Adaptive Actuator/Component Fault Compensation for Nonlinear Systems

An active fault compensation control law is developed for a class of nonlinear systems to guarantee closed-loop stability in the presence of faults, based on a neural network representation of the fault dynamics. Changes in the systems due to faults are modeled as unknown nonlinear functions. The closed-loop stability of the robust fault compensation scheme is established in the Lyapunov's sense. The nonlinear fault function is represented by a neural network, then an adaptive corrective control law is formulated to ensure system stability. The main contributions presented are the design of the fault compensation and corrective control law of nonlinear systems with unmatched uncertainties and the stability analysis of the closed-loop systems in the presence of fault modeling errors. Applications of the proposed design indicate that the fault compensation control law is effective for a nonlinear fermentation process. © 2008 American Institute of Chemical Engineers AIChE J, 2008

[1]  Guanghong Yang,et al.  Reliable control using redundant controllers , 1998, IEEE Trans. Autom. Control..

[2]  Jin Jiang,et al.  Design of reconfigurable control systems using eigenstructure assignments , 1994 .

[3]  Anthony J. Calise,et al.  Intelligent aerodynamic/propulsion flight control for flight safety: a nonlinear adaptive approach , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[4]  Yixin Diao,et al.  Stable fault-tolerant adaptive fuzzy/neural control for a turbine engine , 2001, IEEE Trans. Control. Syst. Technol..

[5]  Ron J. Patton,et al.  Fault-Tolerant Control: The 1997 Situation , 1997 .

[6]  N. E. Wu,et al.  Concepts and methods in fault-tolerant control , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[7]  Basil Kouvaritakis,et al.  Simultaneous optimization of tracking performance and accommodation of sensor faults , 2002 .

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

[9]  S. Joe Qin,et al.  Subspace approach to multidimensional fault identification and reconstruction , 1998 .

[10]  Youmin Zhang,et al.  Integrated active fault-tolerant control using IMM approach , 2001 .

[11]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[12]  A.N. Gundes,et al.  Reliable decentralized control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[13]  Marios M. Polycarpou,et al.  Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach , 2004, IEEE Transactions on Automatic Control.

[14]  Mathukumalli Vidyasagar,et al.  Reliable stabilization using a multi-controller configuration , 1983, The 22nd IEEE Conference on Decision and Control.

[15]  D. Siljak,et al.  Reliable stabilization via factorization methods , 1992 .

[16]  Robert F. Stengel,et al.  Restructurable control using proportional-integral implicit model following , 1990 .

[17]  Sirish L. Shah,et al.  From data to diagnosis and control using generalized orthonormal basis filters. Part II: Model predictive and fault tolerant control , 2006 .

[18]  Marc Bodson,et al.  Multivariable adaptive algorithms for reconfigurable flight control , 1997, IEEE Trans. Control. Syst. Technol..

[19]  Torsten Jeinsch,et al.  LMI-BASED INTEGRATION OF ROBUST H∞-CONTROL AND RFD FOR LTI SYSTEMS , 2002 .

[20]  Christopher Edwards,et al.  Decentralised sliding mode control for nonminimum phase interconnected systems based on a reduced-order compensator , 2006, Autom..

[21]  Y. Zhang,et al.  Fault accommodation for nonlinear systems using fuzzy adaptive sliding control , 2005, Int. J. Syst. Sci..

[22]  William R. Perkins,et al.  Design of reliable control systems , 1992 .

[23]  Youmin Zhang,et al.  Detection, estimation, and accommodation of loss of control effectiveness , 2000 .

[24]  Marios M. Polycarpou,et al.  High-order neural network structures for identification of dynamical systems , 1995, IEEE Trans. Neural Networks.

[25]  A. Schaft.  L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[26]  Jovan D. Boskovic,et al.  Stable multiple model adaptive flight control for accommodation of a large class of control effector failures , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[27]  Panagiotis D. Christofides,et al.  Integrated fault-detection and fault-tolerant control of process systems , 2006 .

[28]  N. Eva Wu,et al.  Coverage in fault-tolerant control , 2004, Autom..

[29]  Dragoslav D. Šiljak,et al.  Reliable control using multiple control systems , 1980 .

[30]  D. Dawson,et al.  On the state observation and output feedback problems for nonlinear uncertain dynamic systems , 1992 .

[31]  Panagiotis D. Christofides,et al.  Fault‐tolerant control of process systems using communication networks , 2005 .

[32]  Y. Endow.  Optimal control via Fourier series of operational matrix of integration , 1989 .

[33]  Jovan D. Boskovic,et al.  A stable scheme for automatic control reconfiguration in the presence of actuator failures , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[34]  In-Beum Lee,et al.  Fault detection and diagnosis based on modified independent component analysis , 2006 .

[35]  J. V. Medanic,et al.  Design of Reliable Controllers Using Redundant Control Elements , 1993, 1993 American Control Conference.

[36]  Youqing Wang,et al.  Robust fault-tolerant control of a class of non-minimum phase nonlinear processes , 2007 .