Passive and active FTC comparison for polytopic LPV systems

Fault-tolerant control (FTC) allows to preserve performance and stability despite the presence of faults. The literature considers two main groups of techniques: the passive and the active FTC techniques. In case of the passive techniques, the fault is taken into account as a system perturbation, so that the control law has fault capabilities that allow the system to cope with the fault presence. On the other hand, in the case of the active FTC techniques, the control law uses some information given by a Fault Detection and Isolation (FDI) module, so that through some automatic adjustment in the control loop, the fault is tolerated with minimum performance degradation. In this paper, a linear parameter-varying (LPV)/linear matrix inequalities (LMIs)-based technique is used to achieve fault tolerance and to compare benefits and drawbacks of passive and active FTC. The proposed approach is applied to a two-wheel differential robot.

[1]  Jakob Stoustrup,et al.  Robust and fault-tolerant linear parameter-varying control of wind turbines , 2011 .

[2]  John R. Broussard,et al.  Application of precomputed control laws in a reconfigurable aircraft flight control system , 1989 .

[3]  Yen-Ping Shih.  Integral Action in the Optimal Control of Linear Systems with Quadratic Performance Index , 1970 .

[4]  Didier Theilliol,et al.  Fault Tolerant Control Design For Polytopic LPV Systems , 2007, Int. J. Appl. Math. Comput. Sci..

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

[6]  Andres Marcos,et al.  Reconfigurable LPV control design for Boeing 747-100/200 longitudinal axis , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[7]  Ricardo Salvador Sánchez Peña,et al.  LPV control of a 6-DOF vehicle , 2002, IEEE Trans. Control. Syst. Technol..

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

[9]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

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

[11]  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.

[12]  JinJiang.  Fault-tolerant Control Systems--An Introductory Overview , 2005 .

[13]  Vicenc Puig,et al.  Fault-Tolerant Control design using LPV Admissible Model Matching: Application to a two-degree of freedom helicopter , 2009, 2009 17th Mediterranean Conference on Control and Automation.

[14]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[15]  Ian Postlethwaite,et al.  Affine LPV modelling and its use in gain-scheduled helicopter control , 1998 .

[16]  Damiano Rotondo,et al.  Fault estimation and virtual sensor FTC approach for LPV systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

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

[18]  Jin Jiang,et al.  Fault-tolerant control systems: A comparative study between active and passive approaches , 2012, Annu. Rev. Control..

[19]  Damiano Rotondo,et al.  Fault Estimation and Virtual Actuator FTC Approach for LPV Systems , 2012 .

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