametric uncertainties. IEE Proc., Control Theory Appl. , 3 , 226 - 236
-
9)
- W.X. Xie , C.Y. Wen , Z.G. Li . Input-to-state stabilization of switched systems. IEEE Trans. Autom. Control , 7 , 1111 - 1116
-
10)
- J. Ezzine , A.H. Haddad . Controllability and observability of hybrid systems. Int. J. Control , 6 , 2045 - 2055
-
11)
- H. Gao , J. Lam , C. Wang . Robust energy-to-peak filter design for stochastic time-delay systems. Syst. Control Lett. , 101 - 111
-
12)
- B. Jiang , M. Staroswiecki , V. Cocquempot . Fault diagnosis based on adaptive observer for a class of nonlinear systems with unknown parameters. Int. J. Control , 4 , 415 - 426
-
13)
- S.N. Singh . A modified algorithm for invertibility in nonlinear systems. IEEE Trans. Autom. Control , 2 , 595 - 598
-
14)
- Yang, H., Jiang, B., Cocquempot, V., Staroswiecki, M.: `Adaptive fault tolerant strategy for a class of hybrid systems', Proc. IFAC Safeprocess'06, 2006, Beijing, China, p. 1021–1026.
-
15)
- Cocquempot, V., El Mezyani, T., Staroswiecki, M.: `Fault detection and isolation for hybrid systems using structured parity residuals', Proc. 5th Asian Control Conf., 2004, Melbourne, Australia, p. 1204–1212.
-
16)
- R. Marino , P. Tomei . (1995) Nonlinear control design–geometric, adaptive and robust.
-
17)
- H. Gao , J. Lam , C. Wang , Y. Wang . Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay. IEE Proc. Control Theory Appl. , 6 , 691 - 698
-
18)
- Z. Yang . An algebraic approach towards the controllability of controlled switching linear hybrid systems. Automatica , 7 , 1221 - 1228
-
19)
- R.A. DeCarlo , M.S. Branicky , S. Pettersson , B. Lennartson . Perspectives and results on the stability and stabilizability of hybrid systems. Proc. IEEE , 7 , 1069 - 1082
-
20)
- H.J. Gao , J. Lam , L.H. Xie , C.H. Wang . New approach to mixed H2/H∞ filtering for polytopic discrete-time systems. IEEE Trans. Signal Process. , 3183 - 3192
-
21)
- Kajdan, R., Graton, G., Aubry, D., Kratz, F.: `Fault detection of a nonlinear switching system using finite memory observers', Proc. IFAC Safeprocess'06, 2006, Beijing, China, p. 1051–1056.
-
22)
- D. Liberzon , A.S. Morse , E.D. Sontag . Output-input stability and minimum-phase nonlinear systems. IEEE Trans. Autom. Control , 4 , 422 - 436
-
23)
- J.N. Chiasson . Nonlinear differential-geometric techniques for control of a series dc moto. IEEE Trans. Control Syst. Technol. , 1 , 35 - 42
-
24)
- R.J. Patton , P.M. Frank , R.N. Clark . (2000) , Issues of fault diagnosis for dynamic systems.
-
25)
- J. Hespanha , D. Liberzon , A. Morse . Supervision of integral-input-to-state stabilizing controllers. Automatica , 8 , 1327 - 1335
-
26)
- X. Zhang , T. Parisini , M.M. Polycarpou . Adaptive fault-tolerant control of nonlinear uncertain systems: a diagnostic information-based approach. IEEE Trans. Autom. Control , 8 , 1259 - 1274
-
27)
- H.K. Khalil . (1988) Nonlinear systems.
-
28)
- T. Kailath . (1980) Linear systems.
-
29)
- M. Blanke , M. Kinnaert , J. Lunze , M. Staroswiecki . (2003) Diagnosis and fault-tolerant control.
-
30)
- P. Shi , E.K. Boukas , K. Agarwal . Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Trans. Autom. Control , 11 , 2139 - 2144
-
1)