Hybrid fault-tolerant flight control against actuator faults and input saturation: a set-invariance approach

A novel fault-tolerant flight control system subject to actuator faults is studied in the framework of linear matrix inequality (LMI) approach. The deflection limits of control surfaces are taken into consideration explicitly in the design process. A set-invariance condition is proposed to obtain the design parameters. To improve the system performance, the regional pole placement problem is also addressed and the related LMI condition can be taken as an additional D-stability constraint. The proposed hybrid fault-tolerant control method combines the benefits of a nominal controller and a reliable controller. The reliable controller is switched in only when a fault has been detected by an observer-based fault detector, which reduces the conservativeness of a pure passive fault-tolerant control system. Same control structure is shared by both the nominal and reliable controllers, which simplify the design process further. Moreover, the stability of the closed-loop system can always be guaranteed in disturbance-free situation with zero initial residuals. The design techniques are applied to the pitch and roll attitude tracking control of a flying-wing unmanned aerial vehicle (UAV). Numerical studies indicate that stable output tracking is always achieved for both the wind-free and wind-present cases. When the wind is imposed, the stability of the closed-loop system is closely related to the observer gain which determines the detection delay.

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

[2]  Zidong Wang,et al.  Satisfactory reliable H∞ guaranteed cost control with D-stability and control input constraints , 2008 .

[3]  Andres Marcos,et al.  A robust integrated controller/diagnosis aircraft application , 2005 .

[4]  Jin Jiang Fault-tolerant Control Systems—An Introductory Overview , 2005 .

[5]  Bin Yao,et al.  Adaptive robust actuator fault-tolerant control in presence of input saturation , 2011, Proceedings of the 2011 American Control Conference.

[6]  Marc Bodson,et al.  COMMAND LIMITING IN RECONFIGURABLE FLIGHT CONTROL , 1998 .

[7]  M. Benosman,et al.  A Survey of Some Recent Results on Nonlinear Fault Tolerant Control , 2010 .

[8]  Youmin Zhang,et al.  Incorporating Performance Degradation in Fault Tolerant Control System Design with Multiple Actuator Failures , 2008 .

[9]  Kai-Yew Lum,et al.  Application of passivity and cascade structure to robust control against loss of actuator effectiveness , 2010 .

[10]  Youmin Zhang,et al.  Adaptive Sliding Mode Fault Tolerant Attitude Tracking Control for Flexible Spacecraft Under Actuator Saturation , 2012, IEEE Transactions on Control Systems Technology.

[11]  Jan H. Richter,et al.  Reconfigurable Control of Nonlinear Dynamical Systems: A fault-hiding Approach , 2011 .

[12]  J. Stoustrup,et al.  An architecture for fault tolerant controllers , 2005 .

[13]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

[14]  Youmin Zhang,et al.  A Review on Fault-Tolerant Control for Unmanned Aerial Vehicles (UAVs) , 2011 .

[15]  Midori Maki,et al.  A stability guaranteed active fault‐tolerant control system against actuator failures , 2004 .

[16]  Jan Lunze,et al.  Reconfigurable Fault-tolerant Control: A Tutorial Introduction , 2008, Eur. J. Control.

[17]  Pascal Gahinet,et al.  H/sub /spl infin// design with pole placement constraints: an LMI approach , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[18]  Timothy W. McLain,et al.  Small Unmanned Aircraft: Theory and Practice , 2012 .

[19]  A. T. Miller,et al.  An Integrated Approach to Controls and Diagnostics: The 4-Parameter Controller , 1988, 1988 American Control Conference.

[20]  Youmin Zhang,et al.  Fault tolerant control system design with explicit consideration of performance degradation , 2003 .

[21]  Inseok Hwang,et al.  A Survey of Fault Detection, Isolation, and Reconfiguration Methods , 2010, IEEE Transactions on Control Systems Technology.

[22]  Christopher Edwards,et al.  Fault Tolerant Flight Control , 2010 .

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

[24]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[25]  Kai-Yew Lum,et al.  Online References Reshaping and Control Reallocation for Nonlinear Fault Tolerant Control , 2009, IEEE Transactions on Control Systems Technology.

[26]  M Steinberg,et al.  Historical Overview of Research in Reconfigurable Flight Control , 2005 .

[27]  Zhiqiang Zheng,et al.  Integrated Adaptive Fault Diagnosis and State-Feedback Control for Systems With Constant Actuator Faults and Control Input Constraints , 2011 .

[28]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[29]  Youmin Zhang,et al.  Actuator Fault Tolerant Control Design Based on a Reconfigurable Reference Input , 2008, Int. J. Appl. Math. Comput. Sci..

[30]  Zhiqiang Zheng,et al.  Fault-tolerant control for output tracking systems subject to actuator saturation and constant disturbances: an LMI approach , 2011 .

[31]  S. Gutman,et al.  A general theory for matrix root-clustering in subregions of the complex plane , 1981 .

[32]  Christopher Edwards,et al.  Fault tolerant flight control : a benchmark challenge , 2010 .

[33]  Jan H. Richter,et al.  Reconfigurable Control of Nonlinear Dynamical Systems , 2011 .

[34]  Youmin Zhangand Jin Jiang Integrated Design of Reconé gurable Fault-Tolerant Control Systems , 2000 .

[35]  Jin Jiang,et al.  Hybrid Fault-Tolerant Flight Control System Design Against Partial Actuator Failures , 2012, IEEE Transactions on Control Systems Technology.