A fault-tolerant control scheme for non-linear discrete-time systems: Application to the twin-rotor system

In this paper, an active FTC scheme is proposed. First, it is developed in the context of linear systems and then it is extended to non-linear systems with the differential mean value theorem. The key contribution of the proposed approach is an integrated FTC design procedure of the fault identification and fault-tolerant control schemes. Fault identification is based on the use of an observer. While, the FTC controller is implemented as a state feedback controller. This controller is designed such that it can stabilize the faulty plant using Lyapunov theory and LMIs. Finally, the last part of the paper shows application results regarding the Twin-Rotor MIMO System (TRMS) that confirm the high performance of the proposed approach.

[1]  Marios M. Polycarpou,et al.  Fault diagnosis of a class of nonlinear uncertain systems with Lipschitz nonlinearities using adaptive estimation , 2010, Autom..

[2]  Vicenç Puig,et al.  LMI-based strategies for designing observers and unknown input observers for non-linear discrete-time systems , 2007 .

[3]  W. P. M. H. Heemels,et al.  Decoupling-based reconfigurable control of linear systems after actuator faults , 2009, 2009 European Control Conference (ECC).

[4]  Marcin Witczak.  Modelling and Estimation Strategies for Fault Diagnosis of Non-Linear Systems: From Analytical to Soft Computing Approaches , 2007 .

[5]  Guillaume Ducard,et al.  Fault-tolerant Flight Control and Guidance Systems , 2009 .

[6]  Marcin Witczak,et al.  State-Space GMDH Neural Networks for Actuator Robust Fault Diagnosis , 2012 .

[7]  Jie Chen,et al.  An LMI approach to fault-tolerant control of uncertain systems , 1998, Proceedings of the 1998 IEEE International Symposium on Intelligent Control (ISIC) held jointly with IEEE International Symposium on Computational Intelligence in Robotics and Automation (CIRA) Intell.

[8]  Der-Cherng Liaw,et al.  Reliable control of nonlinear systems , 2000, IEEE Trans. Autom. Control..

[9]  Rolf Isermann,et al.  Fault-Diagnosis Applications: Model-Based Condition Monitoring: Actuators, Drives, Machinery, Plants, Sensors, and Fault-tolerant Systems , 2011 .

[10]  Wei Chen,et al.  Integrated design of observer based fault detection for a class of uncertain nonlinear systems , 2011, Int. J. Appl. Math. Comput. Sci..

[11]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[12]  Guillaume Ducard,et al.  Fault-tolerant Flight Control and Guidance Systems: Practical Methods for Small Unmanned Aerial Vehicles , 2009 .

[13]  Akbar Rahideh,et al.  Mathematical dynamic modelling of a twin-rotor multiple input-multiple output system , 2007 .

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

[15]  A. Zemouche,et al.  Observer Design for Nonlinear Systems: An Approach Based on the Differential Mean Value Theorem. , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[16]  Christophe Aubrun,et al.  Performance evaluation based fault tolerant control with actuator saturation avoidance , 2011, Int. J. Appl. Math. Comput. Sci..

[17]  Hong Wang,et al.  Design of fault diagnosis filters and fault-tolerant control for a class of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[18]  Thomas Steffen,et al.  Control Reconfiguration After Actuator Failures Using Disturbance Decoupling Methods , 2006, IEEE Transactions on Automatic Control.

[19]  Zhong-Ping Jiang,et al.  On Uniform Global Asymptotic Stability of Nonlinear Discrete-Time Systems With Applications , 2006, IEEE Transactions on Automatic Control.

[20]  Jan Lunze,et al.  H∞-based virtual actuator synthesis for optimal trajectory recovery , 2009 .

[21]  Michel Verhaegen,et al.  RECONFIGURABLE ROBUST FAULT-TOLERANT CONTROL AND STATE ESTIMATION , 2002 .

[22]  Hassan Hammouri,et al.  Failure diagnosis and nonlinear observer. Application to a hydraulic process , 2002, J. Frankl. Inst..

[23]  Minyue Fu,et al.  A linear matrix inequality approach to robust H∞ filtering , 1997, IEEE Trans. Signal Process..

[24]  Ali Zemouche,et al.  Observer Design for Lipschitz Nonlinear Systems: The Discrete-Time Case , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[25]  Zhihua Qu,et al.  Robust fault-tolerant self-recovering control of nonlinear uncertain systems , 2003, Autom..

[26]  M. V. Iordache,et al.  Diagnosis and Fault-Tolerant Control , 2007, IEEE Transactions on Automatic Control.

[27]  Dragan Nesic,et al.  On uniform asymptotic stability of time-varying parameterized discrete-time cascades , 2004, IEEE Transactions on Automatic Control.

[28]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

[29]  Robert Engel,et al.  Nonlinear observers for Lipschitz continuous systems with inputs , 2007, Int. J. Control.

[30]  Alex M. Andrew,et al.  Fault Diagnosis: Models, Artificial Intelligence, Applications , 2005 .

[31]  Hassan Hammouri,et al.  Observer-based approach to fault detection and isolation for nonlinear systems , 1999, IEEE Trans. Autom. Control..

[32]  D. Siljak,et al.  Robust stability and stabilization of discrete-time non-linear systems: The LMI approach , 2001 .

[33]  Vicenç Puig,et al.  Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter , 2012, Int. J. Appl. Math. Comput. Sci..

[34]  Józef Korbicz,et al.  Confidence estimation of the multi-layer perceptron and its application in fault detection systems , 2008, Eng. Appl. Artif. Intell..

[35]  Bin Jiang,et al.  Fault estimation and accommodation for linear MIMO discrete-time systems , 2005, IEEE Transactions on Control Systems Technology.