Robust fault tolerant control for Lipschitz nonlinear systems with simultaneous actuator and sensor faults

This paper proposes a robust Fault Tolerant Control (FTC) design for a Lipschitz nonlinear systems submit both to sensor and actuator fault as well as norm bounded uncertainties. First, by transforming sensor fault as a pseudo-actuator fault, An Sliding Mode Observer (SMO) is designed in order to estimate nonlinear system states and simultaneous faults. Sufficient stability conditions are found using multi-objective optimization. Second, an integral sliding mode controller is destined to stand behind stability of the closed-loop system even the presence of simultaneous actuator and sensor faults. Simulations based on nonlinear single-link manipulator model has shown the effectiveness of the proposed FTC approach.

[1]  Michel Kinnaert,et al.  Diagnosis and Fault-Tolerant Control , 2004, IEEE Transactions on Automatic Control.

[2]  M. T. Khadir,et al.  Robust fault tolerant tracking controller design for unknown inputs T–S models with unmeasurable premise variables , 2012 .

[3]  Jian Zhang,et al.  Robust sensor fault estimation and fault-tolerant control for uncertain Lipschitz nonlinear systems , 2014, 2014 American Control Conference.

[4]  Ali Zemouche,et al.  A robust ℋ∞ observer‐based stabilization method for systems with uncertain parameters and Lipschitz nonlinearities , 2016 .

[5]  Marcel Staroswiecki,et al.  Fault Accommodation for Nonlinear Dynamic Systems , 2006, IEEE Transactions on Automatic Control.

[6]  Anis Sellami,et al.  An H∞ sliding mode observer for Takagi–Sugeno nonlinear systems with simultaneous actuator and sensor faults An , 2015, Int. J. Appl. Math. Comput. Sci..

[7]  Jianglin Lan,et al.  A new strategy for integration of fault estimation within fault-tolerant control , 2016, Autom..

[8]  Vicenç Puig,et al.  A fault-tolerant control scheme for non-linear discrete-time systems: Application to the twin-rotor system , 2010 .

[9]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[10]  Ron J. Patton,et al.  FAULT-TOLERANT CONTROL SYSTEMS: THE 1997 SITUATION , 1997 .

[11]  Steven X. Ding,et al.  Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems , 2007, Autom..

[12]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[13]  Christopher Edwards,et al.  Robust sliding mode observer-based actuator fault detection and isolation for a class of nonlinear systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[14]  F. Thau Observing the state of non-linear dynamic systems† , 1973 .

[15]  Peng Shi,et al.  Fault tolerant control for damaged aircraft based on sliding mode control scheme , 2014 .

[16]  Ke Zhang,et al.  Observer-based integrated robust fault estimation and accommodation design for discrete-time systems , 2010, Int. J. Control.

[17]  R. Rajamani,et al.  Existence and design of observers for nonlinear systems: Relation to distance to unobservability , 1998 .

[18]  R. Rajamani Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..